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11321213033232 = 243341659969929
BaseRepresentation
bin1010010010111110110011…
…1000011001101100010000
31111002022000210122110002000
42210233230320121230100
52440441321014030412
640024520553354000
72245634133002634
oct244575470315420
944068023573060
1011321213033232
113675332683033
12132a163408900
1364178003611b
142b1d41b22dc4
151497563464dc
hexa4bece19b10

11321213033232 has 160 divisors (see below), whose sum is σ = 33339209904000. Its totient is φ = 3676104714240.

The previous prime is 11321213033213. The next prime is 11321213033239. The reversal of 11321213033232 is 23233031212311.

11321213033232 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 121 + 303 + 3 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11321213033196 and 11321213033205.

It is not an unprimeable number, because it can be changed into a prime (11321213033239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11187244 + ... + 12157172.

It is an arithmetic number, because the mean of its divisors is an integer number (208370061900).

Almost surely, 211321213033232 is an apocalyptic number.

11321213033232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321213033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669604952000).

11321213033232 is an abundant number, since it is smaller than the sum of its proper divisors (22017996870768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11321213033232 is a wasteful number, since it uses less digits than its factorization.

11321213033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970646 (or 970634 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11321213033232 its reverse (23233031212311), we get a palindrome (34554244245543).

The spelling of 11321213033232 in words is "eleven trillion, three hundred twenty-one billion, two hundred thirteen million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 659 738 984 1107 1318 1476 1968 1977 2214 2636 2952 3954 4428 5272 5904 5931 7908 8856 10544 11862 15816 17712 17793 23724 27019 31632 35586 47448 54038 71172 81057 94896 108076 142344 162114 216152 243171 284688 324228 432304 486342 648456 729513 969929 972684 1296912 1459026 1939858 1945368 2909787 2918052 3879716 3890736 5819574 5836104 7759432 8729361 11639148 11672208 15518864 17458722 23278296 26188083 34917444 39767089 46556592 52376166 69834888 79534178 104752332 119301267 139669776 159068356 209504664 238602534 318136712 357903801 419009328 477205068 636273424 639183211 715807602 954410136 1073711403 1278366422 1431615204 1908820272 1917549633 2147422806 2556732844 2863230408 3835099266 4294845612 5113465688 5726460816 5752648899 7670198532 8589691224 10226931376 11505297798 15340397064 17179382448 17257946697 23010595596 26206511651 30680794128 34515893394 46021191192 52413023302 69031786788 78619534953 92042382384 104826046604 138063573576 157239069906 209652093208 235858604859 276127147152 314478139812 419304186416 471717209718 628956279624 707575814577 943434419436 1257912559248 1415151629154 1886868838872 2830303258308 3773737677744 5660606516616 11321213033232