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1130110132332 = 2232961123743037
BaseRepresentation
bin10000011100011111110…
…100000010000001101100
311000001000022120222021010
4100130133310002001230
5122003431143213312
62223055422105220
7144435116425626
oct20343764020154
94001008528233
101130110132332
113a6305787085
1216303371b210
1382751c20a1c
143c9aa3bdc16
151e5e40d193c
hex1071fd0206c

1130110132332 has 96 divisors (see below), whose sum is σ = 2774876771520. Its totient is φ = 357453573120.

The previous prime is 1130110132321. The next prime is 1130110132379. The reversal of 1130110132332 is 2332310110311.

It is a happy number.

It is a super-2 number, since 2×11301101323322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130110132299 and 1130110132308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26237518 + ... + 26280554.

It is an arithmetic number, because the mean of its divisors is an integer number (28904966370).

Almost surely, 21130110132332 is an apocalyptic number.

1130110132332 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 1130110132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387438385760).

1130110132332 is an abundant number, since it is smaller than the sum of its proper divisors (1644766639188).

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

1130110132332 is a wasteful number, since it uses less digits than its factorization.

1130110132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44371 (or 44369 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1130110132332 its reverse (2332310110311), we get a palindrome (3462420242643).

The spelling of 1130110132332 in words is "one trillion, one hundred thirty billion, one hundred ten million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1237 1769 2474 3538 3711 4948 5307 7076 7422 10614 14844 21228 35873 43037 71746 75457 86074 107619 129111 143492 150914 172148 215238 226371 258222 301828 430476 452742 516444 905484 1248073 2188253 2496146 2625257 3744219 4376506 4992292 5250514 6564759 7488438 7875771 8753012 10501028 13129518 14976876 15751542 26259036 31503084 53236769 76132453 106473538 152264906 159710307 212947076 228397359 304529812 319420614 456794718 638841228 913589436 1543866301 3087732602 3247442909 4631598903 6175465204 6494885818 9263197806 9742328727 12989771636 18526395612 19484657454 38969314908 94175844361 188351688722 282527533083 376703377444 565055066166 1130110132332