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21331201310232 = 23311319241282053
BaseRepresentation
bin1001101100110100011101…
…01011010011111000011000
32210112020120002120202002120
410312122032223103320120
510243442300013411412
6113211230230101240
74331062024325322
oct466321653237030
983466502522076
1021331201310232
11688456a044430
1224861681aa820
13bb96a6605c08
1453a615602612
1526ed180cdb8c
hex13668ead3e18

21331201310232 has 128 divisors (see below), whose sum is σ = 60059360286720. Its totient is φ = 6254785152000.

The previous prime is 21331201310227. The next prime is 21331201310297. The reversal of 21331201310232 is 23201310213312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75487318 + ... + 75769370.

It is an arithmetic number, because the mean of its divisors is an integer number (469213752240).

Almost surely, 221331201310232 is an apocalyptic number.

21331201310232 is a gapful number since it is divisible by the number (22) 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 21331201310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30029680143360).

21331201310232 is an abundant number, since it is smaller than the sum of its proper divisors (38728158976488).

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

21331201310232 is a wasteful number, since it uses less digits than its factorization.

21331201310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291345 (or 291341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21331201310232 its reverse (23201310213312), we get a palindrome (44532511523544).

The spelling of 21331201310232 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 9241 18482 27723 36964 55446 73928 101651 110892 203302 221784 282053 286471 304953 406604 564106 572942 609906 813208 846159 859413 1128212 1145884 1219812 1692318 1718826 2256424 2291768 2439624 3102583 3151181 3384636 3437652 6205166 6302362 6769272 6875304 8743643 9307749 9453543 12410332 12604724 17487286 18615498 18907086 24820664 25209448 26230929 34974572 37230996 37814172 52461858 69949144 74461992 75628344 96180073 104923716 192360146 209847432 288540219 384720292 577080438 769440584 1154160876 2308321752 2606451773 5212903546 7819355319 10425807092 15638710638 20851614184 28670969503 31277421276 57341939006 62554842552 80800004963 86012908509 114683878012 161600009926 172025817018 229367756024 242400014889 323200019852 344051634036 484800029778 646400039704 688103268072 888800054593 969600059556 1777600109186 1939200119112 2666400163779 3555200218372 5332800327558 7110400436744 10665600655116 21331201310232