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21321122112312 = 23311372182752059
BaseRepresentation
bin1001101100100001101011…
…11010001110001100111000
32210111021112122210102211220
410312100311322032030320
510243311124230043222
6113202442133552040
74330254165500541
oct466206572161470
983437478712756
1021321122112312
1168802676568a0
1224842147a5620
13bb875b3a9489
14539d3ab454c8
1526e9282c9b5c
hex136435e8e338

21321122112312 has 64 divisors (see below), whose sum is σ = 59720096361600. Its totient is φ = 6286325927040.

The previous prime is 21321122112307. The next prime is 21321122112347.

21321122112312 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091366262 + ... + 1091385797.

It is an arithmetic number, because the mean of its divisors is an integer number (933126505650).

Almost surely, 221321122112312 is an apocalyptic number.

21321122112312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21321122112312 is an abundant number, since it is smaller than the sum of its proper divisors (38398974249288).

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

21321122112312 is a wasteful number, since it uses less digits than its factorization.

21321122112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182752116 (or 2182752112 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2132112 and 2112312, that added together give a palindrome (4244424).

The spelling of 21321122112312 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 2182752059 4365504118 6548256177 8731008236 13096512354 17462016472 24010272649 26193024708 48020545298 52386049416 72030817947 80761826183 96041090596 144061635894 161523652366 192082181192 242285478549 288123271788 323047304732 484570957098 576246543576 646094609464 888380088013 969141914196 1776760176026 1938283828392 2665140264039 3553520352052 5330280528078 7107040704104 10660561056156 21321122112312