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21332112331332 = 22311574328139807
BaseRepresentation
bin1001101100110110001001…
…11110100101001001000100
32210112022220120211102002210
410312123010332211021010
510244001131224100312
6113211500452303420
74331123426015445
oct466330476451104
983468816742083
1021332112331332
116884997314030
122486381311b70
13bb97c028ab5a
1453a6a05cb2cc
1526ed6d085e3c
hex1366c4fa5244

21332112331332 has 48 divisors (see below), whose sum is σ = 54309379203072. Its totient is φ = 6463150642080.

The previous prime is 21332112331303. The next prime is 21332112331337. The reversal of 21332112331332 is 23313321123312.

It is a super-2 number, since 2×213321123313322 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21332112331332.

It is not an unprimeable number, because it can be changed into a prime (21332112331337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13311828 + ... + 14827979.

It is an arithmetic number, because the mean of its divisors is an integer number (1131445400064).

Almost surely, 221332112331332 is an apocalyptic number.

21332112331332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21332112331332 is an abundant number, since it is smaller than the sum of its proper divisors (32977266871740).

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

21332112331332 is a wasteful number, since it uses less digits than its factorization.

21332112331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145568 (or 28145566 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 21332112331332 its reverse (23313321123312), we get a palindrome (44645433454644).

The spelling of 21332112331332 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5743 11486 17229 22972 34458 63173 68916 126346 189519 252692 379038 758076 28139807 56279614 84419421 112559228 168838842 309537877 337677684 619075754 928613631 1238151508 1857227262 3714454524 161606911601 323213823202 484820734803 646427646404 969641469606 1777676027611 1939282939212 3555352055222 5333028082833 7110704110444 10666056165666 21332112331332