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21123133132112 = 2411647185498921
BaseRepresentation
bin1001100110110000111001…
…10110001100110101010000
32202210100111110121010220022
410303120130312030311100
510232040134040211422
6112531500003003012
74310044634103164
oct463303466146520
982710443533808
1021123133132112
1168042a7a79630
12245197a669468
13ba2b978c245b
14530517b8aca4
152696db693342
hex13361cd8cd50

21123133132112 has 40 divisors (see below), whose sum is σ = 44715628141632. Its totient is φ = 9586584185600.

The previous prime is 21123133132091. The next prime is 21123133132177.

21123133132112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211231331321122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92635589 + ... + 92863332.

Almost surely, 221123133132112 is an apocalyptic number.

21123133132112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21123133132112 is an abundant number, since it is smaller than the sum of its proper divisors (23592495009520).

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

21123133132112 is a wasteful number, since it uses less digits than its factorization.

21123133132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185499587 (or 185499581 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 2112313 and 3132112, that added together give a palindrome (5244425).

The spelling of 21123133132112 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 647 1294 2588 5176 7117 10352 14234 28468 56936 113872 185498921 370997842 741995684 1483991368 2040488131 2967982736 4080976262 8161952524 16323905048 32647810096 120017801887 240035603774 480071207548 960142415096 1320195820757 1920284830192 2640391641514 5280783283028 10561566566056 21123133132112