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21131300313112 = 2311713382090319
BaseRepresentation
bin1001100111000000000111…
…01001100001100000011000
32202211010120122120221000111
410303200003221201200120
510232203400340004422
6112535330234014104
74310454215021413
oct463400351414030
982733518527014
1021131300313112
1168078091535a0
122453479877334
13ba389996b732
14530a90732b7a
15269a186b3a77
hex133803a61818

21131300313112 has 32 divisors (see below), whose sum is σ = 43831890547200. Its totient is φ = 9469852890400.

The previous prime is 21131300313107. The next prime is 21131300313113.

21131300313112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131300313113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1691038912 + ... + 1691051407.

It is an arithmetic number, because the mean of its divisors is an integer number (1369746579600).

Almost surely, 221131300313112 is an apocalyptic number.

21131300313112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131300313112 is an abundant number, since it is smaller than the sum of its proper divisors (22700590234088).

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

21131300313112 is a wasteful number, since it uses less digits than its factorization.

21131300313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382090407 (or 3382090403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 21131300313112 by its sum of digits (22), we get a palindrome (464888606888464).

It can be divided in two parts, 21131300 and 313112, that added together give a palindrome (21444412).

The spelling of 21131300313112 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 3382090319 6764180638 13528361276 27056722552 37202993509 74405987018 148811974036 240128412649 297623948072 480256825298 960513650596 1921027301192 2641412539139 5282825078278 10565650156556 21131300313112