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21131300242031 = 7191031583974443
BaseRepresentation
bin1001100111000000000111…
…01001010000001001101111
32202211010120122110022111212
410303200003221100021233
510232203400330221111
6112535330232305035
74310454214304240
oct463400351201157
982733518408455
1021131300242031
116807809105151
12245347984217b
13ba3899945285
14530a90714cc7
15269a1869c98b
hex133803a5026f

21131300242031 has 32 divisors (see below), whose sum is σ = 25684161085440. Its totient is φ = 16981904759904.

The previous prime is 21131300242021. The next prime is 21131300242037. The reversal of 21131300242031 is 13024200313112.

It is not a de Polignac number, because 21131300242031 - 214 = 21131300225647 is a prime.

It is a super-2 number, since 2×211313002420312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21131300241988 and 21131300242006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131300242037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21198296 + ... + 22172738.

It is an arithmetic number, because the mean of its divisors is an integer number (802630033920).

Almost surely, 221131300242031 is an apocalyptic number.

21131300242031 is a deficient number, since it is larger than the sum of its proper divisors (4552860843409).

21131300242031 is a wasteful number, since it uses less digits than its factorization.

21131300242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976155.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21131300242031 its reverse (13024200313112), we get a palindrome (34155500555143).

The spelling of 21131300242031 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred million, two hundred forty-two thousand, thirty-one".

Divisors: 1 7 19 103 133 721 1583 1957 11081 13699 30077 163049 210539 974443 1141343 3097931 6821101 18514417 21685517 100367629 129600919 702573403 1542543269 1906984951 10797802883 13348894657 29308322111 158881956707 205158254777 1112173696949 3018757177433 21131300242031