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13101202332031 = 1123167437309271
BaseRepresentation
bin1011111010100101110010…
…0000101101100101111111
31201101110111022112200000011
42332221130200231211333
53204122230244111111
643510335333444051
72521350002260162
oct276513440554577
951343438480004
1013101202332031
1141a1209194730
1215771261a0627
137405905c7918
1433415ca21ad9
1517abd421d021
hexbea5c82d97f

13101202332031 has 16 divisors (see below), whose sum is σ = 14913758919168. Its totient is φ = 11392244978400.

The previous prime is 13101202331947. The next prime is 13101202332089. The reversal of 13101202332031 is 13023320210131.

It is not a de Polignac number, because 13101202332031 - 217 = 13101202200959 is a prime.

It is a super-2 number, since 2×131012023320312 (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 = 13101202331993 and 13101202332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101202332091) 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, 42206926 + ... + 42516196.

It is an arithmetic number, because the mean of its divisors is an integer number (932109932448).

Almost surely, 213101202332031 is an apocalyptic number.

13101202332031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101202332031 is a deficient number, since it is larger than the sum of its proper divisors (1812556587137).

13101202332031 is a wasteful number, since it uses less digits than its factorization.

13101202332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476742.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13101202332031 its reverse (13023320210131), we get a palindrome (26124522542162).

The spelling of 13101202332031 in words is "thirteen trillion, one hundred one billion, two hundred two million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 11 23 253 167437 309271 1841807 3401981 3851051 7113233 42361561 78245563 51783408427 569617492697 1191018393821 13101202332031