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10131434024231 = 1329251107067053
BaseRepresentation
bin1001001101101110100010…
…0001101010110100100111
31022212120000001112110212202
42103123220201222310213
52311443134102233411
633314152212205115
72063654244203312
oct223335041526447
938776001473782
1010131434024231
113256798420843
12117765890979b
1358650c1623b0
14270514c45979
1512881db1c83b
hex936e886ad27

10131434024231 has 16 divisors (see below), whose sum is σ = 11331976995360. Its totient is φ = 8993632368000.

The previous prime is 10131434024221. The next prime is 10131434024233. The reversal of 10131434024231 is 13242043413101.

10131434024231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131434024231 is a prime.

It is a super-2 number, since 2×101314340242312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131434024194 and 10131434024203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131434024233) 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, 53438900 + ... + 53628153.

It is an arithmetic number, because the mean of its divisors is an integer number (708248562210).

Almost surely, 210131434024231 is an apocalyptic number.

10131434024231 is a deficient number, since it is larger than the sum of its proper divisors (1200542971129).

10131434024231 is a wasteful number, since it uses less digits than its factorization.

10131434024231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107067346.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10131434024231 its reverse (13242043413101), we get a palindrome (23373477437332).

The spelling of 10131434024231 in words is "ten trillion, one hundred thirty-one billion, four hundred thirty-four million, twenty-four thousand, two hundred thirty-one".

Divisors: 1 13 29 251 377 3263 7279 94627 107067053 1391871689 3104944537 26873830303 40364278981 349359793939 779341078787 10131434024231