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20013030120031 = 134342643839563
BaseRepresentation
bin1001000110011101001011…
…00011010001101001011111
32121212020010110221012000221
410203032211203101221133
510110343141202320111
6110321505322502211
74133615354145004
oct443164543215137
977766113835027
1020013030120031
116416529845083
1222b27ab364967
13b222b39a0230
144d28c89c78ab
1524a8b8c87371
hex1233a58d1a5f

20013030120031 has 16 divisors (see below), whose sum is σ = 22054258205056. Its totient is φ = 18043503813216.

The previous prime is 20013030120019. The next prime is 20013030120067. The reversal of 20013030120031 is 13002103031002.

It is a cyclic number.

It is not a de Polignac number, because 20013030120031 - 227 = 20012895902303 is a prime.

It is a super-2 number, since 2×200130301200312 (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 = 20013030119987 and 20013030120014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013030120091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23417656 + ... + 24257218.

It is an arithmetic number, because the mean of its divisors is an integer number (1378391137816).

Almost surely, 220013030120031 is an apocalyptic number.

20013030120031 is a deficient number, since it is larger than the sum of its proper divisors (2041228085025).

20013030120031 is a wasteful number, since it uses less digits than its factorization.

20013030120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882262.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20013030120031 its reverse (13002103031002), we get a palindrome (33015133151033).

The spelling of 20013030120031 in words is "twenty trillion, thirteen billion, thirty million, one hundred twenty thousand, thirty-one".

Divisors: 1 13 43 559 42643 554359 839563 1833649 10914319 23837437 36101209 469315717 35801485009 465419305117 1539463855387 20013030120031