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130120021031 = 71113431301601
BaseRepresentation
bin111100100101111000…
…0011111010000100111
3110102212021202221112012
41321023300133100213
54112441211133111
6135435403344435
712254331633620
oct1711360372047
9412767687465
10130120021031
11502023a5770
1221274b2211b
13c368a081b0
1464253cca47
1535b867048b
hex1e4bc1f427

130120021031 has 32 divisors (see below), whose sum is σ = 175112534016. Its totient is φ = 93375360000.

The previous prime is 130120021007. The next prime is 130120021093.

130120021031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130120021031 - 222 = 130115826727 is a prime.

It is a super-2 number, since 2×1301200210312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130120020997 and 130120021015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120023031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280631 + ... + 582231.

It is an arithmetic number, because the mean of its divisors is an integer number (5472266688).

Almost surely, 2130120021031 is an apocalyptic number.

130120021031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130120021031 is a deficient number, since it is larger than the sum of its proper divisors (44992512985).

130120021031 is a wasteful number, since it uses less digits than its factorization.

130120021031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302063.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 1301200 and 21031, that added together give a palindrome (1322231).

The spelling of 130120021031 in words is "one hundred thirty billion, one hundred twenty million, twenty-one thousand, thirty-one".

Divisors: 1 7 11 13 77 91 143 431 1001 3017 4741 5603 33187 39221 61633 301601 431431 2111207 3317611 3920813 23223277 27445691 43128943 129990031 301902601 909930217 1429890341 1689870403 10009232387 11829092821 18588574433 130120021031