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130521125031 = 3116759032621
BaseRepresentation
bin111100110001110101…
…0100101000010100111
3110110220020112010202220
41321203222211002213
54114301402000111
6135543252403423
712300302154213
oct1714352450247
9413806463686
10130521125031
1150398855080
1221367316573
13c400b4513b
14646279d943
1535dd9a0e06
hex1e63aa50a7

130521125031 has 16 divisors (see below), whose sum is σ = 192682478208. Its totient is φ = 77923058400.

The previous prime is 130521125023. The next prime is 130521125051.

130521125031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130521125031 - 23 = 130521125023 is a prime.

It is a super-2 number, since 2×1305211250312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130521124992 and 130521125010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130521125051) 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 15 ways as a sum of consecutive naturals, for example, 29514100 + ... + 29518521.

It is an arithmetic number, because the mean of its divisors is an integer number (12042654888).

Almost surely, 2130521125031 is an apocalyptic number.

130521125031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130521125031 is a deficient number, since it is larger than the sum of its proper divisors (62161353177).

130521125031 is a wasteful number, since it uses less digits than its factorization.

130521125031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59032702.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 130521 and 125031, that added together give a palindrome (255552).

The spelling of 130521125031 in words is "one hundred thirty billion, five hundred twenty-one million, one hundred twenty-five thousand, thirty-one".

Divisors: 1 3 11 33 67 201 737 2211 59032621 177097863 649358831 1948076493 3955185607 11865556821 43507041677 130521125031