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130221111031 = 112931101130379
BaseRepresentation
bin111100101000111001…
…0000111011011110111
3110110010022222211221021
41321101302013123313
54113143101023111
6135453414202011
712260000115634
oct1712162073367
9413108884837
10130221111031
1150254471120
12212a2953307
13c383940b6b
1464349c518b
1535c248cd71
hex1e51c876f7

130221111031 has 32 divisors (see below), whose sum is σ = 153201715200. Its totient is φ = 109517520000.

The previous prime is 130221110989. The next prime is 130221111043. The reversal of 130221111031 is 130111122031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 130221111031 - 221 = 130219013879 is a prime.

It is a super-4 number, since 4×1302211110314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130221110996 and 130221111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221111061) 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, 933600 + ... + 1063978.

It is an arithmetic number, because the mean of its divisors is an integer number (4787553600).

Almost surely, 2130221111031 is an apocalyptic number.

130221111031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130221111031 is a deficient number, since it is larger than the sum of its proper divisors (22980604169).

130221111031 is a wasteful number, since it uses less digits than its factorization.

130221111031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130551.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130221111031 its reverse (130111122031), we get a palindrome (260332233062).

The spelling of 130221111031 in words is "one hundred thirty billion, two hundred twenty-one million, one hundred eleven thousand, thirty-one".

Divisors: 1 11 29 31 101 319 341 899 1111 2929 3131 9889 32219 34441 90799 130379 998789 1434169 3780991 4041749 13168279 41590901 44459239 117210721 144851069 381880091 408216649 1289317931 4200681001 4490383139 11838282821 130221111031