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131302110401 = 71117206948481
BaseRepresentation
bin111101001001000110…
…1110011010011000001
3110112220200002022021222
41322102031303103001
54122401320013101
6140152551524425
712325534344410
oct1722215632301
9415820068258
10131302110401
1150759688a30
1221544989715
13c4c689b267
1464d83b9477
15363731e01b
hex1e923734c1

131302110401 has 32 divisors (see below), whose sum is σ = 173418174720. Its totient is φ = 96246374400.

The previous prime is 131302110337. The next prime is 131302110421. The reversal of 131302110401 is 104011203131.

It is not a de Polignac number, because 131302110401 - 26 = 131302110337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 131302110401.

It is not an unprimeable number, because it can be changed into a prime (131302110421) 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, 2684081 + ... + 2732561.

It is an arithmetic number, because the mean of its divisors is an integer number (5419317960).

Almost surely, 2131302110401 is an apocalyptic number.

131302110401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131302110401 is a deficient number, since it is larger than the sum of its proper divisors (42116064319).

131302110401 is a wasteful number, since it uses less digits than its factorization.

131302110401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50585.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131302110401 its reverse (104011203131), we get a palindrome (235313313532).

The spelling of 131302110401 in words is "one hundred thirty-one billion, three hundred two million, one hundred ten thousand, four hundred one".

Divisors: 1 7 11 17 77 119 187 1309 2069 14483 22759 35173 48481 159313 246211 339367 386903 533291 824177 2708321 3733037 5769239 9065947 63461629 100307189 702150323 1103379079 1705222213 7723653553 11936555491 18757444343 131302110401