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131301112310190 = 23251458901247891
BaseRepresentation
bin11101110110101011101100…
…001010000110100110101110
3122012220021010021100221201200
4131312223230022012212232
5114202214134222411230
61143130522010150330
736441122651650044
oct3566535412064656
9565807107327650
10131301112310190
1138922541982539
1212887050a223a6
135835845c50524
14245d01736c394
15102a69ae87160
hex776aec2869ae

131301112310190 has 24 divisors (see below), whose sum is σ = 341382892006728. Its totient is φ = 35013629949360.

The previous prime is 131301112310131. The next prime is 131301112310191. The reversal of 131301112310190 is 91013211103131.

131301112310190 is a `hidden beast` number, since 1 + 3 + 130 + 111 + 231 + 0 + 190 = 666.

It is a super-2 number, since 2×1313011123101902 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301112310191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729450623856 + ... + 729450624035.

It is an arithmetic number, because the mean of its divisors is an integer number (14224287166947).

Almost surely, 2131301112310190 is an apocalyptic number.

131301112310190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131301112310190 is an abundant number, since it is smaller than the sum of its proper divisors (210081779696538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131301112310190 is a wasteful number, since it uses less digits than its factorization.

131301112310190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458901247904 (or 1458901247901 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 131301112310190 in words is "one hundred thirty-one trillion, three hundred one billion, one hundred twelve million, three hundred ten thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1458901247891 2917802495782 4376703743673 7294506239455 8753407487346 13130111231019 14589012478910 21883518718365 26260222462038 43767037436730 65650556155095 131301112310190