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131330051217 = 348936749639
BaseRepresentation
bin111101001001111100…
…0011000110010010001
3110112222121122211220000
41322103320120302101
54122430443114332
6140155430440213
712326324005461
oct1722370306221
9415877584800
10131330051217
1150773432312
1221552203069
13c4cc601ba1
1464dbdadba1
1536399dcb7c
hex1e93e18c91

131330051217 has 40 divisors (see below), whose sum is σ = 198933292800. Its totient is φ = 86331998016.

The previous prime is 131330051173. The next prime is 131330051231. The reversal of 131330051217 is 712150033131.

It is a happy number.

131330051217 is a `hidden beast` number, since 1 + 3 + 133 + 0 + 0 + 512 + 17 = 666.

It is not a de Polignac number, because 131330051217 - 27 = 131330051089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131330051257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2620884 + ... + 2670522.

It is an arithmetic number, because the mean of its divisors is an integer number (4973332320).

Almost surely, 2131330051217 is an apocalyptic number.

It is an amenable number.

131330051217 is a deficient number, since it is larger than the sum of its proper divisors (67603241583).

131330051217 is an equidigital number, since it uses as much as digits as its factorization.

131330051217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50107 (or 50098 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

Adding to 131330051217 its reverse (712150033131), we get a palindrome (843480084348).

The spelling of 131330051217 in words is "one hundred thirty-one billion, three hundred thirty million, fifty-one thousand, two hundred seventeen".

Divisors: 1 3 9 27 81 89 267 367 801 1101 2403 3303 7209 9909 29727 32663 49639 97989 148917 293967 446751 881901 1340253 2645703 4020759 4417871 13253613 18217513 39760839 54652539 119282517 163957617 357847551 491872851 1475618553 1621358657 4864075971 14592227913 43776683739 131330051217