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131023004841 = 3437210872
BaseRepresentation
bin111101000000110010…
…1000110010010101001
3110112012012220021110000
41322001211012102221
54121313342123331
6140105141413213
712315605110521
oct1720145062251
9415165807400
10131023004841
1150626085883
122148740a209
13c480b07a41
1464ad2c4681
15361ca8b0e6
hex1e819464a9

131023004841 has 45 divisors (see below), whose sum is σ = 201343806279. Its totient is φ = 84909709296.

The previous prime is 131023004831. The next prime is 131023004881. The reversal of 131023004841 is 148400320131.

The square root of 131023004841 is 361971.

It is a perfect power (a square), and thus also a powerful number.

131023004841 is a `hidden beast` number, since 1 + 310 + 2 + 300 + 4 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117241184025 + 13781820816 = 342405^2 + 117396^2 .

It is not a de Polignac number, because 131023004841 - 231 = 128875521193 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 (131023004831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120535800 + ... + 120536886.

Almost surely, 2131023004841 is an apocalyptic number.

131023004841 is the 361971-st square number.

131023004841 is the 180986-th centered octagonal number.

It is an amenable number.

131023004841 is a deficient number, since it is larger than the sum of its proper divisors (70320801438).

131023004841 is an frugal number, since it uses more digits than its factorization.

131023004841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 131023004841 by its product of nonzero digits (2304), we get a square (301877003153664 = 173746082).

Adding to 131023004841 its reverse (148400320131), we get a palindrome (279423324972).

The spelling of 131023004841 in words is "one hundred thirty-one billion, twenty-three million, four thousand, eight hundred forty-one".

Divisors: 1 3 9 27 37 81 111 333 999 1087 1369 2997 3261 4107 9783 12321 29349 36963 40219 88047 110889 120657 361971 1085913 1181569 1488103 3257739 3544707 4464309 10634121 13392927 31902363 40178781 43718053 95707089 120536343 131154159 393462477 1180387431 1617567961 3541162293 4852703883 14558111649 43674334947 131023004841