Search a number
-
+
131042314221021 = 3376137573302513
BaseRepresentation
bin11101110010111010101010…
…100101101111010111011101
3122011222112010012002212012000
4131302322222211233113131
5114133444124420033041
61142412001425032513
736413331464332410
oct3562725245572735
9564875105085160
10131042314221021
1138832808125715
1212844a65a85739
1358173111b7318
1424506a62a3b77
151023aa0a76bb6
hex772eaa96f5dd

131042314221021 has 64 divisors (see below), whose sum is σ = 225514554954240. Its totient is φ = 73651555998720.

The previous prime is 131042314220977. The next prime is 131042314221041. The reversal of 131042314221021 is 120122413240131.

131042314221021 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 231 + 422 + 1 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 131042314221021 - 219 = 131042313696733 is a prime.

It is a super-2 number, since 2×1310423142210212 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042314221041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433027861 + ... + 433330373.

It is an arithmetic number, because the mean of its divisors is an integer number (3523664921160).

Almost surely, 2131042314221021 is an apocalyptic number.

It is an amenable number.

131042314221021 is a deficient number, since it is larger than the sum of its proper divisors (94472240733219).

131042314221021 is a wasteful number, since it uses less digits than its factorization.

131042314221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340163 (or 340157 counting only the distinct ones).

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

Adding to 131042314221021 its reverse (120122413240131), we get a palindrome (251164727461152).

The spelling of 131042314221021 in words is "one hundred thirty-one trillion, forty-two billion, three hundred fourteen million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 11529 37573 112719 263011 302513 338157 789033 907539 1014471 2117591 2291953 2367099 2722617 6352773 6875859 7101297 8167851 16043671 18453293 19058319 20627577 48131013 55359879 57174957 61882731 129173051 144393039 166079637 387519153 433179117 498238911 1162557459 3487672377 11366320949 34098962847 79564246643 102296888541 238692739929 306890665623 693345577889 716078219787 2080036733667 2148234659361 4853419045223 6240110201001 14560257135669 18720330603003 43680771407007 131042314221021