Search a number
-
+
131002000131121 = 71729499550113829
BaseRepresentation
bin11101110010010101000111…
…101011101100010000110001
3122011211200001122000220100021
4131302111013223230100301
5114132314044013143441
61142341253230123441
736410403454246540
oct3562250753542061
9564750048026307
10131002000131121
11388176aa94a249
1212839094950581
135813588042962
14244c7600d6157
1510229e16eb3d1
hex772547aec431

131002000131121 has 64 divisors (see below), whose sum is σ = 164360145600000. Its totient is φ = 101807709696000.

The previous prime is 131002000131103. The next prime is 131002000131133. The reversal of 131002000131121 is 121131000200131.

It is a happy number.

It is not a de Polignac number, because 131002000131121 - 29 = 131002000130609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131002000131095 and 131002000131104.

It is not an unprimeable number, because it can be changed into a prime (131002000131421) 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, 9472984635 + ... + 9472998463.

It is an arithmetic number, because the mean of its divisors is an integer number (2568127275000).

Almost surely, 2131002000131121 is an apocalyptic number.

It is an amenable number.

131002000131121 is a deficient number, since it is larger than the sum of its proper divisors (33358145468879).

131002000131121 is a wasteful number, since it uses less digits than its factorization.

131002000131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19882.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131002000131121 its reverse (121131000200131), we get a palindrome (252133000331252).

The spelling of 131002000131121 in words is "one hundred thirty-one trillion, two billion, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 17 29 119 203 493 499 3451 3493 5501 8483 13829 14471 38507 59381 93517 96803 101297 159529 235093 246007 401041 654619 1116703 1645651 1722049 2711993 2744999 2807287 6817697 6900671 18983951 19214993 46664983 47723879 48304697 76073329 79604971 117311407 200119459 326654881 532513303 557234797 821179849 1293246593 1353284507 1400836213 2206126541 3402030803 9052726151 9472991549 15442885787 23814215621 37504151197 37960591171 262529058379 265724138197 645330049907 1100857143959 4517310349349 7706000007713 18714571447303 131002000131121