Search a number
-
+
102100231312131 = 31319137787086791
BaseRepresentation
bin10111001101110000010000…
…000001001101001100000011
3111101111200112200001121002110
4113031300100001031030003
5101340302233203442011
61001052110532350403
730335332624555233
oct2715602001151403
9441450480047073
10102100231312131
112a594512912308
12b54b860a75403
1344c801a0b8320
141b2d96b335cc3
15bc0cdbe78ba6
hex5cdc1004d303

102100231312131 has 16 divisors (see below), whose sum is σ = 154321537207040. Its totient is φ = 59524021493280.

The previous prime is 102100231312109. The next prime is 102100231312151. The reversal of 102100231312131 is 131213132001201.

It is not a de Polignac number, because 102100231312131 - 214 = 102100231295747 is a prime.

It is a super-2 number, since 2×1021002313121312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100231312098 and 102100231312107.

It is not an unprimeable number, because it can be changed into a prime (102100231312151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68893542655 + ... + 68893544136.

It is an arithmetic number, because the mean of its divisors is an integer number (9645096075440).

Almost surely, 2102100231312131 is an apocalyptic number.

102100231312131 is a deficient number, since it is larger than the sum of its proper divisors (52221305894909).

102100231312131 is a wasteful number, since it uses less digits than its factorization.

102100231312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137787086826.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102100231312131 its reverse (131213132001201), we get a palindrome (233313363313332).

The spelling of 102100231312131 in words is "one hundred two trillion, one hundred billion, two hundred thirty-one million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 137787086791 413361260373 1791232128283 2617954649029 5373696384849 7853863947087 34033410437377 102100231312131