Search a number
-
+
312131100000402 = 2337181411345853
BaseRepresentation
bin100011011111000011010111…
…1010101101100000010010010
31111221011102221000210202011000
41012332012233111230002102
5311402423443100003102
63023503014154202430
7122513504430224154
oct10676065725540222
91457142830722130
10312131100000402
1190500068788aa1
122b011121a23416
1310521ab484a127
145711323a1cad4
1526143a5e7901c
hex11be1af56c092

312131100000402 has 32 divisors (see below), whose sum is σ = 703394028178560. Its totient is φ = 102578295773520.

The previous prime is 312131100000389. The next prime is 312131100000409. The reversal of 312131100000402 is 204000001131213.

312131100000402 is a `hidden beast` number, since 31 + 2 + 131 + 100 + 0 + 0 + 0 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312131100000409) 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, 40705669093 + ... + 40705676760.

It is an arithmetic number, because the mean of its divisors is an integer number (21981063380580).

Almost surely, 2312131100000402 is an apocalyptic number.

312131100000402 is an abundant number, since it is smaller than the sum of its proper divisors (391262928178158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312131100000402 is a wasteful number, since it uses less digits than its factorization.

312131100000402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81411345935 (or 81411345929 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312131100000402 its reverse (204000001131213), we get a palindrome (516131101131615).

The spelling of 312131100000402 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, four hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 81411345853 162822691706 244234037559 488468075118 732702112677 1465404225354 2198106338031 4396212676062 5780205555563 11560411111126 17340616666689 34681233333378 52021850000067 104043700000134 156065550000201 312131100000402