Search a number
-
+
312150293181 = 32196129925251
BaseRepresentation
bin1001000101011011001…
…10110111101010111101
31002211201021211212120200
410202231212313222331
520103240433340211
6355222212034113
731360242466536
oct4425546675275
91084637755520
10312150293181
11110422780411
12505b6602939
13235881658bc
1411172ac368d
1581be21ab56
hex48ad9b7abd

312150293181 has 24 divisors (see below), whose sum is σ = 482395062240. Its totient is φ = 193915620000.

The previous prime is 312150293173. The next prime is 312150293243. The reversal of 312150293181 is 181392051213.

312150293181 is a `hidden beast` number, since 31 + 21 + 502 + 93 + 18 + 1 = 666.

It is not a de Polignac number, because 312150293181 - 23 = 312150293173 is a prime.

It is a super-2 number, since 2×3121502931812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312150293101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14952195 + ... + 14973056.

It is an arithmetic number, because the mean of its divisors is an integer number (20099794260).

Almost surely, 2312150293181 is an apocalyptic number.

It is an amenable number.

312150293181 is a deficient number, since it is larger than the sum of its proper divisors (170244769059).

312150293181 is a wasteful number, since it uses less digits than its factorization.

312150293181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29925337 (or 29925334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 312150293181 in words is "three hundred twelve billion, one hundred fifty million, two hundred ninety-three thousand, one hundred eighty-one".

Divisors: 1 3 9 19 57 61 171 183 549 1159 3477 10431 29925251 89775753 269327259 568579769 1705739307 1825440311 5117217921 5476320933 16428962799 34683365909 104050097727 312150293181