Search a number
-
+
312305023134 = 232136719919953
BaseRepresentation
bin1001000101101101101…
…01000111100010011110
31002212010001222222011200
410202312311013202132
520104100041220014
6355245420300330
731364131616346
oct4426665074236
91085101888150
10312305023134
111104a2053305
125063a3a16a6
13235b122c6a0
141118947dd26
1581ccad1a09
hex48b6d4789e

312305023134 has 48 divisors (see below), whose sum is σ = 739588052112. Its totient is φ = 94659611904.

The previous prime is 312305023127. The next prime is 312305023181. The reversal of 312305023134 is 431320503213.

312305023134 is a `hidden beast` number, since 3 + 1 + 23 + 0 + 502 + 3 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312305023098 and 312305023107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9944299 + ... + 9975654.

It is an arithmetic number, because the mean of its divisors is an integer number (15408084419).

Almost surely, 2312305023134 is an apocalyptic number.

312305023134 is an abundant number, since it is smaller than the sum of its proper divisors (427283028978).

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

312305023134 is a wasteful number, since it uses less digits than its factorization.

312305023134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19920041 (or 19920038 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 312305023134 its reverse (431320503213), we get a palindrome (743625526347).

The spelling of 312305023134 in words is "three hundred twelve billion, three hundred five million, twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 201 234 402 603 871 1206 1742 2613 5226 7839 15678 19919953 39839906 59759859 119519718 179279577 258959389 358559154 517918778 776878167 1334636851 1553756334 2330634501 2669273702 4003910553 4661269002 8007821106 12011731659 17350279063 24023463318 34700558126 52050837189 104101674378 156152511567 312305023134