Search a number
-
+
312131324032340 = 225314112278966327
BaseRepresentation
bin100011011111000011011110…
…0101100010011010101010100
31111221011110111122100202012012
41012332012330230103111110
5311402424422423013330
63023503052320043352
7122513513120402411
oct10676067454232524
91457143448322165
10312131324032340
119050017319555a
122b011184a63558
1310521b1c099ac7
145711345699108
1526143ba97dc95
hex11be1bcb13554

312131324032340 has 48 divisors (see below), whose sum is σ = 693123091282944. Its totient is φ = 117878076729600.

The previous prime is 312131324032337. The next prime is 312131324032369. The reversal of 312131324032340 is 43230423131213.

It is a junction number, because it is equal to n+sod(n) for n = 312131324032297 and 312131324032306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6139457744 + ... + 6139508583.

It is an arithmetic number, because the mean of its divisors is an integer number (14440064401728).

Almost surely, 2312131324032340 is an apocalyptic number.

It is an amenable number.

312131324032340 is an abundant number, since it is smaller than the sum of its proper divisors (380991767250604).

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

312131324032340 is a wasteful number, since it uses less digits than its factorization.

312131324032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278966408 (or 12278966406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 312131324032340 its reverse (43230423131213), we get a palindrome (355361747163553).

The spelling of 312131324032340 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 12710 25420 12278966327 24557932654 49115865308 61394831635 122789663270 245579326540 380647956137 503437619407 761295912274 1006875238814 1522591824548 1903239780685 2013750477628 2517188097035 3806479561370 5034376194070 7612959122740 10068752388140 15606566201617 31213132403234 62426264806468 78032831008085 156065662016170 312131324032340