Search a number
-
+
131022000211344 = 24311248147727673
BaseRepresentation
bin11101110010100111101111…
…110001111100010110010000
3122011220120200110201020122020
4131302213233301330112100
5114133131024023230334
61142354402001211440
736412012210156404
oct3562475761742620
9564816613636566
10131022000211344
1138825133423570
1212840b36930b80
135815424747c58
14244d6da3dd104
1510232b2480e49
hex7729efc7c590

131022000211344 has 40 divisors (see below), whose sum is σ = 369243818778912. Its totient is φ = 39703636427520.

The previous prime is 131022000211327. The next prime is 131022000211409. The reversal of 131022000211344 is 443112000220131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124073863309 + ... + 124073864364.

Almost surely, 2131022000211344 is an apocalyptic number.

It is an amenable number.

131022000211344 is an abundant number, since it is smaller than the sum of its proper divisors (238221818567568).

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

131022000211344 is a wasteful number, since it uses less digits than its factorization.

131022000211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248147727695 (or 248147727689 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131022000211344 its reverse (443112000220131), we get a palindrome (574134000431475).

The spelling of 131022000211344 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 248147727673 496295455346 744443183019 992590910692 1488886366038 1985181821384 2729625004403 2977772732076 3970363642768 5459250008806 5955545464152 8188875013209 10918500017612 11911090928304 16377750026418 21837000035224 32755500052836 43674000070448 65511000105672 131022000211344