Search a number
-
+
131020140032430 = 235111028713859501
BaseRepresentation
bin11101110010100110000000…
…111001111011000110101110
3122011220101212211110100212220
4131302212000321323012232
5114133113221322014210
61142353453231140210
736411615132001305
oct3562460071730656
9564811784410786
10131020140032430
11388243693a6620
12128406b7974666
1358151b924767c
14244d5a133d43c
151023203edbc70
hex772980e7b1ae

131020140032430 has 64 divisors (see below), whose sum is σ = 343037971938816. Its totient is φ = 31762141200000.

The previous prime is 131020140032413. The next prime is 131020140032437. The reversal of 131020140032430 is 34230041020131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131020140032430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020140032437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32017680 + ... + 35877180.

It is an arithmetic number, because the mean of its divisors is an integer number (5359968311544).

Almost surely, 2131020140032430 is an apocalyptic number.

131020140032430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131020140032430 is an abundant number, since it is smaller than the sum of its proper divisors (212017831906386).

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

131020140032430 is a wasteful number, since it uses less digits than its factorization.

131020140032430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962393.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131020140032430 its reverse (34230041020131), we get a palindrome (165250181052561).

The spelling of 131020140032430 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty million, thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 102871 205742 308613 514355 617226 1028710 1131581 1543065 2263162 3086130 3394743 3859501 5657905 6789486 7719002 11315810 11578503 16973715 19297505 23157006 33947430 38595010 42454511 57892515 84909022 115785030 127363533 212272555 254727066 424545110 636817665 1273635330 397030727371 794061454742 1191092182113 1985153636855 2382184364226 3970307273710 4367338001081 5955460910565 8734676002162 11910921821130 13102014003243 21836690005405 26204028006486 43673380010810 65510070016215 131020140032430