Search a number
-
+
131031314132142 = 23338961431048991
BaseRepresentation
bin11101110010110000011010…
…111011101110110010101110
3122011221110201120111110000210
4131302300122323232302232
5114133304112404212032
61142402542115003250
736412462054166424
oct3562603273566256
9564843646443023
10131031314132142
1138829082937076
12128428b5b99526
13581627a25b3a8
14244dd413ad114
151023659ebb2cc
hex772c1aeeecae

131031314132142 has 32 divisors (see below), whose sum is σ = 262182878576640. Its totient is φ = 43657067226080.

The previous prime is 131031314132141. The next prime is 131031314132143. The reversal of 131031314132142 is 241231413130131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131031314132141) and next prime (131031314132143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031314132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124387267 + ... + 125436257.

It is an arithmetic number, because the mean of its divisors is an integer number (8193214955520).

Almost surely, 2131031314132142 is an apocalyptic number.

131031314132142 is an abundant number, since it is smaller than the sum of its proper divisors (131151564444498).

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

131031314132142 is a wasteful number, since it uses less digits than its factorization.

131031314132142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058528.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 131031314132142 its reverse (241231413130131), we get a palindrome (372262727262273).

The spelling of 131031314132142 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 3389 6143 6778 10167 12286 18429 20334 36858 1048991 2097982 3146973 6293946 20818627 41637254 62455881 124911762 3555030499 6443951713 7110060998 10665091497 12887903426 19331855139 21330182994 38663710278 21838552355357 43677104710714 65515657066071 131031314132142