Search a number
-
+
131120153254412 = 22731727532042021
BaseRepresentation
bin11101110100000011001010…
…001010000101101000001100
3122012020222000220222110021122
4131310003022022011220030
5114141233033213120122
61142511433345420112
736422055426236000
oct3564031212055014
9565228026873248
10131120153254412
1138862821242583
1212857b6a03a638
13582176770636a
14245436c042700
151025b09489142
hex7740ca285a0c

131120153254412 has 96 divisors (see below), whose sum is σ = 283435920835200. Its totient is φ = 52869564088320.

The previous prime is 131120153254411. The next prime is 131120153254471. The reversal of 131120153254412 is 214452351021131.

It is not an unprimeable number, because it can be changed into a prime (131120153254411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63189962 + ... + 65231982.

It is an arithmetic number, because the mean of its divisors is an integer number (2952457508700).

Almost surely, 2131120153254412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120153254412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141717960417600).

131120153254412 is an abundant number, since it is smaller than the sum of its proper divisors (152315767580788).

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

131120153254412 is a wasteful number, since it uses less digits than its factorization.

131120153254412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044816 (or 2044800 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 131120153254412 in words is "one hundred thirty-one trillion, one hundred twenty billion, one hundred fifty-three million, two hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2753 3332 5506 5831 11012 11662 19271 23324 38542 46801 77084 93602 134897 187204 269794 327607 539588 655214 944279 1310428 1888558 2042021 2293249 3777116 4084042 4586498 8168084 9172996 14294147 16052743 28588294 32105486 34714357 57176588 64210972 69428714 100059029 138857428 200118058 243000499 400236116 486000998 700413203 972001996 1400826406 1701003493 2801652812 3402006986 5621683813 6804013972 11243367626 11907024451 22486735252 23814048902 39351786691 47628097804 78703573382 95568624821 157407146764 191137249642 275462506837 382274499284 550925013674 668980373747 1101850027348 1337960747494 1928237547859 2675921494988 3856475095718 4682862616229 7712950191436 9365725232458 18731450464916 32780038313603 65560076627206 131120153254412