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131012303232 = 2731934194219
BaseRepresentation
bin111101000000011110…
…0010001100110000000
3110112011110202120121010
41322000330101212000
54121303122200412
6140104120200520
712315415126506
oct1720074214600
9415143676533
10131012303232
1150620036578
1221483909140
13c47b82ba25
1464abada676
15361bb7533c
hex1e80f11980

131012303232 has 128 divisors (see below), whose sum is σ = 350722512000. Its totient is φ = 43330535424.

The previous prime is 131012303203. The next prime is 131012303251. The reversal of 131012303232 is 232303210131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 131012303199 and 131012303208.

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, 31050819 + ... + 31055037.

It is an arithmetic number, because the mean of its divisors is an integer number (2740019625).

Almost surely, 2131012303232 is an apocalyptic number.

131012303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175361256000).

131012303232 is an abundant number, since it is smaller than the sum of its proper divisors (219710208768).

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

131012303232 is a wasteful number, since it uses less digits than its factorization.

131012303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131012303232 its reverse (232303210131), we get a palindrome (363315513363).

The spelling of 131012303232 in words is "one hundred thirty-one billion, twelve million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 419 579 772 838 1158 1257 1544 1676 2316 2514 3088 3352 4219 4632 5028 6176 6704 8438 9264 10056 12352 12657 13408 16876 18528 20112 24704 25314 26816 33752 37056 40224 50628 53632 67504 74112 80448 80867 101256 135008 160896 161734 202512 242601 270016 323468 405024 485202 540032 646936 810048 814267 970404 1293872 1620096 1628534 1767761 1940808 2442801 2587744 3257068 3535522 3881616 4885602 5175488 5303283 6514136 7071044 7763232 9771204 10350976 10606566 13028272 14142088 15526464 19542408 21213132 26056544 28284176 31052928 39084816 42426264 52113088 56568352 78169632 84852528 104226176 113136704 156339264 169705056 226273408 312678528 339410112 341177873 678820224 682355746 1023533619 1364711492 2047067238 2729422984 4094134476 5458845968 8188268952 10917691936 16376537904 21835383872 32753075808 43670767744 65506151616 131012303232