Search a number
-
+
131213302032 = 24311350947527
BaseRepresentation
bin111101000110011101…
…1000001100100010000
3110112200110222101010010
41322030323001210100
54122211101131112
6140140100234520
712323405444031
oct1721473014420
9415613871103
10131213302032
115071354098a
122151b09ba40
13c4b1375827
1464ca69ca88
15362e62a63c
hex1e8cec1910

131213302032 has 80 divisors (see below), whose sum is σ = 342646462080. Its totient is φ = 43264628736.

The previous prime is 131213302019. The next prime is 131213302109. The reversal of 131213302032 is 230203312131.

It is a super-3 number, since 3×1312133020323 (a number of 34 digits) contains 333 as substring.

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, 2737053 + ... + 2784579.

It is an arithmetic number, because the mean of its divisors is an integer number (4283080776).

Almost surely, 2131213302032 is an apocalyptic number.

131213302032 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 131213302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171323231040).

131213302032 is an abundant number, since it is smaller than the sum of its proper divisors (211433160048).

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

131213302032 is a wasteful number, since it uses less digits than its factorization.

131213302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48160 (or 48154 counting only the distinct ones).

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

Adding to 131213302032 its reverse (230203312131), we get a palindrome (361416614163).

The spelling of 131213302032 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 509 678 904 1018 1356 1527 1808 2036 2712 3054 4072 5424 6108 8144 12216 24432 47527 57517 95054 115034 142581 172551 190108 230068 285162 345102 380216 460136 570324 690204 760432 920272 1140648 1380408 2281296 2760816 5370551 10741102 16111653 21482204 24191243 32223306 42964408 48382486 64446612 72573729 85928816 96764972 128893224 145147458 193529944 257786448 290294916 387059888 580589832 1161179664 2733610459 5467220918 8200831377 10934441836 16401662754 21868883672 32803325508 43737767344 65606651016 131213302032