Search a number
-
+
132331311120 = 2435739746117
BaseRepresentation
bin111101100111110001…
…1111001000000010000
3110122120101201010021010
41323033203321000100
54132003303423440
6140443035130520
712363202404531
oct1731743710020
9418511633233
10132331311120
1151137636738
12217915a3a40
13c62bb90678
146594d68688
15369786c580
hex1ecf8f9010

132331311120 has 80 divisors (see below), whose sum is σ = 410782726080. Its totient is φ = 35240550912.

The previous prime is 132331311113. The next prime is 132331311157. The reversal of 132331311120 is 21113133231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 195699 + ... + 550418.

It is an arithmetic number, because the mean of its divisors is an integer number (5134784076).

Almost surely, 2132331311120 is an apocalyptic number.

132331311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331311120 is an abundant number, since it is smaller than the sum of its proper divisors (278451414960).

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

132331311120 is a wasteful number, since it uses less digits than its factorization.

132331311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746872 (or 746866 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132331311120 its reverse (21113133231), we get a palindrome (153444444351).

The spelling of 132331311120 in words is "one hundred thirty-two billion, three hundred thirty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 11824 14780 17736 22170 29560 35472 44340 59120 88680 177360 746117 1492234 2238351 2984468 3730585 4476702 5968936 7461170 8953404 11191755 11937872 14922340 17906808 22383510 29844680 35813616 44767020 59689360 89534040 179068080 551380463 1102760926 1654141389 2205521852 2756902315 3308282778 4411043704 5513804630 6616565556 8270706945 8822087408 11027609260 13233131112 16541413890 22055218520 26466262224 33082827780 44110437040 66165655560 132331311120