Search a number
-
+
131012210114432 = 273133017190049
BaseRepresentation
bin11101110010011110101000…
…001111101011111110000000
3122011212122102011220210102022
4131302132220033223332000
5114133001001242130212
61142350102313341012
736411214461545663
oct3562365017537600
9564778364823368
10131012210114432
1138820a6a145889
121283b064107768
1358145243a14ba
14244d04c0b96da
151022ddcc36772
hex7727a83ebf80

131012210114432 has 32 divisors (see below), whose sum is σ = 269420270808000. Its totient is φ = 63393004892160.

The previous prime is 131012210114417. The next prime is 131012210114441. The reversal of 131012210114432 is 234411012210131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16508591057 + ... + 16508598992.

It is an arithmetic number, because the mean of its divisors is an integer number (8419383462750).

Almost surely, 2131012210114432 is an apocalyptic number.

It is an amenable number.

131012210114432 is an abundant number, since it is smaller than the sum of its proper divisors (138408060693568).

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

131012210114432 is an equidigital number, since it uses as much as digits as its factorization.

131012210114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33017190094 (or 33017190082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 131012210114432 its reverse (234411012210131), we get a palindrome (365423222324563).

The spelling of 131012210114432 in words is "one hundred thirty-one trillion, twelve billion, two hundred ten million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 33017190049 66034380098 132068760196 264137520392 528275040784 1023532891519 1056550081568 2047065783038 2113100163136 4094131566076 4226200326272 8188263132152 16376526264304 32753052528608 65506105057216 131012210114432