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131010413034320 = 24510116214160029
BaseRepresentation
bin11101110010011100111101…
…001000010111101101010000
3122011212110202221101122221122
4131302130331020113231100
5114132433311214044240
61142345204115541412
736411122110612241
oct3562347510275520
9564773687348848
10131010413034320
11388202277a5a06
121283a8422ba868
1358142c8c944a1
14244cd1b562cc8
151022d350a84b5
hex77273d217b50

131010413034320 has 40 divisors (see below), whose sum is σ = 307615044089160. Its totient is φ = 51885312089600.

The previous prime is 131010413034301. The next prime is 131010413034349. The reversal of 131010413034320 is 23430314010131.

It can be written as a sum of positive squares in 4 ways, for example, as 23619638880016 + 107390774154304 = 4860004^2 + 10362952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 131010413034320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8107071935 + ... + 8107088094.

It is an arithmetic number, because the mean of its divisors is an integer number (7690376102229).

Almost surely, 2131010413034320 is an apocalyptic number.

131010413034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010413034320 is an abundant number, since it is smaller than the sum of its proper divisors (176604631054840).

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

131010413034320 is a wasteful number, since it uses less digits than its factorization.

131010413034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16214160143 (or 16214160137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131010413034320 its reverse (23430314010131), we get a palindrome (154440727044451).

The spelling of 131010413034320 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 16214160029 32428320058 64856640116 81070800145 129713280232 162141600290 259426560464 324283200580 648566401160 1297132802320 1637630162929 3275260325858 6550520651716 8188150814645 13101041303432 16376301629290 26202082606864 32752603258580 65505206517160 131010413034320