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131403412222201 = 723772478440277
BaseRepresentation
bin11101111000001010111101…
…101101010011000011111001
3122020021001011201200221010201
4131320022331231103003321
5114210403142012102301
61143245521052242201
736451404023602300
oct3570127555230371
9566231151627121
10131403412222201
1138961968579569
12128a2a40a70361
13584239a0a4042
142463d5da37437
15102d187077201
hex7782bdb530f9

131403412222201 has 12 divisors (see below), whose sum is σ = 156988301642148. Its totient is φ = 109587401697312.

The previous prime is 131403412222153. The next prime is 131403412222207. The reversal of 131403412222201 is 102222214304131.

It can be written as a sum of positive squares in 2 ways, for example, as 96492330948601 + 34911081273600 = 9823051^2 + 5908560^2 .

It is a de Polignac number, because none of the positive numbers 2k-131403412222201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131403412222201.

It is not an unprimeable number, because it can be changed into a prime (131403412222207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36239218326 + ... + 36239221951.

It is an arithmetic number, because the mean of its divisors is an integer number (13082358470179).

Almost surely, 2131403412222201 is an apocalyptic number.

It is an amenable number.

131403412222201 is a deficient number, since it is larger than the sum of its proper divisors (25584889419947).

131403412222201 is an equidigital number, since it uses as much as digits as its factorization.

131403412222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72478440328 (or 72478440321 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131403412222201 its reverse (102222214304131), we get a palindrome (233625626526332).

The spelling of 131403412222201 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 37 49 259 1813 72478440277 507349081939 2681702290249 3551443573573 18771916031743 131403412222201