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131412401130303 = 3317598815508023
BaseRepresentation
bin11101111000010011010101…
…011111010000101100111111
3122020021220101011220202221000
4131320103111133100230333
5114211030044142132203
61143254005035541343
736452142543215406
oct3570232537205477
9566256334822830
10131412401130303
1138965760584237
12128a472b2ba853
1358431a046c787
1424645737a263d
15102d5112b24a3
hex7784d57d0b3f

131412401130303 has 64 divisors (see below), whose sum is σ = 209868933657600. Its totient is φ = 80965279549440.

The previous prime is 131412401130271. The next prime is 131412401130319. The reversal of 131412401130303 is 303031104214131.

131412401130303 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 240 + 113 + 0 + 303 = 666.

It is not a de Polignac number, because 131412401130303 - 25 = 131412401130271 is a prime.

It is a super-2 number, since 2×1314124011303032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412401130323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21104350 + ... + 26612372.

It is an arithmetic number, because the mean of its divisors is an integer number (3279202088400).

Almost surely, 2131412401130303 is an apocalyptic number.

131412401130303 is a deficient number, since it is larger than the sum of its proper divisors (78456532527297).

131412401130303 is a wasteful number, since it uses less digits than its factorization.

131412401130303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508989 (or 5508983 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131412401130303 its reverse (303031104214131), we get a palindrome (434443505344434).

The spelling of 131412401130303 in words is "one hundred thirty-one trillion, four hundred twelve billion, four hundred one million, one hundred thirty thousand, three hundred three".

Divisors: 1 3 9 17 27 51 59 153 177 459 531 881 1003 1593 2643 3009 7929 9027 14977 23787 27081 44931 51979 134793 155937 404379 467811 883643 1403433 2650929 5508023 7952787 16524069 23858361 49572207 93636391 148716621 280909173 324973357 842727519 974920071 2528182557 2924760213 4852568263 5524547069 8774280639 14557704789 16573641207 43673114367 49720923621 82493660471 131019343101 149162770863 247480981413 286301527517 742442944239 858904582551 2227328832717 2576713747653 4867125967789 7730141242959 14601377903367 43804133710101 131412401130303