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131403033412002 = 232111739038334347
BaseRepresentation
bin11101111000001010100111…
…001000010000000110100010
3122020021000012022220101020100
4131320022213020100012202
5114210401403023141002
61143245415321123230
736451361444013342
oct3570124710200642
9566230168811210
10131403033412002
1138961793766890
12128a2956029516
1358423397715b1
142463d255cad22
15102d163b9c11c
hex7782a72101a2

131403033412002 has 48 divisors (see below), whose sum is σ = 328858928547552. Its totient is φ = 37476800972160.

The previous prime is 131403033411977. The next prime is 131403033412009. The reversal of 131403033412002 is 200214330304131.

It is a happy number.

131403033412002 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 303 + 341 + 2 + 0 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (131403033412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19519163808 + ... + 19519170539.

It is an arithmetic number, because the mean of its divisors is an integer number (6851227678074).

Almost surely, 2131403033412002 is an apocalyptic number.

131403033412002 is an abundant number, since it is smaller than the sum of its proper divisors (197455895135550).

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

131403033412002 is a wasteful number, since it uses less digits than its factorization.

131403033412002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39038334383 (or 39038334380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131403033412002 its reverse (200214330304131), we get a palindrome (331617363716133).

The spelling of 131403033412002 in words is "one hundred thirty-one trillion, four hundred three billion, thirty-three million, four hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 39038334347 78076668694 117115003041 234230006082 351345009123 429421677817 663651683899 702690018246 858843355634 1288265033451 1327303367798 1990955051697 2576530066902 3864795100353 3981910103394 5972865155091 7300168522889 7729590200706 11945730310182 14600337045778 21900505568667 43801011137334 65701516706001 131403033412002