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130031332431 = 371121322717341
BaseRepresentation
bin111100100011001111…
…0001010110001001111
3110102122002220002122020
41321012132022301033
54112301010114211
6135422514421223
712252204042360
oct1710636126117
9412562802566
10130031332431
115016732a700
122124b291813
13c353525130
146417703b67
1535b09a2306
hex1e4678ac4f

130031332431 has 96 divisors (see below), whose sum is σ = 235593705984. Its totient is φ = 62074425600.

The previous prime is 130031332391. The next prime is 130031332447. The reversal of 130031332431 is 134233130031.

It is a happy number.

It is not a de Polignac number, because 130031332431 - 213 = 130031324239 is a prime.

It is a super-2 number, since 2×1300313324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031332481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7489821 + ... + 7507161.

It is an arithmetic number, because the mean of its divisors is an integer number (2454101104).

Almost surely, 2130031332431 is an apocalyptic number.

130031332431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130031332431 is a deficient number, since it is larger than the sum of its proper divisors (105562373553).

130031332431 is a wasteful number, since it uses less digits than its factorization.

130031332431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17613 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130031332431 its reverse (134233130031), we get a palindrome (264264462462).

The spelling of 130031332431 in words is "one hundred thirty billion, thirty-one million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 227 231 273 363 429 681 847 1001 1573 1589 2497 2541 2951 3003 4719 4767 7491 8853 11011 17341 17479 20657 27467 32461 33033 52023 52437 61971 82401 97383 121387 190751 192269 225433 227227 357071 364161 572253 576807 676299 681681 1071213 1335257 1578031 2098261 2479763 2499497 3936407 4005771 4734093 6294783 7439289 7498491 11809221 14687827 17358341 27277393 27554849 43300477 44063481 51173291 52075023 81832179 82664547 129901431 153519873 190941751 303103339 358213037 476305247 562906201 572825253 909310017 1074639111 1428915741 1688718603 3334136729 3940343407 6191968211 10002410187 11821030221 18575904633 43343777477 130031332431