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332313112131 = 37111337280833
BaseRepresentation
bin1001101010111110110…
…01111010111001000011
31011202202110202012102220
410311133121322321003
520421034124042011
6412355035142123
733003012563340
oct4653731727103
91152673665386
10332313112131
11118a2a0a7750
12544a2ba4943
132544c4aa0c0
141212686d7c7
15899e3e9506
hex4d5f67ae43

332313112131 has 96 divisors (see below), whose sum is σ = 611430962688. Its totient is φ = 155042242560.

The previous prime is 332313112127. The next prime is 332313112139. The reversal of 332313112131 is 131211313233.

It is not a de Polignac number, because 332313112131 - 22 = 332313112127 is a prime.

It is a super-2 number, since 2×3323131121312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332313112139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4070691 + ... + 4151523.

It is an arithmetic number, because the mean of its divisors is an integer number (6369072528).

Almost surely, 2332313112131 is an apocalyptic number.

332313112131 is a deficient number, since it is larger than the sum of its proper divisors (279117850557).

332313112131 is a wasteful number, since it uses less digits than its factorization.

332313112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80941 (or 80904 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 332313112131 its reverse (131211313233), we get a palindrome (463524425364).

It can be divided in two parts, 332313 and 112131, that added together give a palindrome (444444).

The spelling of 332313112131 in words is "three hundred thirty-two billion, three hundred thirteen million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1369 1443 2849 3003 3367 4107 5291 8547 9583 10101 15059 15873 17797 28749 37037 45177 53391 80833 105413 111111 124579 195767 242499 316239 373737 565831 587301 889163 1050829 1370369 1697493 2667489 2990821 3152487 4111107 6224141 7355803 8972463 11559119 18672423 20935747 22067409 32899031 34677357 38880673 62807241 80913833 98697093 110660377 116642019 230293217 242741499 272164711 331981131 427687403 690879651 774622639 816494133 1217264147 1283062209 1438584901 2323867917 2993811821 3651792441 4315754703 8520849029 8981435463 10070094307 15824433911 25562547087 30210282921 47473301733 110771037377 332313112131