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12311300243032 = 237367107625837
BaseRepresentation
bin1011001100100111001010…
…1011010111111001011000
31121120221121200101221210021
42303021302223113321120
53103202020330234112
642103422214400224
72410314332302000
oct263116253277130
947527550357707
1012311300243032
113a17214039a2a
12146a019660074
136b3c486ca41b
14307c27829000
151653a26c9907
hexb3272ad7e58

12311300243032 has 128 divisors (see below), whose sum is σ = 27576925632000. Its totient is φ = 5148938019456.

The previous prime is 12311300243009. The next prime is 12311300243051. The reversal of 12311300243032 is 23034200311321.

It is a super-2 number, since 2×123113002430322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12311300242988 and 12311300243006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19358818 + ... + 19984654.

It is an arithmetic number, because the mean of its divisors is an integer number (215444731500).

Almost surely, 212311300243032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311300243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788462816000).

12311300243032 is an abundant number, since it is smaller than the sum of its proper divisors (15265625388968).

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

12311300243032 is a wasteful number, since it uses less digits than its factorization.

12311300243032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626038 (or 626020 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12311300243032 its reverse (23034200311321), we get a palindrome (35345500554353).

The spelling of 12311300243032 in words is "twelve trillion, three hundred eleven billion, three hundred million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 107 134 196 214 268 343 392 428 469 536 686 749 856 938 1372 1498 1876 2744 2996 3283 3752 5243 5992 6566 7169 10486 13132 14338 20972 22981 26264 28676 36701 41944 45962 50183 57352 73402 91924 100366 146804 183848 200732 293608 351281 401464 625837 702562 1251674 1405124 2458967 2503348 2810248 4380859 4917934 5006696 8761718 9835868 17523436 19671736 30666013 35046872 41931079 61332026 66964559 83862158 122664052 133929118 167724316 214662091 245328104 267858236 293517553 335448632 429324182 468751913 535716472 587035106 858648364 937503826 1174070212 1717296728 1875007652 2054622871 2348140424 3281263391 3750015304 4109245742 4486625453 6562526782 8218491484 8973250906 13125053564 14382360097 16436982968 17946501812 22968843737 26250107128 28764720194 31406378171 35893003624 45937687474 57529440388 62812756342 91875374948 115058880776 125625512684 183750749896 219844647197 251251025368 439689294394 879378588788 1538912530379 1758757177576 3077825060758 6155650121516 12311300243032