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131012184823408 = 2475324778910289
BaseRepresentation
bin11101110010011110100110…
…101111001101011001110000
3122011212122100102022212122201
4131302132212233031121300
5114133000423303322113
61142350100011312544
736411214033562140
oct3562364657153160
9564778312285581
10131012184823408
1138820a56941309
121283b05774b754
13581451c0879b5
14244d0489b4920
151022dda8dccdd
hex7727a6bcd670

131012184823408 has 80 divisors (see below), whose sum is σ = 295691323919040. Its totient is φ = 55066435227648.

The previous prime is 131012184823391. The next prime is 131012184823427. The reversal of 131012184823408 is 804328481210131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10248328 + ... + 19158616.

It is an arithmetic number, because the mean of its divisors is an integer number (3696141548988).

Almost surely, 2131012184823408 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 131012184823408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147845661959520).

131012184823408 is an abundant number, since it is smaller than the sum of its proper divisors (164679139095632).

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

131012184823408 is a wasteful number, since it uses less digits than its factorization.

131012184823408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912834 (or 8912828 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 131012184823408 in words is "one hundred thirty-one trillion, twelve billion, one hundred eighty-four million, eight hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2477 2968 4954 5936 9908 17339 19816 34678 39632 69356 131281 138712 262562 277424 525124 918967 1050248 1837934 2100496 3675868 7351736 8910289 14703472 17820578 35641156 62372023 71282312 124744046 142564624 249488092 472245317 498976184 944490634 997952368 1888981268 3305717219 3777962536 6611434438 7555925072 13222868876 22070785853 26445737752 44141571706 52891475504 88283143412 154495500971 176566286824 308991001942 353132573648 617982003884 1169751650209 1235964007768 2339503300418 2471928015536 4679006600836 8188261551463 9358013201672 16376523102926 18716026403344 32753046205852 65506092411704 131012184823408