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131212444334130 = 232513988491185287
BaseRepresentation
bin11101110101011001000111…
…001000100111100000110010
3122012120210020211221001221100
4131311121013020213200302
5114144241041222143010
61143022055331505230
736431533455412155
oct3565310710474062
9565523224831840
10131212444334130
1138898981141785
1212871a26158216
13582a3850994c3
142458a05329c9c
15102820ba242c0
hex775647227832

131212444334130 has 96 divisors (see below), whose sum is σ = 343645808688000. Its totient is φ = 34734303668736.

The previous prime is 131212444334129. The next prime is 131212444334141. The reversal of 131212444334130 is 31433444212131.

131212444334130 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 244 + 43 + 341 + 30 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110108347 + ... + 111293633.

It is an arithmetic number, because the mean of its divisors is an integer number (3579643840500).

Almost surely, 2131212444334130 is an apocalyptic number.

131212444334130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212444334130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171822904344000).

131212444334130 is an abundant number, since it is smaller than the sum of its proper divisors (212433364353870).

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

131212444334130 is a wasteful number, since it uses less digits than its factorization.

131212444334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194288 (or 1194285 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131212444334130 its reverse (31433444212131), we get a palindrome (162645888546261).

The spelling of 131212444334130 in words is "one hundred thirty-one trillion, two hundred twelve billion, four hundred forty-four million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 8849 12510 17698 26547 44245 53094 79641 88490 132735 159282 265470 398205 796410 1185287 1230011 2370574 2460022 3555861 3690033 5926435 6150055 7111722 7380066 10667583 11070099 11852870 12300110 17779305 18450165 21335166 22140198 35558610 36900330 53337915 55350495 106675830 110700990 164754893 329509786 494264679 823774465 988529358 1482794037 1647548930 2471323395 2965588074 4942646790 7413970185 10488604663 14827940370 20977209326 31465813989 52443023315 62931627978 94397441967 104886046630 157329069945 188794883934 314658139890 471987209835 943974419670 1457916048157 2915832096314 4373748144471 7289580240785 8747496288942 13121244433413 14579160481570 21868740722355 26242488866826 43737481444710 65606222167065 131212444334130