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131210300121210 = 2345700123137841
BaseRepresentation
bin11101110101010111000111…
…010101000110000001111010
3122012120120201102012202210000
4131311113013111012001322
5114144222143312334320
61143021102453533430
736431426361042432
oct3565270725060172
9565516642182700
10131210300121210
1138897a80855892
1212871528044276
13582a102a9b36b
1424588806512c2
151028133676c90
hex7755c754607a

131210300121210 has 80 divisors (see below), whose sum is σ = 352860327571752. Its totient is φ = 34984414080000.

The previous prime is 131210300121209. The next prime is 131210300121223. The reversal of 131210300121210 is 12121003012131.

131210300121210 is a `hidden beast` number, since 1 + 31 + 2 + 1 + 0 + 300 + 121 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120206291882769 + 11004008238441 = 10963863^2 + 3317229^2 .

It is a super-2 number, since 2×1312103001212102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5898111 + ... + 17239730.

Almost surely, 2131210300121210 is an apocalyptic number.

131210300121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131210300121210 is an abundant number, since it is smaller than the sum of its proper divisors (221650027450542).

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

131210300121210 is a wasteful number, since it uses less digits than its factorization.

131210300121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23144861 (or 23144852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131210300121210 its reverse (12121003012131), we get a palindrome (143331303133341).

The spelling of 131210300121210 in words is "one hundred thirty-one trillion, two hundred ten billion, three hundred million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 7001 14002 21003 35005 42006 63009 70010 105015 126018 189027 210030 315045 378054 567081 630090 945135 1134162 1890270 2835405 5670810 23137841 46275682 69413523 115689205 138827046 208240569 231378410 347067615 416481138 624721707 694135230 1041202845 1249443414 1874165121 2082405690 3123608535 3748330242 6247217070 9370825605 18741651210 161988024841 323976049682 485964074523 809940124205 971928149046 1457892223569 1619880248410 2429820372615 2915784447138 4373676670707 4859640745230 7289461117845 8747353341414 13121030012121 14578922235690 21868383353535 26242060024242 43736766707070 65605150060605 131210300121210