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131111331023010 = 23513800514199609
BaseRepresentation
bin11101110011111010111100…
…010011111100100010100010
3122012020010021002101122221110
4131303322330103330202202
5114141112001220214020
61142503414114404150
736421324002430512
oct3563727423744242
9565203232348843
10131111331023010
113885a00432a548
1212856307590656
13582098ca283b0
142453b724a3842
15102578ebc48e0
hex773ebc4fc8a2

131111331023010 has 64 divisors (see below), whose sum is σ = 338876677157760. Its totient is φ = 32273147558400.

The previous prime is 131111331022993. The next prime is 131111331023017. The reversal of 131111331023010 is 10320133111131.

131111331023010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1311113310230103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131111331023017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29120086 + ... + 33319694.

It is an arithmetic number, because the mean of its divisors is an integer number (5294948080590).

Almost surely, 2131111331023010 is an apocalyptic number.

131111331023010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131111331023010 is an abundant number, since it is smaller than the sum of its proper divisors (207765346134750).

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

131111331023010 is a wasteful number, since it uses less digits than its factorization.

131111331023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279683.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131111331023010 its reverse (10320133111131), we get a palindrome (141431464134141).

The spelling of 131111331023010 in words is "one hundred thirty-one trillion, one hundred eleven billion, three hundred thirty-one million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 80051 160102 240153 400255 480306 800510 1040663 1200765 2081326 2401530 3121989 4199609 5203315 6243978 8399218 10406630 12598827 15609945 20998045 25197654 31219890 41996090 54594917 62994135 109189834 125988270 163784751 272974585 327569502 545949170 818923755 1637847510 336182900059 672365800118 1008548700177 1680914500295 2017097400354 3361829000590 4370377700767 5042743500885 8740755401534 10085487001770 13111133102301 21851888503835 26222266204602 43703777007670 65555665511505 131111331023010