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10131114300999 = 337259335199113
BaseRepresentation
bin1001001101101101010101…
…1110000001011001000111
31022212112011202220212001120
42103123111132001121013
52311442010230112444
633314100351325023
72063643312456516
oct223332536013107
938775152825046
1010131114300999
1132566439a5a6a
121177589820773
1358648ab4a153
142704c45ba67d
15128800a14b19
hex936d5781647

10131114300999 has 16 divisors (see below), whose sum is σ = 13878588260832. Its totient is φ = 6568999077888.

The previous prime is 10131114300947. The next prime is 10131114301019. The reversal of 10131114300999 is 99900341113101.

10131114300999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131114300999 - 27 = 10131114300871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131114300999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131114300899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17311734 + ... + 17887379.

It is an arithmetic number, because the mean of its divisors is an integer number (867411766302).

Almost surely, 210131114300999 is an apocalyptic number.

10131114300999 is a deficient number, since it is larger than the sum of its proper divisors (3747473959833).

10131114300999 is a wasteful number, since it uses less digits than its factorization.

10131114300999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35201746.

The product of its (nonzero) digits is 26244, while the sum is 42.

The spelling of 10131114300999 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, three hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 37 111 2593 7779 95941 287823 35199113 105597339 1302367181 3907101543 91271300009 273813900027 3377038100333 10131114300999