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10130113003131 = 3211311883372613
BaseRepresentation
bin1001001101101001100111…
…0010010111111001111011
31022212102120222210122121100
42103122121302113321323
52311432432412100011
633313413142142443
72063606433541662
oct223323162277173
938772528718540
1010130113003131
11325617a776070
12117734a421a23
1358635b5772c4
1427042b611dd9
15128792b78d56
hex93699c97e7b

10130113003131 has 48 divisors (see below), whose sum is σ = 16032107849472. Its totient is φ = 6112774382400.

The previous prime is 10130113003097. The next prime is 10130113003201. The reversal of 10130113003131 is 13130031103101.

10130113003131 is a `hidden beast` number, since 1 + 0 + 1 + 301 + 1 + 300 + 31 + 31 = 666.

It is not a de Polignac number, because 10130113003131 - 217 = 10130112872059 is a prime.

It is a super-2 number, since 2×101301130031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10130113002131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27000381 + ... + 27372993.

It is an arithmetic number, because the mean of its divisors is an integer number (334002246864).

Almost surely, 210130113003131 is an apocalyptic number.

10130113003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10130113003131 is a deficient number, since it is larger than the sum of its proper divisors (5901994846341).

10130113003131 is a wasteful number, since it uses less digits than its factorization.

10130113003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373824 (or 373821 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10130113003131 its reverse (13130031103101), we get a palindrome (23260144106232).

The spelling of 10130113003131 in words is "ten trillion, one hundred thirty billion, one hundred thirteen million, three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 311 883 933 2649 2799 3421 7947 9713 10263 29139 30789 87417 274613 372613 823839 1117839 2471517 3020743 3353517 4098743 9062229 12296229 27186687 36888687 115882643 329017279 347647929 987051837 1042943787 1274709073 2961155511 3619190069 3824127219 10857570207 11472381657 32572710621 102324373769 306973121307 920919363921 1125568111459 3376704334377 10130113003131