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20130011323101 = 32313591201167341
BaseRepresentation
bin1001001001110111000100…
…01011001001101011011101
32122021102002002201000122200
410210323202023021223131
510114302230344314401
6110451333300002113
74145226306026121
oct444734213115335
978242062630580
1020130011323101
1164610a96703a9
1223113b8090339
13b30337621414
144d8425033581
1524d963bd4686
hex124ee22c9add

20130011323101 has 48 divisors (see below), whose sum is σ = 30123487779840. Its totient is φ = 12940067520000.

The previous prime is 20130011323043. The next prime is 20130011323139. The reversal of 20130011323101 is 10132311003102.

20130011323101 is a `hidden beast` number, since 20 + 1 + 300 + 1 + 1 + 32 + 310 + 1 = 666.

It is not a de Polignac number, because 20130011323101 - 27 = 20130011322973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130091323101) by changing a digit.

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, 120209691 + ... + 120377031.

It is an arithmetic number, because the mean of its divisors is an integer number (627572662080).

Almost surely, 220130011323101 is an apocalyptic number.

It is an amenable number.

20130011323101 is a deficient number, since it is larger than the sum of its proper divisors (9993476456739).

20130011323101 is a wasteful number, since it uses less digits than its factorization.

20130011323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168938 (or 168935 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20130011323101 its reverse (10132311003102), we get a palindrome (30262322326203).

The spelling of 20130011323101 in words is "twenty trillion, one hundred thirty billion, eleven million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 31 93 279 359 1077 1201 3231 3603 10809 11129 33387 37231 100161 111693 167341 335079 431159 502023 1293477 1506069 3880431 5187571 13365929 15562713 40097787 46688139 60075419 120293361 180226257 200976541 540678771 602929623 1808788869 1862337989 5587013967 6230272771 16761041901 18690818313 56072454939 72150578219 216451734657 649355203971 2236667924789 6710003774367 20130011323101