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1130120122131 = 3271113177379027
BaseRepresentation
bin10000011100100000011…
…010001000111100010011
311000001001000101111200200
4100130200122020330103
5122003441222402011
62223100420150243
7144435300353460
oct20344032107423
94001030344620
101130120122131
113a631038a610
12163036b38383
138275400aa50
143c9ab860667
151e5e4e06856
hex10720688f13

1130120122131 has 96 divisors (see below), whose sum is σ = 2320674789888. Its totient is φ = 510038277120.

The previous prime is 1130120122127. The next prime is 1130120122139. The reversal of 1130120122131 is 1312210210311.

1130120122131 is a `hidden beast` number, since 11 + 301 + 201 + 22 + 131 = 666.

It is not a de Polignac number, because 1130120122131 - 22 = 1130120122127 is a prime.

It is a super-2 number, since 2×11301201221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130120122139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536361 + ... + 3842666.

It is an arithmetic number, because the mean of its divisors is an integer number (24173695728).

Almost surely, 21130120122131 is an apocalyptic number.

1130120122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130120122131 is an abundant number, since it is smaller than the sum of its proper divisors (1190554667757).

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

1130120122131 is a wasteful number, since it uses less digits than its factorization.

1130120122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379081 (or 7379078 counting only the distinct ones).

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

Adding to 1130120122131 its reverse (1312210210311), we get a palindrome (2442330332442).

The spelling of 1130120122131 in words is "one trillion, one hundred thirty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 17 21 33 39 51 63 77 91 99 117 119 143 153 187 221 231 273 357 429 561 663 693 819 1001 1071 1287 1309 1547 1683 1989 2431 3003 3927 4641 7293 9009 11781 13923 17017 21879 51051 153153 7379027 22137081 51653189 66411243 81169297 95927351 125443459 154959567 243507891 287782053 376330377 464878701 568185079 671491457 730523673 863346159 878104213 1055200861 1128991131 1379878049 1630764967 1704555237 2014474371 2634312639 3165602583 4139634147 4892294901 5113665711 6043423113 7386406027 7902937917 9496807749 9659146343 11415354769 12418902441 14676884703 17938414637 22159218081 28977439029 34246064307 53815243911 66477654243 86932317087 102738192921 125568902459 161445731733 376706707377 1130120122131