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130011212320011 = 321125311319934191
BaseRepresentation
bin11101100011111010011000…
…001000001000110100001011
3122001022221122220222011022100
4131203322120020020310023
5114020100430323220021
61140302154300524443
736246000016643211
oct3543723010106413
9561287586864270
10130011212320011
1138475499a73200
12126b9063b50723
13577100a48b679
14241680d33acb1
151006d53ac7626
hex763e98208d0b

130011212320011 has 72 divisors (see below), whose sum is σ = 212174037811008. Its totient is φ = 76623836889600.

The previous prime is 130011212319953. The next prime is 130011212320013. The reversal of 130011212320011 is 110023212110031.

130011212320011 is a `hidden beast` number, since 1 + 300 + 1 + 121 + 232 + 0 + 0 + 11 = 666.

It is a de Polignac number, because none of the positive numbers 2k-130011212320011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130011212320013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3445075 + ... + 16489116.

It is an arithmetic number, because the mean of its divisors is an integer number (2946861636264).

Almost surely, 2130011212320011 is an apocalyptic number.

130011212320011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130011212320011 is a deficient number, since it is larger than the sum of its proper divisors (82162825490997).

130011212320011 is a wasteful number, since it uses less digits than its factorization.

130011212320011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19934385 (or 19934371 counting only the distinct ones).

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

Adding to 130011212320011 its reverse (110023212110031), we get a palindrome (240034424430042).

The spelling of 130011212320011 in words is "one hundred thirty trillion, eleven billion, two hundred twelve million, three hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 53 99 113 121 159 339 363 477 583 1017 1089 1243 1749 3729 5247 5989 6413 11187 13673 17967 19239 41019 53901 57717 65879 123057 197637 592911 724669 2174007 6522021 19934191 59802573 179407719 219276101 657828303 1056512123 1973484909 2252563583 2412037111 3169536369 6757690749 7236111333 9508609107 11621633353 20273072247 21708333999 24778199413 34864900059 74334598239 104594700177 119385869899 127837966883 223003794717 272560193543 358157609697 383513900649 817680580629 1074472829091 1150541701947 1313244568889 2453041741887 3939733706667 11819201120001 14445690257779 43337070773337 130011212320011