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102202111220020 = 22573179298087007
BaseRepresentation
bin10111001111001111001000…
…100010001101100100110100
3111101212102111212002011011021
4113033033020202031210310
5101343434410433020040
61001211000212350524
730345600406521610
oct2717171042154464
9441772455064137
10102202111220020
112a62374341aa99
12b567554315444
1345048052152a6
141b34873d10340
15bc37a125324a
hex5cf3c888d934

102202111220020 has 96 divisors (see below), whose sum is σ = 256402520801280. Its totient is φ = 33481132513920.

The previous prime is 102202111220003. The next prime is 102202111220071. The reversal of 102202111220020 is 20022111202201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102202111219976 and 102202111220003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148700644 + ... + 149386363.

It is an arithmetic number, because the mean of its divisors is an integer number (2670859591680).

Almost surely, 2102202111220020 is an apocalyptic number.

102202111220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202111220020 is an abundant number, since it is smaller than the sum of its proper divisors (154200409581260).

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

102202111220020 is a wasteful number, since it uses less digits than its factorization.

102202111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298087133 (or 298087131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202111220020 its reverse (20022111202201), we get a palindrome (122224222422221).

The spelling of 102202111220020 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 79 124 140 155 158 217 310 316 395 434 553 620 790 868 1085 1106 1580 2170 2212 2449 2765 4340 4898 5530 9796 11060 12245 17143 24490 34286 48980 68572 85715 171430 342860 298087007 596174014 1192348028 1490435035 2086609049 2980870070 4173218098 5961740140 8346436196 9240697217 10433045245 18481394434 20866090490 23548873553 36962788868 41732180980 46203486085 47097747106 64684880519 92406972170 94195494212 117744367765 129369761038 164842114871 184813944340 235488735530 258739522076 323424402595 329684229742 470977471060 646848805190 659368459484 730015080143 824210574355 1293697610380 1460030160286 1648421148710 2920060320572 3296842297420 3650075400715 5110105561001 7300150801430 10220211122002 14600301602860 20440422244004 25550527805005 51101055610010 102202111220020