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102222320103220 = 225231034315005799
BaseRepresentation
bin10111001111100001111101…
…000100111110111100110100
3111101221100200020122210021211
4113033201331010332330310
5101344302302421300340
61001224141403051204
730350214246301462
oct2717417504767464
9441840606583254
10102222320103220
112a63127384a059
12b56b454210b04
1345066a5c67645
141b3582dc4b832
15bc40854d05ea
hex5cf87d13ef34

102222320103220 has 96 divisors (see below), whose sum is σ = 226699787059200. Its totient is φ = 38641556849280.

The previous prime is 102222320103203. The next prime is 102222320103221. The reversal of 102222320103220 is 22301023222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222320103191 and 102222320103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222320103221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17917881 + ... + 22923679.

It is an arithmetic number, because the mean of its divisors is an integer number (2361456115200).

Almost surely, 2102222320103220 is an apocalyptic number.

102222320103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222320103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113349893529600).

102222320103220 is an abundant number, since it is smaller than the sum of its proper divisors (124477466955980).

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

102222320103220 is a wasteful number, since it uses less digits than its factorization.

102222320103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006365 (or 5006363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102222320103220 its reverse (22301023222201), we get a palindrome (124523343325421).

The spelling of 102222320103220 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred twenty million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 431 460 515 862 1030 1724 2060 2155 2369 4310 4738 8620 9476 9913 11845 19826 23690 39652 44393 47380 49565 88786 99130 177572 198260 221965 443930 887860 1021039 2042078 4084156 5005799 5105195 10011598 10210390 20023196 20420780 25028995 50057990 100115980 115133377 230266754 460533508 515597297 575666885 1031194594 1151333770 2062389188 2157499369 2302667540 2577986485 4314998738 5155972970 8629997476 10311945940 10787496845 11858737831 21574993690 23717475662 43149987380 47434951324 49622485487 59293689155 99244970974 118587378310 198489941948 222222435007 237174756620 248112427435 444444870014 496224854870 888889740028 992449709740 1111112175035 2222224350070 4444448700140 5111116005161 10222232010322 20444464020644 25555580025805 51111160051610 102222320103220