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102222310113220 = 225113162692390909
BaseRepresentation
bin10111001111100001111100…
…011110110111111111000100
3111101221100122112212020120211
4113033201330132313333010
5101344302242342110340
61001224140405005204
730350214065343223
oct2717417436677704
9441840575766524
10102222310113220
112a631269146460
12b56b4509b3804
1345066a3b7a4bb
141b3582c7aacba
15bc40846aa5ea
hex5cf87c7b7fc4

102222310113220 has 96 divisors (see below), whose sum is σ = 241774939929600. Its totient is φ = 35966907225600.

The previous prime is 102222310113169. The next prime is 102222310113221. The reversal of 102222310113220 is 22311013222201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102222310113191 and 102222310113200.

It is not an unprimeable number, because it can be changed into a prime (102222310113221) 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, 41559126 + ... + 43950034.

It is an arithmetic number, because the mean of its divisors is an integer number (2518488957600).

Almost surely, 2102222310113220 is an apocalyptic number.

102222310113220 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 102222310113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120887469964800).

102222310113220 is an abundant number, since it is smaller than the sum of its proper divisors (139552629816380).

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

102222310113220 is a wasteful number, since it uses less digits than its factorization.

102222310113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397229 (or 2397227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102222310113220 its reverse (22311013222201), we get a palindrome (124533323335421).

The spelling of 102222310113220 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred ten million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6269 6820 12538 25076 31345 62690 68959 125380 137918 194339 275836 344795 388678 689590 777356 971695 1379180 1943390 2137729 2390909 3886780 4275458 4781818 8550916 9563636 10688645 11954545 21377290 23909090 26299999 42754580 47818180 52599998 74118179 105199996 131499995 148236358 262999990 296472716 370590895 525999980 741181790 815299969 1482363580 1630599938 3261199876 4076499845 8152999690 14988608521 16305999380 29977217042 59954434084 74943042605 149886085210 164874693731 299772170420 329749387462 464646864151 659498774924 824373468655 929293728302 1648746937310 1858587456604 2323234320755 3297493874620 4646468641510 5111115505661 9292937283020 10222231011322 20444462022644 25555577528305 51111155056610 102222310113220