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101022002222022 = 23274631731667219
BaseRepresentation
bin10110111110000100000100…
…100011101001001111000110
3111020200121110000210122021200
4112332010010203221033012
5101220121030032101042
6554504511145123330
730164412250533210
oct2676040443511706
9436617400718250
10101022002222022
112a209210686132
12b3b68a8189546
13444a445860c6b
141ad36c34175b0
15ba2c32952c4c
hex5be1048e93c6

101022002222022 has 48 divisors (see below), whose sum is σ = 250690000104960. Its totient is φ = 28801089169776.

The previous prime is 101022002222003. The next prime is 101022002222027. The reversal of 101022002222022 is 220222200220101.

101022002222022 is a `hidden beast` number, since 10 + 10 + 220 + 0 + 222 + 202 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101022002221986 and 101022002222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022002222027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865775272 + ... + 865891947.

It is an arithmetic number, because the mean of its divisors is an integer number (5222708335520).

Almost surely, 2101022002222022 is an apocalyptic number.

101022002222022 is an abundant number, since it is smaller than the sum of its proper divisors (149667997882938).

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

101022002222022 is a wasteful number, since it uses less digits than its factorization.

101022002222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731667697 (or 1731667694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101022002222022 its reverse (220222200220101), we get a palindrome (321244202442123).

The spelling of 101022002222022 in words is "one hundred one trillion, twenty-two billion, two million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 463 926 1389 2778 3241 4167 6482 8334 9723 19446 29169 58338 1731667219 3463334438 5195001657 10390003314 12121670533 15585004971 24243341066 31170009942 36365011599 72730023198 109095034797 218190069594 801761922397 1603523844794 2405285767191 4810571534382 5612333456779 7215857301573 11224666913558 14431714603146 16837000370337 33674000740674 50511001111011 101022002222022