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10020212022222 = 234101719851749
BaseRepresentation
bin1001000111010000001100…
…1011011001101111001110
31022110220220210201100220000
42101310003023121233032
52303132343234202342
633151115530505130
72052636123606633
oct221640313315716
938426823640800
1010020212022222
113213603507516
121159b988951a6
13578b9573959c
14268da364618a
151259ae5e044c
hex91d032d9bce

10020212022222 has 80 divisors (see below), whose sum is σ = 22706564760000. Its totient is φ = 3302397345600.

The previous prime is 10020212022221. The next prime is 10020212022341. The reversal of 10020212022222 is 22222021202001.

10020212022222 is a `hidden beast` number, since 100 + 202 + 120 + 22 + 222 = 666.

10020212022222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10020212022195 and 10020212022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020212022221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11338404 + ... + 12190152.

It is an arithmetic number, because the mean of its divisors is an integer number (283832059500).

Almost surely, 210020212022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353282380000).

10020212022222 is an abundant number, since it is smaller than the sum of its proper divisors (12686352737778).

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

10020212022222 is a wasteful number, since it uses less digits than its factorization.

10020212022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852583 (or 852574 counting only the distinct ones).

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

Adding to 10020212022222 its reverse (22222021202001), we get a palindrome (32242233224223).

The spelling of 10020212022222 in words is "ten trillion, twenty billion, two hundred twelve million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 719 909 1438 1818 2157 2727 4314 5454 6471 8181 12942 16362 19413 38826 58239 72619 116478 145238 217857 435714 653571 851749 1307142 1703498 1960713 2555247 3921426 5110494 5882139 7665741 11764278 15331482 22997223 45994446 68991669 86026649 137983338 172053298 258079947 516159894 612407531 774239841 1224815062 1548479682 1837222593 2322719523 3674445186 4645439046 5511667779 6968158569 11023335558 13936317138 16535003337 33070006674 49605010011 61853160631 99210020022 123706321262 185559481893 371118963786 556678445679 1113356891358 1670035337037 3340070674074 5010106011111 10020212022222