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22010202112 = 21110879887
BaseRepresentation
bin10100011111111010…
…010000100000000000
32002210221002010010211
4110133322100200000
5330034102431422
614040015003504
71406301426313
oct243772204000
962727063124
1022010202112
119375204688
124323209594
1320c9cb4842
1410cb27897a
1588c496577
hex51fe90800

22010202112 has 48 divisors (see below), whose sum is σ = 44054599680. Its totient is φ = 10993864704.

The previous prime is 22010202029. The next prime is 22010202113. The reversal of 22010202112 is 21120201022.

It is a happy number.

It is a super-2 number, since 2×220102021122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22010202092 and 22010202101.

It is not an unprimeable number, because it can be changed into a prime (22010202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2221233 + ... + 2231119.

It is an arithmetic number, because the mean of its divisors is an integer number (917804160).

Almost surely, 222010202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027299840).

22010202112 is an abundant number, since it is smaller than the sum of its proper divisors (22044397568).

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

22010202112 is an equidigital number, since it uses as much as digits as its factorization.

22010202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22010202112 its reverse (21120201022), we get a palindrome (43130403134).

The spelling of 22010202112 in words is "twenty-two billion, ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1087 2048 2174 4348 8696 9887 17392 19774 34784 39548 69568 79096 139136 158192 278272 316384 556544 632768 1113088 1265536 2226176 2531072 5062144 10124288 10747169 20248576 21494338 42988676 85977352 171954704 343909408 687818816 1375637632 2751275264 5502550528 11005101056 22010202112