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210022112201120 = 2556121518659037
BaseRepresentation
bin101111110000001110010101…
…011001001000100110100000
31000112121220210002212111212122
4233300032111121020212200
5210012000241210413440
62022402454255443412
762144411504410562
oct5760162531104640
91015556702774778
10210022112201120
1160a1297208834a
121b67b838526568
13902600059257b
1439c11a577d332
1519432553c57b5
hexbf03956489a0

210022112201120 has 48 divisors (see below), whose sum is σ = 504311293214568. Its totient is φ = 82631650698240.

The previous prime is 210022112201021. The next prime is 210022112201137. The reversal of 210022112201120 is 21102211220012.

It can be written as a sum of positive squares in 4 ways, for example, as 61894031660176 + 148128080540944 = 7867276^2 + 12170788^2 .

It is a super-2 number, since 2×2100221122011202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10759319759 + ... + 10759339278.

Almost surely, 2210022112201120 is an apocalyptic number.

210022112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022112201120 is an abundant number, since it is smaller than the sum of its proper divisors (294289181013448).

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

210022112201120 is a wasteful number, since it uses less digits than its factorization.

210022112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21518659113 (or 21518659105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210022112201120 its reverse (21102211220012), we get a palindrome (231124323421132).

The spelling of 210022112201120 in words is "two hundred ten trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 21518659037 43037318074 86074636148 107593295185 172149272296 215186590370 344298544592 430373180740 688597089184 860746361480 1312638201257 1721492722960 2625276402514 3442985445920 5250552805028 6563191006285 10501105610056 13126382012570 21002211220112 26252764025140 42004422440224 52505528050280 105011056100560 210022112201120