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202220010112 = 278361331051
BaseRepresentation
bin1011110001010101000…
…0000111101010000000
3201022222001121212212011
42330111100013222000
511303121310310422
6232522032342304
720416125503461
oct2742520075200
9638861555764
10202220010112
1178840a186aa
12332370a4994
13160b9238723
149b04c8ad68
1553d82e5077
hex2f15407a80

202220010112 has 64 divisors (see below), whose sum is σ = 408392177760. Its totient is φ = 99725644800.

The previous prime is 202220010101. The next prime is 202220010127. The reversal of 202220010112 is 211010022202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 202220010092 and 202220010101.

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, 6496987 + ... + 6528037.

Almost surely, 2202220010112 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 202220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204196088880).

202220010112 is an abundant number, since it is smaller than the sum of its proper divisors (206172167648).

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

202220010112 is an equidigital number, since it uses as much as digits as its factorization.

202220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31761 (or 31749 counting only the distinct ones).

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

Adding to 202220010112 its reverse (211010022202), we get a palindrome (413230032314).

The spelling of 202220010112 in words is "two hundred two billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 613 664 1226 1328 2452 2656 4904 5312 9808 10624 19616 31051 39232 50879 62102 78464 101758 124204 203516 248408 407032 496816 814064 993632 1628128 1987264 2577233 3256256 3974528 5154466 6512512 10308932 19034263 20617864 38068526 41235728 76137052 82471456 152274104 164942912 304548208 329885824 609096416 1218192832 1579843829 2436385664 3159687658 6319375316 12638750632 25277501264 50555002528 101110005056 202220010112