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10221109972 = 2229229384773
BaseRepresentation
bin10011000010011100…
…11100001011010100
3222101022211011222121
421201032130023110
5131413101004342
64410121505324
7511201000303
oct114116341324
928338734877
1010221109972
114375606227
121b93042244
13c6b756188
146cd67c43a
153ec4d7067
hex26139c2d4

10221109972 has 24 divisors (see below), whose sum is σ = 18584584200. Its totient is φ = 4912768896.

The previous prime is 10221109853. The next prime is 10221109973. The reversal of 10221109972 is 27990112201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4850565316 + 5370544656 = 69646^2 + 73284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221109973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165823 + ... + 218950.

It is an arithmetic number, because the mean of its divisors is an integer number (774357675).

Almost surely, 210221109972 is an apocalyptic number.

It is an amenable number.

10221109972 is a deficient number, since it is larger than the sum of its proper divisors (8363474228).

10221109972 is a wasteful number, since it uses less digits than its factorization.

10221109972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385035 (or 385033 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 10221109972 in words is "ten billion, two hundred twenty-one million, one hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 29 58 116 229 458 916 6641 13282 26564 384773 769546 1539092 11158417 22316834 44633668 88113017 176226034 352452068 2555277493 5110554986 10221109972