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10210020972 = 223850835081
BaseRepresentation
bin10011000001001000…
…01000111001101100
3222100112221210201220
421200210020321230
5131402231132342
64405044103340
7511004513664
oct114044107154
928315853656
1010210020972
11436a321968
121b8b394b50
13c69372a38
146cbdd31a4
153eb5465ec
hex260908e6c

10210020972 has 12 divisors (see below), whose sum is σ = 23823382296. Its totient is φ = 3403340320.

The previous prime is 10210020971. The next prime is 10210020979. The reversal of 10210020972 is 27902001201.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (10210020971) 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, 425417529 + ... + 425417552.

It is an arithmetic number, because the mean of its divisors is an integer number (1985281858).

Almost surely, 210210020972 is an apocalyptic number.

10210020972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210020972 is an abundant number, since it is smaller than the sum of its proper divisors (13613361324).

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

10210020972 is a wasteful number, since it uses less digits than its factorization.

10210020972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850835088 (or 850835086 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10210020972 in words is "ten billion, two hundred ten million, twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 850835081 1701670162 2552505243 3403340324 5105010486 10210020972