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10022100219 = 331721834641
BaseRepresentation
bin10010101010101110…
…10001110011111011
3221212110100102221000
421111113101303323
5131011124201334
64334252220043
7503233306035
oct112527216373
927773312830
1010022100219
11428323a25a
121b3846a623
13c39457821
146b1076c55
153d9cc6299
hex2555d1cfb

10022100219 has 16 divisors (see below), whose sum is σ = 15720942240. Its totient is φ = 6288376320.

The previous prime is 10022100203. The next prime is 10022100223. The reversal of 10022100219 is 91200122001.

10022100219 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022100219 - 24 = 10022100203 is a prime.

It is a super-2 number, since 2×100221002192 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022500219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10916862 + ... + 10917779.

It is an arithmetic number, because the mean of its divisors is an integer number (982558890).

Almost surely, 210022100219 is an apocalyptic number.

10022100219 is a deficient number, since it is larger than the sum of its proper divisors (5698842021).

10022100219 is a wasteful number, since it uses less digits than its factorization.

10022100219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834667 (or 21834661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10022100219 in words is "ten billion, twenty-two million, one hundred thousand, two hundred nineteen".

Divisors: 1 3 9 17 27 51 153 459 21834641 65503923 196511769 371188897 589535307 1113566691 3340700073 10022100219