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20100122320 = 245251251529
BaseRepresentation
bin10010101110000011…
…111000011011010000
31220212210221000020211
4102232003320123100
5312131112403240
613122303213504
71311046135465
oct225603703320
956783830224
1020100122320
118584aa4443
123a8b5a7294
131b84362005
14d8970966c
157c9946bea
hex4ae0f86d0

20100122320 has 20 divisors (see below), whose sum is σ = 46732784580. Its totient is φ = 8040048896.

The previous prime is 20100122297. The next prime is 20100122321. The reversal of 20100122320 is 2322100102.

It can be written as a sum of positive squares in 2 ways, for example, as 3799982736 + 16300139584 = 61644^2 + 127672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 20100122320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100122321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125625685 + ... + 125625844.

It is an arithmetic number, because the mean of its divisors is an integer number (2336639229).

Almost surely, 220100122320 is an apocalyptic number.

20100122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100122320 is an abundant number, since it is smaller than the sum of its proper divisors (26632662260).

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

20100122320 is a wasteful number, since it uses less digits than its factorization.

20100122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251251542 (or 251251536 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20100122320 its reverse (2322100102), we get a palindrome (22422222422).

The spelling of 20100122320 in words is "twenty billion, one hundred million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251251529 502503058 1005006116 1256257645 2010012232 2512515290 4020024464 5025030580 10050061160 20100122320