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20100112020 = 22325111667289
BaseRepresentation
bin10010101110000011…
…110101111010010100
31220212210220111010100
4102232003311322110
5312131112041040
613122303054100
71311046063452
oct225603657224
956783814110
1020100112020
118584a9772a
123a8b5a1330
131b8435a411
14d897059d2
157c9943b30
hex4ae0f5e94

20100112020 has 36 divisors (see below), whose sum is σ = 60970340340. Its totient is φ = 5360029824.

The previous prime is 20100112001. The next prime is 20100112033. The reversal of 20100112020 is 2021100102.

It can be written as a sum of positive squares in 2 ways, for example, as 7713757584 + 12386354436 = 87828^2 + 111294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100111993 and 20100112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55833465 + ... + 55833824.

It is an arithmetic number, because the mean of its divisors is an integer number (1693620565).

Almost surely, 220100112020 is an apocalyptic number.

20100112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100112020 is an abundant number, since it is smaller than the sum of its proper divisors (40870228320).

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

20100112020 is a wasteful number, since it uses less digits than its factorization.

20100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111667304 (or 111667299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100112020 its reverse (2021100102), we get a palindrome (22121212122).

The spelling of 20100112020 in words is "twenty billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 111667289 223334578 335001867 446669156 558336445 670003734 1005005601 1116672890 1340007468 1675009335 2010011202 2233345780 3350018670 4020022404 5025028005 6700037340 10050056010 20100112020