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2021010100 = 225220210101
BaseRepresentation
bin111100001110110…
…0010101010110100
312012211212221122221
41320131202222310
513114334310400
6532313132124
7101040205504
oct17035425264
95184787587
102021010100
1194789788a
124849ba044
13262922485
141525a7a04
15bc662c1a
hex78762ab4

2021010100 has 18 divisors (see below), whose sum is σ = 4385592134. Its totient is φ = 808404000.

The previous prime is 2021010091. The next prime is 2021010109. The reversal of 2021010100 is 10101202.

It is an interprime number because it is at equal distance from previous prime (2021010091) and next prime (2021010109).

It can be written as a sum of positive squares in 3 ways, for example, as 109746576 + 1911263524 = 10476^2 + 43718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021010109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10104951 + ... + 10105150.

Almost surely, 22021010100 is an apocalyptic number.

2021010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021010100 is an abundant number, since it is smaller than the sum of its proper divisors (2364582034).

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

2021010100 is a wasteful number, since it uses less digits than its factorization.

2021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210115 (or 20210108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2021010100 is about 44955.6459190612. The cubic root of 2021010100 is about 1264.3175350893.

Adding to 2021010100 its reverse (10101202), we get a palindrome (2031111302).

The spelling of 2021010100 in words is "two billion, twenty-one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20210101 40420202 80840404 101050505 202101010 404202020 505252525 1010505050 2021010100