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2100210100 = 225221002101
BaseRepresentation
bin111110100101110…
…1010100110110100
312102100220201122021
41331023222212310
513300123210400
6544222442524
7103021330342
oct17513524664
95370821567
102100210100
11988571a2a
124a7433444
13276162691
1415cd02992
15c45a971a
hex7d2ea9b4

2100210100 has 18 divisors (see below), whose sum is σ = 4557456134. Its totient is φ = 840084000.

The previous prime is 2100210061. The next prime is 2100210143. The reversal of 2100210100 is 10120012.

It can be written as a sum of positive squares in 3 ways, for example, as 39413284 + 2060796816 = 6278^2 + 45396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10500951 + ... + 10501150.

Almost surely, 22100210100 is an apocalyptic number.

2100210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100210100 is an abundant number, since it is smaller than the sum of its proper divisors (2457246034).

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

2100210100 is a wasteful number, since it uses less digits than its factorization.

2100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21002115 (or 21002108 counting only the distinct ones).

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

The square root of 2100210100 is about 45828.0492711614. The cubic root of 2100210100 is about 1280.6218698622.

Adding to 2100210100 its reverse (10120012), we get a palindrome (2110330112).

The spelling of 2100210100 in words is "two billion, one hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21002101 42004202 84008404 105010505 210021010 420042020 525052525 1050105050 2100210100