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20212102100 = 2252414929781
BaseRepresentation
bin10010110100101111…
…000011001111010100
31221011121122011122002
4102310233003033110
5312343244231400
613141343254432
71313606014241
oct226457031724
957147564562
1020212102100
118632228513
123b00baa418
131ba160b538
14d9a5385c8
157d46b5ed5
hex4b4bc33d4

20212102100 has 36 divisors (see below), whose sum is σ = 44930033148. Its totient is φ = 7887648000.

The previous prime is 20212102063. The next prime is 20212102153. The reversal of 20212102100 is 120121202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10228895044 + 9983207056 = 101138^2 + 99916^2 .

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, 2460791 + ... + 2468990.

Almost surely, 220212102100 is an apocalyptic number.

20212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212102100 is an abundant number, since it is smaller than the sum of its proper divisors (24717931048).

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

20212102100 is a wasteful number, since it uses less digits than its factorization.

20212102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929836 (or 4929829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212102100 its reverse (120121202), we get a palindrome (20332223302).

The spelling of 20212102100 in words is "twenty billion, two hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4929781 9859562 19719124 24648905 49297810 98595620 123244525 202121021 246489050 404242042 492978100 808484084 1010605105 2021210210 4042420420 5053025525 10106051050 20212102100