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210120020100 = 223252233466689
BaseRepresentation
bin1100001110110000100…
…0010001000010000100
3202002100121212222020200
43003230020101002010
511420311211120400
6240310001130500
721115653462534
oct3035410210204
9662317788220
10210120020100
1181125301081
1234880929a30
1316a77b3c753
14a2541674c4
1556ebb3db00
hex30ec211084

210120020100 has 54 divisors (see below), whose sum is σ = 658609532490. Its totient is φ = 56032005120.

The previous prime is 210120020087. The next prime is 210120020141. The reversal of 210120020100 is 1020021012.

It can be written as a sum of positive squares in 3 ways, for example, as 16437291264 + 193682728836 = 128208^2 + 440094^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116732445 + ... + 116734244.

Almost surely, 2210120020100 is an apocalyptic number.

210120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120020100 is an abundant number, since it is smaller than the sum of its proper divisors (448489512390).

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

210120020100 is a wasteful number, since it uses less digits than its factorization.

210120020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233466709 (or 233466699 counting only the distinct ones).

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

Adding to 210120020100 its reverse (1020021012), we get a palindrome (211140041112).

The spelling of 210120020100 in words is "two hundred ten billion, one hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 233466689 466933378 700400067 933866756 1167333445 1400800134 2101200201 2334666890 2801600268 3502000335 4202400402 4669333780 5836667225 7004000670 8404800804 10506001005 11673334450 14008001340 17510001675 21012002010 23346668900 35020003350 42024004020 52530005025 70040006700 105060010050 210120020100