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2002100120200 = 235210010500601
BaseRepresentation
bin11101001000100110011…
…101110110101010001000
321002101202210121000021201
4131020212131312222020
5230300300112321300
64131430241513544
7264434623142335
oct35104635665210
97071683530251
102002100120200
117020a4361214
1228402b3428b4
13116a49694b4b
146cc8b76b98c
153712c56a66a
hex1d226776a88

2002100120200 has 24 divisors (see below), whose sum is σ = 4654882779930. Its totient is φ = 800840048000.

The previous prime is 2002100120197. The next prime is 2002100120213. The reversal of 2002100120200 is 20210012002.

It can be written as a sum of positive squares in 3 ways, for example, as 872815588516 + 1129284531684 = 934246^2 + 1062678^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 5005250101 + ... + 5005250500.

Almost surely, 22002100120200 is an apocalyptic number.

2002100120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100120200 is an abundant number, since it is smaller than the sum of its proper divisors (2652782659730).

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

2002100120200 is a wasteful number, since it uses less digits than its factorization.

2002100120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010500617 (or 10010500608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002100120200 its reverse (20210012002), we get a palindrome (2022310132202).

The spelling of 2002100120200 in words is "two trillion, two billion, one hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10010500601 20021001202 40042002404 50052503005 80084004808 100105006010 200210012020 250262515025 400420024040 500525030050 1001050060100 2002100120200