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202102000 = 2453101051
BaseRepresentation
bin11000000101111…
…01010011110000
3112002021211211021
430002331103300
5403214231000
632015425224
75002560442
oct1402752360
9462254737
10202102000
11a4099251
1257825214
1332b41ca9
141cbac492
1512b2211a
hexc0bd4f0

202102000 has 40 divisors (see below), whose sum is σ = 488687472. Its totient is φ = 80840000.

The previous prime is 202101979. The next prime is 202102003. The reversal of 202102000 is 201202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48526 + ... + 52525.

Almost surely, 2202102000 is an apocalyptic number.

202102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102000 is an abundant number, since it is smaller than the sum of its proper divisors (286585472).

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

202102000 is a wasteful number, since it uses less digits than its factorization.

202102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101074 (or 101058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 202102000 is about 14216.2582981599. The cubic root of 202102000 is about 586.8451735263.

Adding to 202102000 its reverse (201202), we get a palindrome (202303202).

The spelling of 202102000 in words is "two hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 101051 202102 404204 505255 808408 1010510 1616816 2021020 2526275 4042040 5052550 8084080 10105100 12631375 20210200 25262750 40420400 50525500 101051000 202102000