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202100020 = 22583211577
BaseRepresentation
bin11000000101111…
…00110100110100
3112002021202002221
430002330310310
5403214200040
632015412124
75002551613
oct1402746464
9462252087
10202100020
11a4097811
1257824044
1332b41115
141cbab87a
1512b2174a
hexc0bcd34

202100020 has 48 divisors (see below), whose sum is σ = 432307008. Its totient is φ = 79349760.

The previous prime is 202099993. The next prime is 202100033. The reversal of 202100020 is 20001202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202099976 and 202100012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 349972 + ... + 350548.

It is an arithmetic number, because the mean of its divisors is an integer number (9006396).

Almost surely, 2202100020 is an apocalyptic number.

202100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100020 is an abundant number, since it is smaller than the sum of its proper divisors (230206988).

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

202100020 is a wasteful number, since it uses less digits than its factorization.

202100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

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

The square root of 202100020 is about 14216.1886594122. The cubic root of 202100020 is about 586.8432570728.

Adding to 202100020 its reverse (20001202), we get a palindrome (222101222).

The spelling of 202100020 in words is "two hundred two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 211 332 415 422 577 830 844 1055 1154 1660 2110 2308 2885 4220 5770 11540 17513 35026 47891 70052 87565 95782 121747 175130 191564 239455 243494 350260 478910 486988 608735 957820 1217470 2434940 10105001 20210002 40420004 50525005 101050010 202100020