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202023442100 = 225210120002321
BaseRepresentation
bin1011110000100110001…
…0010001011010110100
3201022110100202012020102
42330021202101122310
511302221000121400
6232450331253232
720411220632054
oct2741142213264
9638410665212
10202023442100
117874aa6a1a7
12331a12aa218
13160875b35ac
149ac6b1d564
1553c5e179d5
hex2f098916b4

202023442100 has 36 divisors (see below), whose sum is σ = 442731395148. Its totient is φ = 80009280000.

The previous prime is 202023442097. The next prime is 202023442163. The reversal of 202023442100 is 1244320202.

It can be written as a sum of positive squares in 6 ways, for example, as 1181434384 + 200842007716 = 34372^2 + 448154^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9991061 + ... + 10011260.

Almost surely, 2202023442100 is an apocalyptic number.

202023442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202023442100 is an abundant number, since it is smaller than the sum of its proper divisors (240707953048).

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

202023442100 is a wasteful number, since it uses less digits than its factorization.

202023442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002436 (or 20002429 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 202023442100 its reverse (1244320202), we get a palindrome (203267762302).

The spelling of 202023442100 in words is "two hundred two billion, twenty-three million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 20002321 40004642 80009284 100011605 200023210 400046420 500058025 1000116050 2000232100 2020234421 4040468842 8080937684 10101172105 20202344210 40404688420 50505860525 101011721050 202023442100