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202022010100 = 22524149273661
BaseRepresentation
bin1011110000100101110…
…0110011110011110100
3201022110021001102220101
42330021130303303310
511302220113310400
6232450240443444
720411202516121
oct2741134636364
9638407042811
10202022010100
117874a181329
12331a0919584
1316087201861
149ac6869748
1553c5c3356a
hex2f09733cf4

202022010100 has 36 divisors (see below), whose sum is σ = 449080155468. Its totient is φ = 78837856000.

The previous prime is 202022010053. The next prime is 202022010109. The reversal of 202022010100 is 1010220202.

It can be written as a sum of positive squares in 6 ways, for example, as 16014396304 + 186007613796 = 126548^2 + 431286^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24632731 + ... + 24640930.

It is an arithmetic number, because the mean of its divisors is an integer number (12474448763).

Almost surely, 2202022010100 is an apocalyptic number.

202022010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022010100 is an abundant number, since it is smaller than the sum of its proper divisors (247058145368).

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

202022010100 is a wasteful number, since it uses less digits than its factorization.

202022010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49273716 (or 49273709 counting only the distinct ones).

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

Adding to 202022010100 its reverse (1010220202), we get a palindrome (203032230302).

It can be divided in two parts, 20202 and 2010100, that added together give a palindrome (2030302).

The spelling of 202022010100 in words is "two hundred two billion, twenty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 49273661 98547322 197094644 246368305 492736610 985473220 1231841525 2020220101 2463683050 4040440202 4927366100 8080880404 10101100505 20202201010 40404402020 50505502525 101011005050 202022010100