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202022213020100 = 225211270973677767
BaseRepresentation
bin101101111011110011110110…
…001111100110100111000100
3222111022010122101012020122122
4231323303312033212213010
5202434412443013120400
61553355420132345112
760360423524344244
oct5573636617464704
9874263571166578
10202022213020100
11594091595a5990
121a7a9312475198
1388957c783a915
1437c5cda665b24
1518550dc227685
hexb7bcf63e69c4

202022213020100 has 72 divisors (see below), whose sum is σ = 478244145707328. Its totient is φ = 73462243420800.

The previous prime is 202022213020097. The next prime is 202022213020321. The reversal of 202022213020100 is 1020312220202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297731417 + ... + 298409183.

Almost surely, 2202022213020100 is an apocalyptic number.

202022213020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022213020100 is an abundant number, since it is smaller than the sum of its proper divisors (276221932687228).

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

202022213020100 is a wasteful number, since it uses less digits than its factorization.

202022213020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948765 (or 948758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202022213020100 its reverse (1020312220202), we get a palindrome (203042525240302).

The spelling of 202022213020100 in words is "two hundred two trillion, twenty-two billion, two hundred thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 270973 541946 677767 1083892 1354865 1355534 2709730 2711068 2980703 3388835 5419460 5961406 6774325 6777670 7455437 11922812 13548650 13555340 14903515 14910874 16944175 27097300 29807030 29821748 33888350 37277185 59614060 67776700 74517575 74554370 149035150 149108740 186385925 298070300 372771850 745543700 183656557291 367313114582 734626229164 918282786455 1836565572910 2020222130201 3673131145820 4040444260402 4591413932275 8080888520804 9182827864550 10101110651005 18365655729100 20202221302010 40404442604020 50505553255025 101011106510050 202022213020100