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202012202100 = 223522236930103
BaseRepresentation
bin1011110000100011011…
…1011001010001110100
3201022102120121010212010
42330020313121101310
511302210110431400
6232445250324220
720411023246302
oct2741067312164
9638376533763
10202012202100
1178744692445
1233199589670
13160851794c7
149ac5435272
1553c4e47450
hex2f08dd9474

202012202100 has 72 divisors (see below), whose sum is σ = 584534184640. Its totient is φ = 53865722880.

The previous prime is 202012202009. The next prime is 202012202131. The reversal of 202012202100 is 1202210202.

202012202100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6695649 + ... + 6725751.

Almost surely, 2202012202100 is an apocalyptic number.

202012202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012202100 is an abundant number, since it is smaller than the sum of its proper divisors (382521982540).

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

202012202100 is a wasteful number, since it uses less digits than its factorization.

202012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52489 (or 52482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202012202100 its reverse (1202210202), we get a palindrome (203214412302).

The spelling of 202012202100 in words is "two hundred two billion, twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 22369 30103 44738 60206 67107 89476 90309 111845 120412 134214 150515 180618 223690 268428 301030 335535 361236 447380 451545 559225 602060 671070 752575 903090 1118450 1342140 1505150 1677675 1806180 2236900 2257725 3010300 3355350 4515450 6710700 9030900 673374007 1346748014 2020122021 2693496028 3366870035 4040244042 6733740070 8080488084 10100610105 13467480140 16834350175 20201220210 33668700350 40402440420 50503050525 67337400700 101006101050 202012202100