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202010102220 = 22356155194017
BaseRepresentation
bin1011110000100010111…
…1011000100111001100
3201022102102122110100210
42330020233120213030
511302204041232340
6232445133322420
720410666352223
oct2741057304714
9638372573323
10202010102220
1178743488803
1233198936410
13160848c2784
149ac5049cba
1553c4b80180
hex2f08bd89cc

202010102220 has 48 divisors (see below), whose sum is σ = 574900891488. Its totient is φ = 52986255360.

The previous prime is 202010102209. The next prime is 202010102221. The reversal of 202010102220 is 22201010202.

202010102220 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 junction number, because it is equal to n+sod(n) for n = 202010102196 and 202010102205.

It is not an unprimeable number, because it can be changed into a prime (202010102221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27593349 + ... + 27600668.

It is an arithmetic number, because the mean of its divisors is an integer number (11977101906).

Almost surely, 2202010102220 is an apocalyptic number.

202010102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010102220 is an abundant number, since it is smaller than the sum of its proper divisors (372890789268).

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

202010102220 is a wasteful number, since it uses less digits than its factorization.

202010102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55194090 (or 55194088 counting only the distinct ones).

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

Adding to 202010102220 its reverse (22201010202), we get a palindrome (224211112422).

The spelling of 202010102220 in words is "two hundred two billion, ten million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 55194017 110388034 165582051 220776068 275970085 331164102 551940170 662328204 827910255 1103880340 1655820510 3311641020 3366835037 6733670074 10100505111 13467340148 16834175185 20201010222 33668350370 40402020444 50502525555 67336700740 101005051110 202010102220