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202101011090 = 25112179825037
BaseRepresentation
bin1011110000111000101…
…0001011001010010010
3201022122202201002212222
42330032022023022102
511302400324323330
6232502142021042
720413152151526
oct2741612131222
9638582632788
10202101011090
117878a82aa00
1233203277782
131609a6a22c4
149ad3151d86
1553ccb3b0e5
hex2f0e28b292

202101011090 has 48 divisors (see below), whose sum is σ = 423380537496. Its totient is φ = 69168253440.

The previous prime is 202101011089. The next prime is 202101011171. The reversal of 202101011090 is 90110101202.

It can be written as a sum of positive squares in 4 ways, for example, as 167831966929 + 34269044161 = 409673^2 + 185119^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 4891949 + ... + 4933088.

Almost surely, 2202101011090 is an apocalyptic number.

202101011090 is an abundant number, since it is smaller than the sum of its proper divisors (221279526406).

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

202101011090 is a wasteful number, since it uses less digits than its factorization.

202101011090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825083 (or 9825072 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 202101011090 its reverse (90110101202), we get a palindrome (292211112292).

The spelling of 202101011090 in words is "two hundred two billion, one hundred one million, eleven thousand, ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 20570 9825037 19650074 49125185 98250370 108075407 167025629 216150814 334051258 540377035 835128145 1080754070 1188829477 1670256290 1837281919 2377658954 3674563838 5944147385 9186409595 11888294770 18372819190 20210101109 40420202218 101050505545 202101011090