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202102120920 = 23357234371109
BaseRepresentation
bin1011110000111000111…
…0011010000111011000
3201022122211210111021210
42330032032122013120
511302401120332140
6232502221503120
720413164453300
oct2741616320730
9638584714253
10202102120920
1178790418817
1233203711aa0
131609a9a04cb
149ad3360600
1553ccca9d80
hex2f0e39a1d8

202102120920 has 96 divisors (see below), whose sum is σ = 705295177200. Its totient is φ = 46194769152.

The previous prime is 202102120907. The next prime is 202102120921. The reversal of 202102120920 is 29021201202.

It is a happy number.

202102120920 is digitally balanced in base 2, because in such base 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102120921) 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 23 ways as a sum of consecutive naturals, for example, 17179675 + ... + 17191434.

Almost surely, 2202102120920 is an apocalyptic number.

202102120920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102120920 is an abundant number, since it is smaller than the sum of its proper divisors (503193056280).

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

202102120920 is a wasteful number, since it uses less digits than its factorization.

202102120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34371137 (or 34371126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 202102120920 in words is "two hundred two billion, one hundred two million, one hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 34371109 68742218 103113327 137484436 171855545 206226654 240597763 274968872 343711090 412453308 481195526 515566635 687422180 721793289 824906616 962391052 1031133270 1202988815 1374844360 1443586578 1684184341 1924782104 2062266540 2405977630 2887173156 3368368682 3608966445 4124533080 4811955260 5052553023 5774346312 6736737364 7217932890 8420921705 9623910520 10105106046 13473474728 14435865780 16841843410 20210212092 25262765115 28871731560 33683686820 40420424184 50525530230 67367373640 101051060460 202102120920