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202102102002220 = 225723142169441479
BaseRepresentation
bin101101111100111110001111…
…111111111000101000101100
3222111120202211222102000202021
4231330332033333320220230
5202442220101103032340
61553500231322435524
760366252330444460
oct5574761777705054
9874522758360667
10202102102002220
115943a024875652
121a8008a9062ba4
1388a01b9971c84
1437c9b187824a0
151857215ab6e4a
hexb7cf8fff8a2c

202102102002220 has 96 divisors (see below), whose sum is σ = 506138666342400. Its totient is φ = 66278830785024.

The previous prime is 202102102002209. The next prime is 202102102002247. The reversal of 202102102002220 is 22200201201202.

It is a junction number, because it is equal to n+sod(n) for n = 202102102002194 and 202102102002203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457563441 + ... + 458004919.

It is an arithmetic number, because the mean of its divisors is an integer number (5272277774400).

Almost surely, 2202102102002220 is an apocalyptic number.

202102102002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102102002220 is an abundant number, since it is smaller than the sum of its proper divisors (304036564340180).

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

202102102002220 is a wasteful number, since it uses less digits than its factorization.

202102102002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583687 (or 583685 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202102102002220 its reverse (22200201201202), we get a palindrome (224302303203422).

The spelling of 202102102002220 in words is "two hundred two trillion, one hundred two billion, one hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 142169 284338 441479 568676 710845 882958 995183 1421690 1765916 1990366 2207395 2843380 3090353 3269887 3980732 4414790 4975915 6180706 6539774 8829580 9951830 10154017 12361412 13079548 15451765 16349435 19903660 20308034 22889209 30903530 32698870 40616068 45778418 50770085 61807060 65397740 71078119 91556836 101540170 114446045 142156238 203080340 228892090 284312476 355390595 457784180 710781190 1421562380 62764627951 125529255902 251058511804 313823139755 439352395657 627646279510 878704791314 1255292559020 1443586442873 1757409582628 2196761978285 2887172885746 4393523956570 5774345771492 7217932214365 8787047913140 10105105100111 14435864428730 20210210200222 28871728857460 40420420400444 50525525500555 101051051001110 202102102002220