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1002030202200 = 233522516653587
BaseRepresentation
bin11101001010011011010…
…01110111110101011000
310112210102012121101100010
432211031221313311120
5112404124212432300
62044154252441520
7132252146120616
oct16451551676530
93483365541303
101002030202200
11356a5aa20955
12142249a792a0
137364ca88c11
14366d9d246b6
151b0e9ae2a50
hexe94da77d58

1002030202200 has 96 divisors (see below), whose sum is σ = 3118669767360. Its totient is φ = 266143440000.

The previous prime is 1002030202183. The next prime is 1002030202273. The reversal of 1002030202200 is 22020302001.

It is a super-2 number, since 2×10020302022002 (a number of 25 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3176194 + ... + 3477393.

It is an arithmetic number, because the mean of its divisors is an integer number (32486143410).

Almost surely, 21002030202200 is an apocalyptic number.

1002030202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002030202200 is an abundant number, since it is smaller than the sum of its proper divisors (2116639565160).

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

1002030202200 is a wasteful number, since it uses less digits than its factorization.

1002030202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653857 (or 6653848 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1002030202200 its reverse (22020302001), we get a palindrome (1024050504201).

The spelling of 1002030202200 in words is "one trillion, two billion, thirty million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 6653587 13307174 19960761 26614348 33267935 39921522 53228696 66535870 79843044 99803805 133071740 159686088 166339675 199607610 266143480 332679350 399215220 499019025 665358700 798430440 998038050 1330717400 1670050337 1996076100 3340100674 3992152200 5010151011 6680201348 8350251685 10020302022 13360402696 16700503370 20040604044 25050755055 33401006740 40081208088 41751258425 50101510110 66802013480 83502516850 100203020220 125253775275 167005033700 200406040440 250507550550 334010067400 501015101100 1002030202200