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1020212023300 = 2252103209947189
BaseRepresentation
bin11101101100010010110…
…00000001000000000100
310121112100022220121000121
432312021120001000010
5113203343234221200
62100402352151324
7133464543054451
oct16661130010004
93545308817017
101020212023300
113637400aa188
12145882b38544
137528987a242
1437542960828
151b810e13e1a
hexed89601004

1020212023300 has 72 divisors (see below), whose sum is σ = 2236466232000. Its totient is φ = 403921729920.

The previous prime is 1020212023283. The next prime is 1020212023319. The reversal of 1020212023300 is 33202120201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21596106 + ... + 21643294.

It is an arithmetic number, because the mean of its divisors is an integer number (31062031000).

Almost surely, 21020212023300 is an apocalyptic number.

1020212023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020212023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118233116000).

1020212023300 is an abundant number, since it is smaller than the sum of its proper divisors (1216254208700).

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

1020212023300 is a wasteful number, since it uses less digits than its factorization.

1020212023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49405 (or 49398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1020212023300 its reverse (33202120201), we get a palindrome (1053414143501).

The spelling of 1020212023300 in words is "one trillion, twenty billion, two hundred twelve million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2099 2575 4198 5150 8396 10300 10495 20990 41980 47189 52475 94378 104950 188756 209900 216197 235945 432394 471890 864788 943780 1080985 1179725 2161970 2359450 4323940 4718900 4860467 5404925 9720934 10809850 19441868 21619700 24302335 48604670 97209340 99049711 121511675 198099422 243023350 396198844 486046700 495248555 990497110 1980994220 2476242775 4952485550 9904971100 10202120233 20404240466 40808480932 51010601165 102021202330 204042404660 255053005825 510106011650 1020212023300