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20111021200 = 2452192139273
BaseRepresentation
bin10010101110101101…
…011101010010010000
31220220120102201201001
4102232231131102100
5312141410134300
613123332551344
71311240600604
oct225655352220
956816381631
1020111021200
118590168986
123a93182554
131b866a9a5a
14d8ad45504
157ca89b16a
hex4aeb5d490

20111021200 has 90 divisors (see below), whose sum is σ = 50993921634. Its totient is φ = 7620963840.

The previous prime is 20111021197. The next prime is 20111021237. The reversal of 20111021200 is 212011102.

It can be written as a sum of positive squares in 3 ways, for example, as 6625308816 + 13485712384 = 81396^2 + 116128^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 17 ways as a sum of consecutive naturals, for example, 74764 + ... + 214036.

Almost surely, 220111021200 is an apocalyptic number.

20111021200 is a gapful number since it is divisible by the number (20) 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 20111021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25496960817).

20111021200 is an abundant number, since it is smaller than the sum of its proper divisors (30882900434).

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

20111021200 is a wasteful number, since it uses less digits than its factorization.

20111021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139329 (or 139299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20111021200 its reverse (212011102), we get a palindrome (20323032302).

The spelling of 20111021200 in words is "twenty billion, one hundred eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 9025 14440 18050 28880 36100 72200 139273 144400 278546 557092 696365 1114184 1392730 2228368 2646187 2785460 3481825 5292374 5570920 6963650 10584748 11141840 13230935 13927300 21169496 26461870 27854600 42338992 50277553 52923740 55709200 66154675 100555106 105847480 132309350 201110212 211694960 251387765 264618700 402220424 502775530 529237400 804440848 1005551060 1058474800 1256938825 2011102120 2513877650 4022204240 5027755300 10055510600 20111021200