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212202111120 = 24351933457411
BaseRepresentation
bin1100010110100000111…
…0110100000010010000
3202021201201201011011220
43011220032310002100
511434042220023440
6241252335405040
721221365116666
oct3055016640220
9667651634156
10212202111120
1181aa361795a
1235162083780
131701a2c9b7c
14a3b08b0c36
1557be8198d0
hex31683b4090

212202111120 has 80 divisors (see below), whose sum is σ = 658168297152. Its totient is φ = 56557831680.

The previous prime is 212202111119. The next prime is 212202111197. The reversal of 212202111120 is 21111202212.

212202111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212202111120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235215 + ... + 692625.

Almost surely, 2212202111120 is an apocalyptic number.

212202111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202111120 is an abundant number, since it is smaller than the sum of its proper divisors (445966186032).

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

212202111120 is a wasteful number, since it uses less digits than its factorization.

212202111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459360 (or 459354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212202111120 its reverse (21111202212), we get a palindrome (233313313332).

The spelling of 212202111120 in words is "two hundred twelve billion, two hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1933 3866 5799 7732 9665 11598 15464 19330 23196 28995 30928 38660 46392 57990 77320 92784 115980 154640 231960 457411 463920 914822 1372233 1829644 2287055 2744466 3659288 4574110 5488932 6861165 7318576 9148220 10977864 13722330 18296440 21955728 27444660 36592880 54889320 109778640 884175463 1768350926 2652526389 3536701852 4420877315 5305052778 7073403704 8841754630 10610105556 13262631945 14146807408 17683509260 21220211112 26525263890 35367018520 42440422224 53050527780 70734037040 106101055560 212202111120