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111100211101020 = 223533135569100361
BaseRepresentation
bin11001010000101110001000…
…100111011111110101011100
3112120101002001201211121000010
4121100232020213133311130
5104030231213020213040
61032142422110003220
732254503541545141
oct3120561047376534
9476332051747003
10111100211101020
1132444375876539
1210563b6baa6510
1349cb921a1c77b
141d613c947a3c8
15cc9e889b1e80
hex650b889dfd5c

111100211101020 has 96 divisors (see below), whose sum is σ = 311233465327680. Its totient is φ = 29612167004160.

The previous prime is 111100211100973. The next prime is 111100211101093. The reversal of 111100211101020 is 20101112001111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111100211100987 and 111100211101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106955640 + ... + 1107056000.

It is an arithmetic number, because the mean of its divisors is an integer number (3242015263830).

Almost surely, 2111100211101020 is an apocalyptic number.

111100211101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100211101020 is an abundant number, since it is smaller than the sum of its proper divisors (200133254226660).

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

111100211101020 is a wasteful number, since it uses less digits than its factorization.

111100211101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109255 (or 109253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111100211101020 its reverse (20101112001111), we get a palindrome (131201323102131).

Subtracting from 111100211101020 its reverse (20101112001111), we obtain a palindrome (90999099099909).

The spelling of 111100211101020 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3313 5569 6626 9939 11138 13252 16565 16707 19878 22276 27845 33130 33414 39756 49695 55690 66260 66828 83535 99390 100361 111380 167070 198780 200722 301083 334140 401444 501805 602166 1003610 1204332 1505415 2007220 3010830 6021660 18450097 36900194 55350291 73800388 92250485 110700582 184500970 221401164 276751455 332495993 369001940 553502910 558910409 664991986 997487979 1107005820 1117820818 1329983972 1662479965 1676731227 1994975958 2235641636 2794552045 3324959930 3353462454 3989951916 4987439895 5589104090 6649919860 6706924908 8383656135 9974879790 11178208180 16767312270 19949759580 33534624540 1851670185017 3703340370034 5555010555051 7406680740068 9258350925085 11110021110102 18516701850170 22220042220204 27775052775255 37033403700340 55550105550510 111100211101020