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111202002120 = 233511791066379
BaseRepresentation
bin110011110010000100…
…1111110010011001000
3101122000212012000022010
41213210021332103020
53310220203031440
6123030244455520
711014455264546
oct1474411762310
9348025160263
10111202002120
11431846a40a0
12196753aa5a0
13a642542771
14554cab4d96
152d5c8cb580
hex19e427e4c8

111202002120 has 128 divisors (see below), whose sum is σ = 368540928000. Its totient is φ = 26616794880.

The previous prime is 111202002103. The next prime is 111202002127. The reversal of 111202002120 is 21200202111.

It is a super-3 number, since 3×1112020021203 (a number of 34 digits) contains 333 as substring.

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 = 111202002096 and 111202002105.

It is not an unprimeable number, because it can be changed into a prime (111202002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428910 + ... + 637469.

It is an arithmetic number, because the mean of its divisors is an integer number (2879226000).

Almost surely, 2111202002120 is an apocalyptic number.

111202002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111202002120 is an abundant number, since it is smaller than the sum of its proper divisors (257338925880).

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

111202002120 is a wasteful number, since it uses less digits than its factorization.

111202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066483 (or 1066479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111202002120 its reverse (21200202111), we get a palindrome (132402204231).

Subtracting from 111202002120 its reverse (21200202111), we obtain a square (90001800009 = 3000032).

The spelling of 111202002120 in words is "one hundred eleven billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 1066379 2132758 3199137 4265516 5331895 6398274 8531032 10663790 11730169 12796548 15995685 21327580 23460338 25593096 31991370 35190507 42655160 46920676 58650845 63982740 70381014 84243941 93841352 117301690 127965480 140762028 168487882 175952535 234603380 252731823 281524056 336975764 351905070 421219705 469206760 505463646 673951528 703810140 842439410 926683351 1010927292 1263659115 1407620280 1684878820 1853366702 2021854584 2527318230 2780050053 3369757640 3706733404 4633416755 5054636460 5560100106 7413466808 9266833510 10109272920 11120200212 13900250265 18533667020 22240400424 27800500530 37067334040 55601001060 111202002120