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111313131120 = 24335109347149
BaseRepresentation
bin110011110101011000…
…1111001011001110000
3101122022121021221122000
41213222301321121300
53310432130143440
6123045254414000
711020305001032
oct1475261713160
9348277257560
10111313131120
11432313a6a44
12196a6661300
13a65c581979
14555d761c52
152d6752d730
hex19eac79670

111313131120 has 160 divisors (see below), whose sum is σ = 383770824000. Its totient is φ = 29655714816.

The previous prime is 111313131113. The next prime is 111313131151. The reversal of 111313131120 is 21131313111.

It is a super-2 number, since 2×1113131311202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111313131093 and 111313131102.

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, 2337306 + ... + 2384454.

It is an arithmetic number, because the mean of its divisors is an integer number (2398567650).

Almost surely, 2111313131120 is an apocalyptic number.

111313131120 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 111313131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191885412000).

111313131120 is an abundant number, since it is smaller than the sum of its proper divisors (272457692880).

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

111313131120 is a wasteful number, since it uses less digits than its factorization.

111313131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48264 (or 48252 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111313131120 its reverse (21131313111), we get a palindrome (132444444231).

The spelling of 111313131120 in words is "one hundred eleven billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1093 2160 2186 3279 4372 5465 6558 8744 9837 10930 13116 16395 17488 19674 21860 26232 29511 32790 39348 43720 47149 49185 52464 59022 65580 78696 87440 94298 98370 118044 131160 141447 147555 157392 188596 196740 235745 236088 262320 282894 295110 377192 393480 424341 471490 472176 565788 590220 707235 754384 786960 848682 942980 1131576 1180440 1273023 1414470 1697364 1885960 2121705 2263152 2360880 2546046 2828940 3394728 3771920 4243410 5092092 5657880 6365115 6789456 8486820 10184184 11315760 12730230 16973640 20368368 25460460 33947280 50920920 51533857 101841840 103067714 154601571 206135428 257669285 309203142 412270856 463804713 515338570 618406284 773007855 824541712 927609426 1030677140 1236812568 1391414139 1546015710 1855218852 2061354280 2319023565 2473625136 2782828278 3092031420 3710437704 4122708560 4638047130 5565656556 6184062840 6957070695 7420875408 9276094260 11131313112 12368125680 13914141390 18552188520 22262626224 27828282780 37104377040 55656565560 111313131120