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111300133032 = 233211314533241
BaseRepresentation
bin110011110101000000…
…0010100000010101000
3101122021200211120121100
41213222000110002220
53310420313224112
6123044112041400
711020056343524
oct1475200240250
9348250746540
10111300133032
1143225029320
12196a2233260
13a6599805aa
14555bb3ad84
152d663122dc
hex19ea0140a8

111300133032 has 96 divisors (see below), whose sum is σ = 339449160960. Its totient is φ = 32639328000.

The previous prime is 111300132973. The next prime is 111300133057. The reversal of 111300133032 is 230331003111.

It is a happy number.

111300133032 is a `hidden beast` number, since 1 + 1 + 1 + 300 + 1 + 330 + 32 = 666.

It is a super-2 number, since 2×1113001330322 (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 = 111300132996 and 111300133014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242069 + ... + 2291172.

It is an arithmetic number, because the mean of its divisors is an integer number (3535928760).

Almost surely, 2111300133032 is an apocalyptic number.

111300133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111300133032 is an abundant number, since it is smaller than the sum of its proper divisors (228149027928).

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

111300133032 is a wasteful number, since it uses less digits than its factorization.

111300133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533295 (or 4533288 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 111300133032 its reverse (230331003111), we get a palindrome (341631136143).

The spelling of 111300133032 in words is "one hundred eleven billion, three hundred million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 4533241 9066482 13599723 18132964 27199446 36265928 40799169 49865651 54398892 81598338 99731302 108797784 140530471 149596953 163196676 199462604 281060942 299193906 326393352 398925208 421591413 448790859 562121884 598387812 843182826 897581718 1124243768 1196775624 1264774239 1545835181 1686365652 1795163436 2529548478 3091670362 3372731304 3590326872 4637505543 5059096956 6183340724 9275011086 10118193912 12366681448 13912516629 18550022172 27825033258 37100044344 55650066516 111300133032