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133553112 = 23371172269
BaseRepresentation
bin1111111010111…
…01101111011000
3100022022012102120
413331131233120
5233142144422
621130301240
73211116450
oct775355730
9308265376
10133553112
1169429480
1238887820
1321890b14
1413a46d60
15bad145c
hex7f5dbd8

133553112 has 64 divisors (see below), whose sum is σ = 416275200. Its totient is φ = 34688640.

The previous prime is 133553107. The next prime is 133553129. The reversal of 133553112 is 211355331.

It is a super-3 number, since 3×1335531123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34287 + ... + 37982.

It is an arithmetic number, because the mean of its divisors is an integer number (6504300).

Almost surely, 2133553112 is an apocalyptic number.

133553112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133553112 is an abundant number, since it is smaller than the sum of its proper divisors (282722088).

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

133553112 is a wasteful number, since it uses less digits than its factorization.

133553112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72296 (or 72292 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 133553112 is about 11556.5181607611. The cubic root of 133553112 is about 511.1534982840.

The spelling of 133553112 in words is "one hundred thirty-three million, five hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 72269 144538 216807 289076 433614 505883 578152 794959 867228 1011766 1517649 1589918 1734456 2023532 2384877 3035298 3179836 4047064 4769754 5564713 6070596 6359672 9539508 11129426 12141192 16694139 19079016 22258852 33388278 44517704 66776556 133553112