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112053300 = 223523111201
BaseRepresentation
bin1101010110111…
…00110000110100
321210211220020020
412223130300310
5212141201200
615041405140
72530303002
oct653346064
9253756206
10112053300
1158284337
12316397b0
131a2a3b38
1410c4ba72
159c85ea0
hex6adcc34

112053300 has 72 divisors (see below), whose sum is σ = 325520832. Its totient is φ = 29760000.

The previous prime is 112053281. The next prime is 112053323. The reversal of 112053300 is 3350211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112053300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92700 + ... + 93900.

Almost surely, 2112053300 is an apocalyptic number.

112053300 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 112053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162760416).

112053300 is an abundant number, since it is smaller than the sum of its proper divisors (213467532).

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

112053300 is a wasteful number, since it uses less digits than its factorization.

112053300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 112053300 is about 10585.5231330341. The cubic root of 112053300 is about 482.1049053411.

It can be divided in two parts, 112053 and 300, that multiplied together give a triangular number (33615900 = T8199).

The spelling of 112053300 in words is "one hundred twelve million, fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 311 622 933 1201 1244 1555 1866 2402 3110 3603 3732 4665 4804 6005 6220 7206 7775 9330 12010 14412 15550 18015 18660 23325 24020 30025 31100 36030 46650 60050 72060 90075 93300 120100 180150 360300 373511 747022 1120533 1494044 1867555 2241066 3735110 4482132 5602665 7470220 9337775 11205330 18675550 22410660 28013325 37351100 56026650 112053300