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112756501 = 111337101211
BaseRepresentation
bin1101011100010…
…00011100010101
321212011121211201
412232020130111
5212331202001
615104432501
72536262104
oct656103425
9255147751
10112756501
11587146a0
1231918731
131a48bc30
1410d9203b
159d74501
hex6b88715

112756501 has 32 divisors (see below), whose sum is σ = 138047616. Its totient is φ = 90720000.

The previous prime is 112756477. The next prime is 112756513. The reversal of 112756501 is 105657211.

It is a cyclic number.

It is not a de Polignac number, because 112756501 - 213 = 112748309 is a prime.

It is a deceptive number, since it divides R112756500.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112756501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112756531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 534286 + ... + 534496.

It is an arithmetic number, because the mean of its divisors is an integer number (4313988).

Almost surely, 2112756501 is an apocalyptic number.

112756501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112756501 is a deficient number, since it is larger than the sum of its proper divisors (25291115).

112756501 is a wasteful number, since it uses less digits than its factorization.

112756501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 112756501 is about 10618.6864065194. The cubic root of 112756501 is about 483.1113012165. Note that the first 3 decimals are identical.

The spelling of 112756501 in words is "one hundred twelve million, seven hundred fifty-six thousand, five hundred one".

Divisors: 1 11 13 37 101 143 211 407 481 1111 1313 2321 2743 3737 5291 7807 14443 21311 30173 41107 48581 85877 101491 234421 277043 534391 788507 1116401 3047473 8673577 10250591 112756501