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112041120 = 2535233419
BaseRepresentation
bin1101010110110…
…01110010100000
321210211021112010
412223121302200
5212140303440
615041232520
72530222332
oct653316240
9253737463
10112041120
1158276174
1231632740
131a29b429
1410c47452
159c82580
hex6ad9ca0

112041120 has 48 divisors (see below), whose sum is σ = 352931040. Its totient is φ = 29877504.

The previous prime is 112041113. The next prime is 112041199. The reversal of 112041120 is 21140211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112041096 and 112041105.

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 7 ways as a sum of consecutive naturals, for example, 116230 + ... + 117189.

It is an arithmetic number, because the mean of its divisors is an integer number (7352730).

Almost surely, 2112041120 is an apocalyptic number.

112041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112041120 is an abundant number, since it is smaller than the sum of its proper divisors (240889920).

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

112041120 is a wasteful number, since it uses less digits than its factorization.

112041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233437 (or 233429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112041120 is about 10584.9478033668. The cubic root of 112041120 is about 482.0874367183.

Adding to 112041120 its reverse (21140211), we get a palindrome (133181331).

Subtracting from 112041120 its reverse (21140211), we obtain a palindrome (90900909).

The spelling of 112041120 in words is "one hundred twelve million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 233419 466838 700257 933676 1167095 1400514 1867352 2334190 2801028 3501285 3734704 4668380 5602056 7002570 7469408 9336760 11204112 14005140 18673520 22408224 28010280 37347040 56020560 112041120