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110243120 = 24513711493
BaseRepresentation
bin1101001001000…
…10110100110000
321200102221010112
412210202310300
5211210234440
614534520452
72506023341
oct644426460
9250387115
10110243120
1157258319
1230b06128
1319abbc20
14108da0c8
159a29965
hex6922d30

110243120 has 80 divisors (see below), whose sum is σ = 280107072. Its totient is φ = 40104960.

The previous prime is 110243101. The next prime is 110243131. The reversal of 110243120 is 21342011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 110243095 and 110243104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73094 + ... + 74586.

Almost surely, 2110243120 is an apocalyptic number.

110243120 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 110243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140053536).

110243120 is an abundant number, since it is smaller than the sum of its proper divisors (169863952).

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

110243120 is a wasteful number, since it uses less digits than its factorization.

110243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 110243120 is about 10499.6723758411. The cubic root of 110243120 is about 479.4947229310.

Adding to 110243120 its reverse (21342011), we get a palindrome (131585131).

The spelling of 110243120 in words is "one hundred ten million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1493 1846 2840 2986 3692 4615 5680 5972 7384 7465 9230 11944 14768 14930 18460 19409 23888 29860 36920 38818 59720 73840 77636 97045 106003 119440 155272 194090 212006 310544 388180 424012 530015 776360 848024 1060030 1378039 1552720 1696048 2120060 2756078 4240120 5512156 6890195 8480240 11024312 13780390 22048624 27560780 55121560 110243120