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110106120 = 23357731187
BaseRepresentation
bin1101001000000…
…01011000001000
321200011222012110
412210001120020
5211141343440
614531542320
72504613045
oct644013010
9250158173
10110106120
11571743a3
1230a5a9a0
1319a71767
14108a21cc
1599ee080
hex6901608

110106120 has 64 divisors (see below), whose sum is σ = 331024320. Its totient is φ = 29298944.

The previous prime is 110106109. The next prime is 110106131. The reversal of 110106120 is 21601011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110106109) and next prime (110106131).

It is a super-2 number, since 2×1101061202 = 24246715322908800, which contains 22 as substring.

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 = 110106096 and 110106105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92167 + ... + 93353.

It is an arithmetic number, because the mean of its divisors is an integer number (5172255).

Almost surely, 2110106120 is an apocalyptic number.

110106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110106120 is an abundant number, since it is smaller than the sum of its proper divisors (220918200).

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

110106120 is a wasteful number, since it uses less digits than its factorization.

110106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1970 counting only the distinct ones).

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

The square root of 110106120 is about 10493.1463346320. The cubic root of 110106120 is about 479.2960166313.

Adding to 110106120 its reverse (21601011), we get a palindrome (131707131).

The spelling of 110106120 in words is "one hundred ten million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 773 1187 1546 2319 2374 3092 3561 3865 4638 4748 5935 6184 7122 7730 9276 9496 11595 11870 14244 15460 17805 18552 23190 23740 28488 30920 35610 46380 47480 71220 92760 142440 917551 1835102 2752653 3670204 4587755 5505306 7340408 9175510 11010612 13763265 18351020 22021224 27526530 36702040 55053060 110106120