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110103140 = 22572947577
BaseRepresentation
bin1101001000000…
…00101001100100
321200011211010002
412210000221210
5211141300030
614531520432
72504601260
oct644005144
9250154102
10110103140
1157172134
1230a59118
1319a702b4
14108a10a0
1599ed245
hex6900a64

110103140 has 96 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 35610624.

The previous prime is 110103127. The next prime is 110103143. The reversal of 110103140 is 41301011.

It is not an unprimeable number, because it can be changed into a prime (110103143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190532 + ... + 191108.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2110103140 is an apocalyptic number.

110103140 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 110103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

110103140 is an abundant number, since it is smaller than the sum of its proper divisors (169556380).

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

110103140 is a wasteful number, since it uses less digits than its factorization.

110103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 110103140 is about 10493.0043362233. The cubic root of 110103140 is about 479.2916925755.

Adding to 110103140 its reverse (41301011), we get a palindrome (151404151).

The spelling of 110103140 in words is "one hundred ten million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 47 58 70 94 116 140 145 188 203 235 290 329 406 470 577 580 658 812 940 1015 1154 1316 1363 1645 2030 2308 2726 2885 3290 4039 4060 5452 5770 6580 6815 8078 9541 11540 13630 16156 16733 19082 20195 27119 27260 33466 38164 40390 47705 54238 66932 80780 83665 95410 108476 117131 135595 167330 189833 190820 234262 271190 334660 379666 468524 542380 585655 759332 786451 949165 1171310 1572902 1898330 2342620 3145804 3796660 3932255 5505157 7864510 11010314 15729020 22020628 27525785 55051570 110103140