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110230120 = 235711132753
BaseRepresentation
bin1101001000111…
…11101001101000
321200102021022001
412210133221220
5211204330440
614534340344
72505640420
oct644375150
9250367261
10110230120
1157249580
1230aba6b4
1319ab6030
14108d5480
159a25b9a
hex691fa68

110230120 has 128 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 31703040.

The previous prime is 110230117. The next prime is 110230123. The reversal of 110230120 is 21032011.

It is an interprime number because it is at equal distance from previous prime (110230117) and next prime (110230123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110230097 and 110230106.

It is not an unprimeable number, because it can be changed into a prime (110230123) 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, 38664 + ... + 41416.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2110230120 is an apocalyptic number.

110230120 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 110230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

110230120 is an abundant number, since it is smaller than the sum of its proper divisors (222893720).

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

110230120 is a wasteful number, since it uses less digits than its factorization.

110230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 110230120 is about 10499.0532906544. The cubic root of 110230120 is about 479.4758746605.

Adding to 110230120 its reverse (21032011), we get a palindrome (131262131).

The spelling of 110230120 in words is "one hundred ten million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2753 2860 3080 3640 4004 5005 5506 5720 8008 10010 11012 13765 19271 20020 22024 27530 30283 35789 38542 40040 55060 60566 71578 77084 96355 110120 121132 143156 151415 154168 178945 192710 211981 242264 250523 286312 302830 357890 385420 393679 423962 501046 605660 715780 770840 787358 847924 1002092 1059905 1211320 1252615 1431560 1574716 1695848 1968395 2004184 2119810 2505230 2755753 3149432 3936790 4239620 5010460 5511506 7873580 8479240 10020920 11023012 13778765 15747160 22046024 27557530 55115060 110230120