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110230311120 = 2435974734979
BaseRepresentation
bin110011010101000111…
…1010001000011010000
3101112112010202222211120
41212222033101003100
53301222424423440
6122350014042240
710651416120306
oct1465217210320
9345463688746
10110230311120
1142826156286
1219443aa9380
13a519137987
145499a16276
152d0243cdd0
hex19aa3d10d0

110230311120 has 80 divisors (see below), whose sum is σ = 345236861760. Its totient is φ = 29091704832.

The previous prime is 110230311109. The next prime is 110230311157. The reversal of 110230311120 is 21113032011.

It is a happy number.

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

It is a super-2 number, since 2×1102303111202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110230311120.

It is a congruent number.

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, 2344210 + ... + 2390769.

It is an arithmetic number, because the mean of its divisors is an integer number (4315460772).

Almost surely, 2110230311120 is an apocalyptic number.

110230311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110230311120 is an abundant number, since it is smaller than the sum of its proper divisors (235006550640).

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

110230311120 is a wasteful number, since it uses less digits than its factorization.

110230311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735092 (or 4735086 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110230311120 its reverse (21113032011), we get a palindrome (131343343131).

The spelling of 110230311120 in words is "one hundred ten billion, two hundred thirty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 4734979 9469958 14204937 18939916 23674895 28409874 37879832 47349790 56819748 71024685 75759664 94699580 113639496 142049370 189399160 227278992 284098740 378798320 459292963 568197480 918585926 1136394960 1377878889 1837171852 2296464815 2755757778 3674343704 4592929630 5511515556 6889394445 7348687408 9185859260 11023031112 13778788890 18371718520 22046062224 27557577780 36743437040 55115155560 110230311120