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230103120 = 24351373751
BaseRepresentation
bin11011011011100…
…01100001010000
3121000222110010210
431231301201100
5432401244440
634455524120
75462562402
oct1555614120
9530873123
10230103120
11108983975
1265089640
13388971c0
14227bab72
1515303a80
hexdb71850

230103120 has 80 divisors (see below), whose sum is σ = 768200832. Its totient is φ = 56640000.

The previous prime is 230103101. The next prime is 230103161. The reversal of 230103120 is 21301032.

It is a happy number.

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

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 = 230103096 and 230103105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33756 + ... + 39995.

Almost surely, 2230103120 is an apocalyptic number.

230103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230103120 is an abundant number, since it is smaller than the sum of its proper divisors (538097712).

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

230103120 is a wasteful number, since it uses less digits than its factorization.

230103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73780 (or 73774 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230103120 is about 15169.1502728399. The cubic root of 230103120 is about 612.7841203019.

Adding to 230103120 its reverse (21301032), we get a palindrome (251404152).

The spelling of 230103120 in words is "two hundred thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 73751 147502 221253 295004 368755 442506 590008 737510 885012 958763 1106265 1180016 1475020 1770024 1917526 2212530 2876289 2950040 3540048 3835052 4425060 4793815 5752578 5900080 7670104 8850120 9587630 11505156 14381445 15340208 17700240 19175260 23010312 28762890 38350520 46020624 57525780 76701040 115051560 230103120