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230013120 = 2635239597
BaseRepresentation
bin11011011010110…
…11100011000000
3121000210212200110
431231123203000
5432340404440
634453551320
75462036121
oct1555334300
9530725613
10230013120
11108922297
1265045540
133886524c
1422796048
15152d7080
hexdb5b8c0

230013120 has 56 divisors (see below), whose sum is σ = 730294704. Its totient is φ = 61336576.

The previous prime is 230013101. The next prime is 230013139. The reversal of 230013120 is 21310032.

It is a happy number.

230013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230013101) and next prime (230013139).

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 = 230013096 and 230013105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118839 + ... + 120758.

Almost surely, 2230013120 is an apocalyptic number.

230013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013120 is an abundant number, since it is smaller than the sum of its proper divisors (500281584).

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

230013120 is a wasteful number, since it uses less digits than its factorization.

230013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239617 (or 239607 counting only the distinct ones).

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

The square root of 230013120 is about 15166.1834355252. The cubic root of 230013120 is about 612.7042173397.

Adding to 230013120 its reverse (21310032), we get a palindrome (251323152).

The spelling of 230013120 in words is "two hundred thirty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 239597 479194 718791 958388 1197985 1437582 1916776 2395970 2875164 3593955 3833552 4791940 5750328 7187910 7667104 9583880 11500656 14375820 15334208 19167760 23001312 28751640 38335520 46002624 57503280 76671040 115006560 230013120