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230133311120 = 2455774985557
BaseRepresentation
bin1101011001010100000…
…0111010011010010000
3211000000101102111100102
43112111000322122100
512232303111423440
6253415523311532
722424626604006
oct3262500723220
9730011374312
10230133311120
1189665288909
123872721b5a8
13189171bbb9b
14b1d210ca76
155ebdb32b15
hex359503a690

230133311120 has 40 divisors (see below), whose sum is σ = 535987369464. Its totient is φ = 91893768192.

The previous prime is 230133311119. The next prime is 230133311143. The reversal of 230133311120 is 21113331032.

It can be written as a sum of positive squares in 4 ways, for example, as 30070334464 + 200062976656 = 173408^2 + 447284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2301333111202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230133311092 and 230133311101.

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, 2446619 + ... + 2538938.

Almost surely, 2230133311120 is an apocalyptic number.

230133311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230133311120 is an abundant number, since it is smaller than the sum of its proper divisors (305854058344).

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

230133311120 is a wasteful number, since it uses less digits than its factorization.

230133311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986147 (or 4986141 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 230133311120 its reverse (21113331032), we get a palindrome (251246642152).

The spelling of 230133311120 in words is "two hundred thirty billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 577 1154 2308 2885 4616 5770 9232 11540 23080 46160 4985557 9971114 19942228 24927785 39884456 49855570 79768912 99711140 199422280 398844560 2876666389 5753332778 11506665556 14383331945 23013331112 28766663890 46026662224 57533327780 115066655560 230133311120