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230233112120 = 23511523257073
BaseRepresentation
bin1101011001101011110…
…1100111111000111000
3211000021100012220120202
43112122331213320320
512233004134041440
6253433450341332
722430251110014
oct3263275477070
9730240186522
10230233112120
1189706653880
123875472a848
1318931a92c2b
14b20148b544
155ec7798615
hex359af67e38

230233112120 has 32 divisors (see below), whose sum is σ = 565117639920. Its totient is φ = 83721131520.

The previous prime is 230233112117. The next prime is 230233112129. The reversal of 230233112120 is 21211332032.

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 = 230233112092 and 230233112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230233112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261628097 + ... + 261628976.

Almost surely, 2230233112120 is an apocalyptic number.

230233112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233112120 is an abundant number, since it is smaller than the sum of its proper divisors (334884527800).

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

230233112120 is a wasteful number, since it uses less digits than its factorization.

230233112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523257095 (or 523257091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230233112120 its reverse (21211332032), we get a palindrome (251444444152).

The spelling of 230233112120 in words is "two hundred thirty billion, two hundred thirty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 523257073 1046514146 2093028292 2616285365 4186056584 5232570730 5755827803 10465141460 11511655606 20930282920 23023311212 28779139015 46046622424 57558278030 115116556060 230233112120