Search a number
-
+
233112030120 = 2332517145126251
BaseRepresentation
bin1101100100011010001…
…1110100101110101000
3211021200222102002122100
43121012203310232220
512304403134430440
6255031251453400
722561506363654
oct3310643645650
9737628362570
10233112030120
118a953733552
12392188b7260
1318ca0361bc8
14b3d5975a64
1560e53c1230
hex36468f4ba8

233112030120 has 192 divisors, whose sum is σ = 802763058240. Its totient is φ = 58464000000.

The previous prime is 233112030097. The next prime is 233112030133. The reversal of 233112030120 is 21030211332.

233112030120 is a `hidden beast` number, since 2 + 331 + 12 + 0 + 301 + 20 = 666.

233112030120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233112030093 and 233112030102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8866995 + ... + 8893245.

It is an arithmetic number, because the mean of its divisors is an integer number (4181057595).

Almost surely, 2233112030120 is an apocalyptic number.

233112030120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233112030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401381529120).

233112030120 is an abundant number, since it is smaller than the sum of its proper divisors (569651028120).

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

233112030120 is a wasteful number, since it uses less digits than its factorization.

233112030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27736 (or 27729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233112030120 its reverse (21030211332), we get a palindrome (254142241452).

The spelling of 233112030120 in words is "two hundred thirty-three billion, one hundred twelve million, thirty thousand, one hundred twenty".