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23132103120 = 24365756663
BaseRepresentation
bin10101100010110001…
…111110000111010000
32012201010010121000000
4111202301332013100
5334333304244440
614343213130000
71446143426610
oct254261760720
965633117000
1023132103120
1198a05184a5
124596a89900
132248562ca9
141196278a40
15905c06730
hex562c7e1d0

23132103120 has 280 divisors, whose sum is σ = 92157422976. Its totient is φ = 5287244544.

The previous prime is 23132103107. The next prime is 23132103131. The reversal of 23132103120 is 2130123132.

23132103120 is a `hidden beast` number, since 2 + 31 + 321 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 = 23132103093 and 23132103102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379909 + ... + 436571.

Almost surely, 223132103120 is an apocalyptic number.

23132103120 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 23132103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46078711488).

23132103120 is an abundant number, since it is smaller than the sum of its proper divisors (69025319856).

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

23132103120 is an equidigital number, since it uses as much as digits as its factorization.

23132103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56701 (or 56680 counting only the distinct ones).

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

Adding to 23132103120 its reverse (2130123132), we get a palindrome (25262226252).

The spelling of 23132103120 in words is "twenty-three billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty".