Search a number
-
+
23461701120 = 2932511137121
BaseRepresentation
bin10101110110011011…
…010010011000000000
32020120002022220110100
4111312123102120000
5341022143413440
614440025402400
71460255111664
oct256633223000
966502286410
1023461701120
119a4a578340
124669339400
13229b924ab0
1411c7d548a4
15924b10230
hex5766d2600

23461701120 has 480 divisors, whose sum is σ = 95473201824. Its totient is φ = 5249433600.

The previous prime is 23461701113. The next prime is 23461701127. The reversal of 23461701120 is 2110716432.

23461701120 is a `hidden beast` number, since 2 + 34 + 617 + 0 + 1 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23461701113) and next prime (23461701127).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23461701127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3291160 + ... + 3298280.

Almost surely, 223461701120 is an apocalyptic number.

23461701120 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 23461701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736600912).

23461701120 is an abundant number, since it is smaller than the sum of its proper divisors (72011500704).

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

23461701120 is a wasteful number, since it uses less digits than its factorization.

23461701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 23461701120 in words is "twenty-three billion, four hundred sixty-one million, seven hundred one thousand, one hundred twenty".