Search a number
-
+
23701161330 = 2345721154287
BaseRepresentation
bin10110000100101100…
…110000010101110010
32021011202220202010000
4112010230300111302
5342014444130310
614515502050430
71466223355500
oct260454602562
967152822100
1023701161330
11a062762340
124715579a16
132309417022
14120ba89670
1593ab614c0
hex584b30572

23701161330 has 240 divisors, whose sum is σ = 80875656576. Its totient is φ = 4924825920.

The previous prime is 23701161311. The next prime is 23701161331. The reversal of 23701161330 is 3316110732.

23701161330 is a `hidden beast` number, since 2 + 3 + 7 + 0 + 11 + 613 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23701161294 and 23701161303.

It is not an unprimeable number, because it can be changed into a prime (23701161331) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409447 + ... + 463733.

Almost surely, 223701161330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23701161330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40437828288).

23701161330 is an abundant number, since it is smaller than the sum of its proper divisors (57174495246).

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

23701161330 is a wasteful number, since it uses less digits than its factorization.

23701161330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54331 (or 54315 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 23701161330 in words is "twenty-three billion, seven hundred one million, one hundred sixty-one thousand, three hundred thirty".