Search a number
-
+
23102132424 = 23372979193311
BaseRepresentation
bin10101100000111111…
…101001000011001000
32012122000201220221020
4111200333221003020
5334303121214144
614340222512440
71445330612520
oct254077510310
965560656836
1023102132424
119885608028
124588a35720
13224229b457
1411922b6680
15903286419
hex560fe90c8

23102132424 has 256 divisors, whose sum is σ = 69728256000. Its totient is φ = 6239600640.

The previous prime is 23102132413. The next prime is 23102132461. The reversal of 23102132424 is 42423120132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23102132394 and 23102132403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74283229 + ... + 74283539.

It is an arithmetic number, because the mean of its divisors is an integer number (272376000).

Almost surely, 223102132424 is an apocalyptic number.

23102132424 is a gapful number since it is divisible by the number (24) 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 23102132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864128000).

23102132424 is an abundant number, since it is smaller than the sum of its proper divisors (46626123576).

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

23102132424 is a wasteful number, since it uses less digits than its factorization.

23102132424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23102132424 its reverse (42423120132), we get a palindrome (65525252556).

The spelling of 23102132424 in words is "twenty-three billion, one hundred two million, one hundred thirty-two thousand, four hundred twenty-four".