Search a number
-
+
125311025400 = 233521134135563
BaseRepresentation
bin111010010110100011…
…1101000000011111000
3102222110010210122200220
41310231013220003320
54023114110303100
6133322254100040
712024216066321
oct1645507500370
9388403718626
10125311025400
1149164897110
12203524aa620
13ba80604252
1460ca84b448
1533d6397aa0
hex1d2d1e80f8

125311025400 has 192 divisors, whose sum is σ = 423979470720. Its totient is φ = 30364070400.

The previous prime is 125311025383. The next prime is 125311025417. The reversal of 125311025400 is 4520113521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125311025383) and next prime (125311025417).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22523019 + ... + 22528581.

It is an arithmetic number, because the mean of its divisors is an integer number (2208226410).

Almost surely, 2125311025400 is an apocalyptic number.

125311025400 is a gapful number since it is divisible by the number (10) 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 125311025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211989735360).

125311025400 is an abundant number, since it is smaller than the sum of its proper divisors (298668445320).

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

125311025400 is a wasteful number, since it uses less digits than its factorization.

125311025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 125311025400 its reverse (4520113521), we get a palindrome (129831138921).

The spelling of 125311025400 in words is "one hundred twenty-five billion, three hundred eleven million, twenty-five thousand, four hundred".