Search a number
-
+
125351022420 = 2233513109163819
BaseRepresentation
bin111010010111110000…
…0001100111101010100
3102222112221001201022000
41310233200030331110
54023204330204140
6133330243235300
712025213052601
oct1645740147524
9388487051260
10125351022420
11491854254a8
1220363978b30
13ba88999620
1460d1c9d6a8
1533d9b48a30
hex1d2f80cf54

125351022420 has 192 divisors, whose sum is σ = 423835104000. Its totient is φ = 30572370432.

The previous prime is 125351022383. The next prime is 125351022431. The reversal of 125351022420 is 24220153521.

125351022420 is a `hidden beast` number, since 1 + 2 + 535 + 102 + 2 + 4 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683271 + ... + 847089.

It is an arithmetic number, because the mean of its divisors is an integer number (2207474500).

Almost surely, 2125351022420 is an apocalyptic number.

125351022420 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 125351022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211917552000).

125351022420 is an abundant number, since it is smaller than the sum of its proper divisors (298484081580).

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

125351022420 is a wasteful number, since it uses less digits than its factorization.

125351022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163959 (or 163951 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125351022420 its reverse (24220153521), we get a palindrome (149571175941).

The spelling of 125351022420 in words is "one hundred twenty-five billion, three hundred fifty-one million, twenty-two thousand, four hundred twenty".