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125252211400 = 2352626261057
BaseRepresentation
bin111010010100110011…
…1010001001011001000
3102222022001010121001121
41310221213101023020
54023004031231100
6133312353325024
712022603142041
oct1645147211310
9388261117047
10125252211400
11491346762a8
1220336866774
13ba71381074
1460c2adb8c8
1533d112b51a
hex1d299d12c8

125252211400 has 24 divisors (see below), whose sum is σ = 291211391970. Its totient is φ = 50100884480.

The previous prime is 125252211391. The next prime is 125252211419. The reversal of 125252211400 is 4112252521.

125252211400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 57284592964 + 67967618436 = 239342^2 + 260706^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313130329 + ... + 313130728.

Almost surely, 2125252211400 is an apocalyptic number.

125252211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125252211400 is an abundant number, since it is smaller than the sum of its proper divisors (165959180570).

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

125252211400 is a wasteful number, since it uses less digits than its factorization.

125252211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626261073 (or 626261064 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 125252211400 its reverse (4112252521), we get a palindrome (129364463921).

The spelling of 125252211400 in words is "one hundred twenty-five billion, two hundred fifty-two million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 626261057 1252522114 2505044228 3131305285 5010088456 6262610570 12525221140 15656526425 25050442280 31313052850 62626105700 125252211400