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125214300 = 223252232263
BaseRepresentation
bin1110111011010…
…01111001011100
322201121112201200
413131221321130
5224023324200
620231435500
73050206161
oct735517134
9281545650
10125214300
11647533a2
1235b25b90
131cc31403
14128b6068
15aed5800
hex7769e5c

125214300 has 162 divisors, whose sum is σ = 411843432. Its totient is φ = 31817280.

The previous prime is 125214281. The next prime is 125214307. The reversal of 125214300 is 3412521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125214307) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 475969 + ... + 476231.

Almost surely, 2125214300 is an apocalyptic number.

125214300 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 125214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205921716).

125214300 is an abundant number, since it is smaller than the sum of its proper divisors (286629132).

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

125214300 is a wasteful number, since it uses less digits than its factorization.

125214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125214300 is about 11189.9195707565. The cubic root of 125214300 is about 500.2855702016.

Adding to 125214300 its reverse (3412521), we get a palindrome (128626821).

The spelling of 125214300 in words is "one hundred twenty-five million, two hundred fourteen thousand, three hundred".