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1030240125200 = 2452112131637381
BaseRepresentation
bin11101111110111110001…
…10001100000100010000
310122111020012112221201002
432333133012030010100
5113334412433001300
62105141421201132
7134301211401236
oct16773706140420
93574205487632
101030240125200
11367a16768600
121478014001a8
13761c7326750
1437c1471a956
151bbeb4c35d5
hexefdf18c110

1030240125200 has 180 divisors, whose sum is σ = 2929901877924. Its totient is φ = 345814656000.

The previous prime is 1030240125199. The next prime is 1030240125209. The reversal of 1030240125200 is 25210420301.

1030240125200 is digitally balanced in base 2, 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 6 ways, for example, as 315363111184 + 714877014016 = 561572^2 + 845504^2 .

It is a super-2 number, since 2×10302401252002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1030240125209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189491 + ... + 1447890.

Almost surely, 21030240125200 is an apocalyptic number.

1030240125200 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 1030240125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464950938962).

1030240125200 is an abundant number, since it is smaller than the sum of its proper divisors (1899661752724).

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

1030240125200 is a wasteful number, since it uses less digits than its factorization.

1030240125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637434 (or 1637412 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1030240125200 its reverse (25210420301), we get a palindrome (1055450545501).

The spelling of 1030240125200 in words is "one trillion, thirty billion, two hundred forty million, one hundred twenty-five thousand, two hundred".