10233144243400 has 48 divisors (see below), whose sum is σ = 25622218862100. Its totient is φ = 3778391719680.

The previous prime is 10233144243397. The next prime is 10233144243419. The reversal of 10233144243400 is 434244133201.

It can be written as a sum of positive squares in 6 ways, for example, as 4111250974884 + 6121893268516 = 2027622^2 + 2474246^2 .

It is a super-2 number, since 2×10233144243400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1967909755 + ... + 1967914954.

Almost surely, 2^{10233144243400} is an apocalyptic number.

10233144243400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233144243400 is an abundant number, since it is smaller than the sum of its proper divisors (15389074618700).

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

10233144243400 is a wasteful number, since it uses less digits than its factorization.

10233144243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935824738 (or 3935824729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 10233144243400 its reverse (434244133201), we get a palindrome (10667388376601).

The spelling of 10233144243400 in words is "ten trillion, two hundred thirty-three billion, one hundred forty-four million, two hundred forty-three thousand, four hundred".