10283401200 has 360 divisors, whose sum is σ = 35314489728. Its totient is φ = 2552732160.

The previous prime is 10283401199. The next prime is 10283401243. The reversal of 10283401200 is 210438201.

It is a super-2 number, since 2×10283401200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123896359 + ... + 123896441.

Almost surely, 2^10283401200 is an apocalyptic number.

10283401200 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 10283401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657244864).

10283401200 is an abundant number, since it is smaller than the sum of its proper divisors (25031088528).

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

10283401200 is a wasteful number, since it uses less digits than its factorization.

10283401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10283401200 its reverse (210438201), we get a palindrome (10493839401).

The spelling of 10283401200 in words is "ten billion, two hundred eighty-three million, four hundred one thousand, two hundred".