1023114000 has 160 divisors (see below), whose sum is σ = 3379783680. Its totient is φ = 266112000.

The previous prime is 1023113989. The next prime is 1023114023. The reversal of 1023114000 is 4113201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243921 + ... + 248079.

It is an arithmetic number, because the mean of its divisors is an integer number (21123648).

Almost surely, 2^1023114000 is an apocalyptic number.

1023114000 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 1023114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689891840).

1023114000 is an abundant number, since it is smaller than the sum of its proper divisors (2356669680).

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

1023114000 is a wasteful number, since it uses less digits than its factorization.

1023114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1023114000 is about 31986.1532541817. The cubic root of 1023114000 is about 1007.6460555003.

Adding to 1023114000 its reverse (4113201), we get a palindrome (1027227201).

The spelling of 1023114000 in words is "one billion, twenty-three million, one hundred fourteen thousand".