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1024230112000 = 2853192373243
BaseRepresentation
bin11101110011110001101…
…11110011101100000000
310121220201100122122111121
432321320313303230000
5113240110402041000
62102305205522024
7133666243206664
oct16717067635400
93556640578447
101024230112000
11365412218747
12146604713314
137577a163114
14378044628a4
151b998a5db1a
hexee78df3b00

1024230112000 has 288 divisors, whose sum is σ = 2802584977920. Its totient is φ = 371249049600.

The previous prime is 1024230111911. The next prime is 1024230112001. The reversal of 1024230112000 is 2110324201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1024230112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13947379 + ... + 14020621.

It is an arithmetic number, because the mean of its divisors is an integer number (9731197840).

Almost surely, 21024230112000 is an apocalyptic number.

1024230112000 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 1024230112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401292488960).

1024230112000 is an abundant number, since it is smaller than the sum of its proper divisors (1778354865920).

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

1024230112000 is an equidigital number, since it uses as much as digits as its factorization.

1024230112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73316 (or 73292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1024230112000 its reverse (2110324201), we get a palindrome (1026340436201).

The spelling of 1024230112000 in words is "one trillion, twenty-four billion, two hundred thirty million, one hundred twelve thousand".