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1023103200000 = 28355760899
BaseRepresentation
bin11101110001101011011…
…00111110101100000000
310121210210211011120212010
432320311230332230000
5113230303404400000
62102001312132520
7133626310466160
oct16706554765400
93553724146763
101023103200000
113649940a2012
1214634b237140
137562a84bb9b
143773891a5a0
151b92eb5dd50
hexee35b3eb00

1023103200000 has 432 divisors, whose sum is σ = 3889738540800. Its totient is φ = 233848320000.

The previous prime is 1023103199971. The next prime is 1023103200037. The reversal of 1023103200000 is 23013201.

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 47 ways as a sum of consecutive naturals, for example, 16769551 + ... + 16830449.

It is an arithmetic number, because the mean of its divisors is an integer number (9004024400).

Almost surely, 21023103200000 is an apocalyptic number.

1023103200000 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 1023103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944869270400).

1023103200000 is an abundant number, since it is smaller than the sum of its proper divisors (2866635340800).

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

1023103200000 is an frugal number, since it uses more digits than its factorization.

1023103200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60950 (or 60916 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1023103200000 its reverse (23013201), we get a palindrome (1023126213201).

The spelling of 1023103200000 in words is "one trillion, twenty-three billion, one hundred three million, two hundred thousand".