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1023230012000 = 2553737397973
BaseRepresentation
bin11101110001111010100…
…00101110101001100000
310121211010122210022012212
432320331100232221200
5113231033340341000
62102022042141252
7133632410411360
oct16707520565140
93554118708185
101023230012000
11364a49736819
121463857b1828
137564abbc581
143774b6ca9a0
151b93ad5cc35
hexee3d42ea60

1023230012000 has 192 divisors, whose sum is σ = 2880962308224. Its totient is φ = 349877606400.

The previous prime is 1023230011963. The next prime is 1023230012009. The reversal of 1023230012000 is 2100323201.

It is a happy number.

1023230012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023230012009) 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, 10395014 + ... + 10492986.

It is an arithmetic number, because the mean of its divisors is an integer number (15005012022).

Almost surely, 21023230012000 is an apocalyptic number.

1023230012000 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 1023230012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440481154112).

1023230012000 is an abundant number, since it is smaller than the sum of its proper divisors (1857732296224).

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

1023230012000 is an equidigital number, since it uses as much as digits as its factorization.

1023230012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98378 (or 98360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1023230012000 its reverse (2100323201), we get a palindrome (1025330335201).

The spelling of 1023230012000 in words is "one trillion, twenty-three billion, two hundred thirty million, twelve thousand".