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1023204101412 = 22323711372571483
BaseRepresentation
bin11101110001110111011…
…01111000110100100100
310121211001212000220120110
432320323231320310210
5113231010222221122
62102015314533020
7133631644234323
oct16707355706444
93554055026513
101023204101412
11364a36049809
12146378b97170
1375645719a6c
14377480a40ba
151b93894090c
hexee3bb78d24

1023204101412 has 192 divisors, whose sum is σ = 2556433281024. Its totient is φ = 317839441920.

The previous prime is 1023204101393. The next prime is 1023204101459. The reversal of 1023204101412 is 2141014023201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689954823 + ... + 689956305.

It is an arithmetic number, because the mean of its divisors is an integer number (13314756672).

Almost surely, 21023204101412 is an apocalyptic number.

1023204101412 is a gapful number since it is divisible by the number (12) 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 1023204101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278216640512).

1023204101412 is an abundant number, since it is smaller than the sum of its proper divisors (1533229179612).

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

1023204101412 is a wasteful number, since it uses less digits than its factorization.

1023204101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1976 counting only the distinct ones).

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

Adding to 1023204101412 its reverse (2141014023201), we get a palindrome (3164218124613).

The spelling of 1023204101412 in words is "one trillion, twenty-three billion, two hundred four million, one hundred one thousand, four hundred twelve".