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1023201202320 = 2432511298235413
BaseRepresentation
bin11101110001110111000…
…10110101000010010000
310121211001122120121202200
432320323202311002100
5113231004001433240
62102015132443200
7133631610501213
oct16707342650220
93554048517680
101023201202320
11364a34449670
12146378019500
1375644c4331b
143774794b77a
151b93856b930
hexee3b8b5090

1023201202320 has 480 divisors, whose sum is σ = 3883329665280. Its totient is φ = 239160176640.

The previous prime is 1023201202297. The next prime is 1023201202333. The reversal of 1023201202320 is 232021023201.

1023201202320 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 1 + 20 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023201202293 and 1023201202302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189023934 + ... + 189029346.

It is an arithmetic number, because the mean of its divisors is an integer number (8090270136).

Almost surely, 21023201202320 is an apocalyptic number.

1023201202320 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 1023201202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941664832640).

1023201202320 is an abundant number, since it is smaller than the sum of its proper divisors (2860128462960).

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

1023201202320 is a wasteful number, since it uses less digits than its factorization.

1023201202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023201202320 its reverse (232021023201), we get a palindrome (1255222225521).

The spelling of 1023201202320 in words is "one trillion, twenty-three billion, two hundred one million, two hundred two thousand, three hundred twenty".