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13023002223000 = 23325371118792211
BaseRepresentation
bin1011110110000010011101…
…1010111110000110011000
31201002222122102020112020200
42331200213122332012120
53201332102032114000
643410403514022200
72512611064310130
oct275404732760630
951088572215220
1013023002223000
11417102a278350
121563b41117960
137360aa345363
14330460d31ac0
15178b58c85500
hexbd8276be198

13023002223000 has 384 divisors, whose sum is σ = 54879272547840. Its totient is φ = 2706078240000.

The previous prime is 13023002222939. The next prime is 13023002223029. The reversal of 13023002223000 is 32220032031.

It is a happy number.

13023002223000 is a `hidden beast` number, since 130 + 2 + 300 + 2 + 2 + 230 + 0 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8703106 + ... + 10089105.

It is an arithmetic number, because the mean of its divisors is an integer number (142914772260).

Almost surely, 213023002223000 is an apocalyptic number.

13023002223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023002223000 is an abundant number, since it is smaller than the sum of its proper divisors (41856270324840).

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

13023002223000 is a wasteful number, since it uses less digits than its factorization.

13023002223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792256 (or 18792239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13023002223000 its reverse (32220032031), we get a palindrome (13055222255031).

The spelling of 13023002223000 in words is "thirteen trillion, twenty-three billion, two million, two hundred twenty-three thousand".