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13023103311000 = 2332537918316601
BaseRepresentation
bin1011110110000010110101…
…1100100101110010011000
31201002222220110110022220200
42331200231130211302120
53201332303421423000
643410421524422200
72512613432453256
oct275405534456230
951088813408820
1013023103311000
114171081342252
121563b6ab47960
137360c527a143
143304705275d6
15178b62aa2500
hexbd82d725c98

13023103311000 has 192 divisors, whose sum is σ = 44575282627200. Its totient is φ = 3428867520000.

The previous prime is 13023103310981. The next prime is 13023103311059. The reversal of 13023103311000 is 11330132031.

It is a happy number.

13023103311000 is a `hidden beast` number, since 1 + 3 + 0 + 231 + 0 + 331 + 100 + 0 = 666.

13023103311000 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 (18).

It is a congruent number.

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, 8447301 + ... + 9869300.

It is an arithmetic number, because the mean of its divisors is an integer number (232162930350).

Almost surely, 213023103311000 is an apocalyptic number.

13023103311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023103311000 is an abundant number, since it is smaller than the sum of its proper divisors (31552179316200).

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

13023103311000 is a wasteful number, since it uses less digits than its factorization.

13023103311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316707 (or 18316690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13023103311000 its reverse (11330132031), we get a palindrome (13034433443031).

The spelling of 13023103311000 in words is "thirteen trillion, twenty-three billion, one hundred three million, three hundred eleven thousand".