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13230013302000 = 24325311190135149
BaseRepresentation
bin1100000010000101101000…
…1111100100010011110000
31201211202222101002221001200
43000201122033210103300
53213230031401131000
644045441215531200
72533560030405525
oct300413217442360
951752871087050
1013230013302000
1142408a966aa10
121598094829b00
1374c77b049191
1433a49c21514c
1517e2229b1500
hexc085a3e44f0

13230013302000 has 480 divisors, whose sum is σ = 50436708004800. Its totient is φ = 3205497600000.

The previous prime is 13230013301983. The next prime is 13230013302043. The reversal of 13230013302000 is 20331003231.

13230013302000 is a `hidden beast` number, since 1 + 32 + 300 + 1 + 330 + 2 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376380426 + ... + 376415574.

It is an arithmetic number, because the mean of its divisors is an integer number (105076475010).

Almost surely, 213230013302000 is an apocalyptic number.

13230013302000 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 13230013302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218354002400).

13230013302000 is an abundant number, since it is smaller than the sum of its proper divisors (37206694702800).

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

13230013302000 is a wasteful number, since it uses less digits than its factorization.

13230013302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37090 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13230013302000 its reverse (20331003231), we get a palindrome (13250344305231).

The spelling of 13230013302000 in words is "thirteen trillion, two hundred thirty billion, thirteen million, three hundred two thousand".