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13223320110000 = 24325471113373967
BaseRepresentation
bin1100000001101100101101…
…0011000100001110110000
31201211010200220200112201200
43000123023103010032300
53213122324422010000
644042413121331200
72533232125252320
oct300331323041660
951733626615650
1013223320110000
114238a8451a780
121596927196b00
1374bc52485a40
1433a025321280
1517de8009d500
hexc06cb4c43b0

13223320110000 has 2400 divisors, whose sum is σ = 63783832240128. Its totient is φ = 2467169280000.

The previous prime is 13223320109917. The next prime is 13223320110043. The reversal of 13223320110000 is 1102332231.

13223320110000 is a `hidden beast` number, since 1 + 322 + 332 + 0 + 1 + 10 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3333328017 + ... + 3333331983.

Almost surely, 213223320110000 is an apocalyptic number.

13223320110000 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 13223320110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891916120064).

13223320110000 is an abundant number, since it is smaller than the sum of its proper divisors (50560512130128).

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

13223320110000 is a wasteful number, since it uses less digits than its factorization.

13223320110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13223320110000 its reverse (1102332231), we get a palindrome (13224422442231).

The spelling of 13223320110000 in words is "thirteen trillion, two hundred twenty-three billion, three hundred twenty million, one hundred ten thousand".