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13302022113000 = 23325317197362683
BaseRepresentation
bin1100000110010001111001…
…0011011000011011101000
31202002122211210101112120200
43001210132103120123220
53220420020130104000
644142510430352200
72542016336245155
oct301443623303350
952078753345520
1013302022113000
1142693a0777465
1215aa03035b660
137564b570449a
1433db6d93b22c
15181039625500
hexc191e4d86e8

13302022113000 has 768 divisors, whose sum is σ = 50798411539200. Its totient is φ = 3119457484800.

The previous prime is 13302022112993. The next prime is 13302022113043. The reversal of 13302022113000 is 31122020331.

13302022113000 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 22 + 11 + 300 + 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 191 ways as a sum of consecutive naturals, for example, 212179659 + ... + 212242341.

It is an arithmetic number, because the mean of its divisors is an integer number (66143765025).

Almost surely, 213302022113000 is an apocalyptic number.

13302022113000 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 13302022113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25399205769600).

13302022113000 is an abundant number, since it is smaller than the sum of its proper divisors (37496389426200).

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

13302022113000 is a wasteful number, since it uses less digits than its factorization.

13302022113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62819 (or 62802 counting only the distinct ones).

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

Adding to 13302022113000 its reverse (31122020331), we get a palindrome (13333144133331).

The spelling of 13302022113000 in words is "thirteen trillion, three hundred two billion, twenty-two million, one hundred thirteen thousand".