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1213223301000 = 23325310310912007
BaseRepresentation
bin10001101001111001101…
…111100110111110001000
311021222112121200101211100
4101221321233212332020
5124334140131113000
62325202545501400
7153436542623004
oct21517157467610
94258477611740
101213223301000
11428585a19927
1217716a041860
138a539011779
1442a127bd704
152185aa4aa00
hex11a79be6f88

1213223301000 has 384 divisors, whose sum is σ = 4178841638400. Its totient is φ = 317419430400.

The previous prime is 1213223300999. The next prime is 1213223301013. The reversal of 1213223301000 is 1033223121.

1213223301000 is a `hidden beast` number, since 1 + 2 + 1 + 322 + 330 + 10 + 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 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, 101036997 + ... + 101049003.

It is an arithmetic number, because the mean of its divisors is an integer number (10882400100).

Almost surely, 21213223301000 is an apocalyptic number.

1213223301000 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 1213223301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089420819200).

1213223301000 is an abundant number, since it is smaller than the sum of its proper divisors (2965618337400).

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

1213223301000 is a wasteful number, since it uses less digits than its factorization.

1213223301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12229 counting only the distinct ones).

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

Adding to 1213223301000 its reverse (1033223121), we get a palindrome (1214256524121).

The spelling of 1213223301000 in words is "one trillion, two hundred thirteen billion, two hundred twenty-three million, three hundred one thousand".