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1311202212320 = 2557112132332359
BaseRepresentation
bin10011000101001001101…
…111011111100111100000
311122100102221021210121202
4103011021233133213200
5132440320231243240
62442205153540332
7163505545624460
oct23051157374740
94570387253552
101311202212320
11466094514100
12192152b746a8
1396851ba2040
1447669255ba0
1524192609315
hex13149bdf9e0

1311202212320 has 576 divisors, whose sum is σ = 4373017528320. Its totient is φ = 360835706880.

The previous prime is 1311202212311. The next prime is 1311202212367. The reversal of 1311202212320 is 232122021131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1311202212292 and 1311202212301.

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, 40504301 + ... + 40536659.

It is an arithmetic number, because the mean of its divisors is an integer number (7592044320).

Almost surely, 21311202212320 is an apocalyptic number.

1311202212320 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 1311202212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186508764160).

1311202212320 is an abundant number, since it is smaller than the sum of its proper divisors (3061815316000).

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

1311202212320 is a wasteful number, since it uses less digits than its factorization.

1311202212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32439 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311202212320 its reverse (232122021131), we get a palindrome (1543324233451).

The spelling of 1311202212320 in words is "one trillion, three hundred eleven billion, two hundred two million, two hundred twelve thousand, three hundred twenty".