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1320231022110 = 23257111361793041
BaseRepresentation
bin10011001101100011111…
…001101010111000011110
311200012202011120212020100
4103031203321222320132
5133112313120201420
62450301124401530
7164245361346210
oct23154371527036
94605664525210
101320231022110
114699a7aa2580
12193a528462a6
13976605cb640
1447c8440a5b0
15245200c7190
hex13363e6ae1e

1320231022110 has 768 divisors, whose sum is σ = 4745216286720. Its totient is φ = 245846016000.

The previous prime is 1320231022087. The next prime is 1320231022127. The reversal of 1320231022110 is 112201320231.

1320231022110 is a `hidden beast` number, since 1 + 320 + 2 + 310 + 2 + 21 + 10 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 434142190 + ... + 434145230.

It is an arithmetic number, because the mean of its divisors is an integer number (6178667040).

Almost surely, 21320231022110 is an apocalyptic number.

1320231022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320231022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372608143360).

1320231022110 is an abundant number, since it is smaller than the sum of its proper divisors (3424985264610).

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

1320231022110 is a wasteful number, since it uses less digits than its factorization.

1320231022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320231022110 its reverse (112201320231), we get a palindrome (1432432342341).

The spelling of 1320231022110 in words is "one trillion, three hundred twenty billion, two hundred thirty-one million, twenty-two thousand, one hundred ten".