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1310335221132 = 223373791151421
BaseRepresentation
bin10011000100010110000…
…100001011110110001100
311122021012111220002022000
4103010112010023312030
5132432031304034012
62441543143152300
7163445220415410
oct23042604136614
94567174802260
101310335221132
1146578a087863
12191b50745690
1396744394cc2
14475c604cd40
152414144cddc
hex1311610bd8c

1310335221132 has 192 divisors, whose sum is σ = 3991861063680. Its totient is φ = 363856147200.

The previous prime is 1310335221101. The next prime is 1310335221161. The reversal of 1310335221132 is 2311225330131.

1310335221132 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 3 + 522 + 1 + 132 = 666.

It is a super-2 number, since 2×13103352211322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1310335221096 and 1310335221105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25456782 + ... + 25508202.

It is an arithmetic number, because the mean of its divisors is an integer number (20790943040).

Almost surely, 21310335221132 is an apocalyptic number.

1310335221132 is a gapful number since it is divisible by the number (12) 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 1310335221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995930531840).

1310335221132 is an abundant number, since it is smaller than the sum of its proper divisors (2681525842548).

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

1310335221132 is a wasteful number, since it uses less digits than its factorization.

1310335221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52389 (or 52381 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1310335221132 in words is "one trillion, three hundred ten billion, three hundred thirty-five million, two hundred twenty-one thousand, one hundred thirty-two".