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1311213122010 = 2325111324457699
BaseRepresentation
bin10011000101001010011…
…001000111000111011010
311122100110200211001220100
4103011022121013013122
5132440331024401020
62442210223440230
7163506040433241
oct23051231070732
94570420731810
101311213122010
1146609a695780
12192156756076
139685422198c
144766a895958
1524193561a90
hex1314a6471da

1311213122010 has 48 divisors (see below), whose sum is σ = 3719077221600. Its totient is φ = 317869847520.

The previous prime is 1311213122003. The next prime is 1311213122053. The reversal of 1311213122010 is 102213121131.

1311213122010 is a `hidden beast` number, since 1 + 31 + 121 + 312 + 201 + 0 = 666.

It is a super-2 number, since 2×13112131220102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662227860 + ... + 662229839.

It is an arithmetic number, because the mean of its divisors is an integer number (77480775450).

Almost surely, 21311213122010 is an apocalyptic number.

1311213122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311213122010 is an abundant number, since it is smaller than the sum of its proper divisors (2407864099590).

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

1311213122010 is a wasteful number, since it uses less digits than its factorization.

1311213122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324457723 (or 1324457720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311213122010 its reverse (102213121131), we get a palindrome (1413426243141).

The spelling of 1311213122010 in words is "one trillion, three hundred eleven billion, two hundred thirteen million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1324457699 2648915398 3973373097 6622288495 7946746194 11920119291 13244576990 14569034689 19866865485 23840238582 29138069378 39733730970 43707104067 59600596455 72845173445 87414208134 119201192910 131121312201 145690346890 218535520335 262242624402 437071040670 655606561005 1311213122010