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1311104442120 = 233511993260941
BaseRepresentation
bin10011000101000011111…
…010100001111100001000
311122100012010022120010020
4103011003322201330020
5132440120214121440
62442151342220440
7163503250610244
oct23050372417410
94570163276106
101311104442120
11466044305990
12192126284720
139683785c455
144765a285424
1524188c453d0
hex13143ea1f08

1311104442120 has 64 divisors (see below), whose sum is σ = 4290887269440. Its totient is φ = 317843500800.

The previous prime is 1311104442083. The next prime is 1311104442143. The reversal of 1311104442120 is 212444011131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496629151 + ... + 496631790.

It is an arithmetic number, because the mean of its divisors is an integer number (67045113585).

Almost surely, 21311104442120 is an apocalyptic number.

1311104442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311104442120 is an abundant number, since it is smaller than the sum of its proper divisors (2979782827320).

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

1311104442120 is a wasteful number, since it uses less digits than its factorization.

1311104442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993260966 (or 993260962 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1311104442120 its reverse (212444011131), we get a palindrome (1523548453251).

The spelling of 1311104442120 in words is "one trillion, three hundred eleven billion, one hundred four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 993260941 1986521882 2979782823 3973043764 4966304705 5959565646 7946087528 9932609410 10925870351 11919131292 14898914115 19865218820 21851740702 23838262584 29797828230 32777611053 39730437640 43703481404 54629351755 59595656460 65555222106 87406962808 109258703510 119191312920 131110444212 163888055265 218517407020 262220888424 327776110530 437034814040 655552221060 1311104442120