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1311433234332 = 2231342191992563
BaseRepresentation
bin10011000101010111100…
…000110001011110011100
311122101001000222221020120
4103011113200301132130
5132441303401444312
62442244125314540
7163514352365154
oct23052740613634
94571030887216
101311433234332
114661a2965391
121921b8405a50
139688a9cb560
144768bbd1764
15241a7a4028c
hex1315783179c

1311433234332 has 48 divisors (see below), whose sum is σ = 3296179071360. Its totient is φ = 403422072768.

The previous prime is 1311433234301. The next prime is 1311433234337. The reversal of 1311433234332 is 2334323341131.

It is a happy number.

It is a super-3 number, since 3×13114332343323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311433234293 and 1311433234302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311433234337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338118 + ... + 1654445.

It is an arithmetic number, because the mean of its divisors is an integer number (68670397320).

Almost surely, 21311433234332 is an apocalyptic number.

1311433234332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311433234332 is an abundant number, since it is smaller than the sum of its proper divisors (1984745837028).

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

1311433234332 is a wasteful number, since it uses less digits than its factorization.

1311433234332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996802 (or 1996800 counting only the distinct ones).

The product of its digits is 46656, while the sum is 33.

Adding to 1311433234332 its reverse (2334323341131), we get a palindrome (3645756575463).

The spelling of 1311433234332 in words is "one trillion, three hundred eleven billion, four hundred thirty-three million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 4219 8438 12657 16876 25314 50628 54847 109694 164541 219388 329082 658164 1992563 3985126 5977689 7970252 11955378 23910756 25903319 51806638 77709957 103613276 155419914 310839828 8406623297 16813246594 25219869891 33626493188 50439739782 100879479564 109286102861 218572205722 327858308583 437144411444 655716617166 1311433234332