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1311424133412 = 2238310912079733
BaseRepresentation
bin10011000101010110111…
…110000011100100100100
311122101000101212120010110
4103011112332003210210
5132441244034232122
62442243202253020
7163514212131651
oct23052676034444
94571011776113
101311424133412
11466198809768
121921b5357170
1396888b62cb3
144768a902c28
15241a6d4390c
hex13156f83924

1311424133412 has 48 divisors (see below), whose sum is σ = 3125268780480. Its totient is φ = 427912426368.

The previous prime is 1311424133351. The next prime is 1311424133429. The reversal of 1311424133412 is 2143314241131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311424133412.

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 15 ways as a sum of consecutive naturals, for example, 5931303 + ... + 6148430.

It is an arithmetic number, because the mean of its divisors is an integer number (65109766260).

Almost surely, 21311424133412 is an apocalyptic number.

1311424133412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311424133412 is an abundant number, since it is smaller than the sum of its proper divisors (1813844647068).

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

1311424133412 is a wasteful number, since it uses less digits than its factorization.

1311424133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079932 (or 12079930 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 1311424133412 its reverse (2143314241131), we get a palindrome (3454738374543).

The spelling of 1311424133412 in words is "one trillion, three hundred eleven billion, four hundred twenty-four million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 83 109 166 218 249 327 332 436 498 654 996 1308 9047 18094 27141 36188 54282 108564 12079733 24159466 36239199 48318932 72478398 144956796 1002617839 1316690897 2005235678 2633381794 3007853517 3950072691 4010471356 5266763588 6015707034 7900145382 12031414068 15800290764 109285344451 218570688902 327856033353 437141377804 655712066706 1311424133412