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1311411214212 = 22311271172321277
BaseRepresentation
bin10011000101010110001…
…100110001011110000100
311122100222111120012022120
4103011112030301132010
5132441232232323322
62442242021325540
7163513664253441
oct23052614613604
94570874505276
101311411214212
11466191495340
121921b0b668b0
139688628b7b8
1447688cdc9c8
15241a5b40a5c
hex13156331784

1311411214212 has 96 divisors (see below), whose sum is σ = 3352557594624. Its totient is φ = 395682537600.

The previous prime is 1311411214189. The next prime is 1311411214273. The reversal of 1311411214212 is 2124121141131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61624518 + ... + 61645794.

It is an arithmetic number, because the mean of its divisors is an integer number (34922474944).

Almost surely, 21311411214212 is an apocalyptic number.

1311411214212 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 1311411214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676278797312).

1311411214212 is an abundant number, since it is smaller than the sum of its proper divisors (2041146380412).

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

1311411214212 is a wasteful number, since it uses less digits than its factorization.

1311411214212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23289 (or 23287 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 1311411214212 its reverse (2124121141131), we get a palindrome (3435532355343).

The spelling of 1311411214212 in words is "one trillion, three hundred eleven billion, four hundred eleven million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 542 813 1084 1626 1723 2981 3252 3446 5169 5962 6892 8943 10338 11924 17886 18953 20676 21277 35772 37906 42554 56859 63831 75812 85108 113718 127662 227436 234047 255324 466933 468094 702141 933866 936188 1400799 1404282 1867732 2801598 2808564 5136263 5603196 5766067 10272526 11532134 15408789 17298201 20545052 23064268 30817578 34596402 36660271 61635156 63426737 69192804 73320542 109980813 126853474 146641084 190280211 219961626 253706948 380560422 403262981 439923252 761120844 806525962 1209788943 1613051924 2419577886 4839155772 9934933441 19869866882 29804800323 39739733764 59609600646 109284267851 119219201292 218568535702 327852803553 437137071404 655705607106 1311411214212