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1311232120002 = 2327233712228677
BaseRepresentation
bin10011000101001011100…
…001100101010011000010
311122100112000120021020200
4103011023201211103002
5132440400410320002
62442212142550030
7163506361060050
oct23051341452302
94570460507220
101311232120002
114660aa3911a2
12192160b98316
1396858143cac
144766d1dd1d0
1524195065b1c
hex1314b8654c2

1311232120002 has 96 divisors (see below), whose sum is σ = 3479596952832. Its totient is φ = 348664010112.

The previous prime is 1311232119997. The next prime is 1311232120021. The reversal of 1311232120002 is 2000212321131.

1311232120002 is a `hidden beast` number, since 1 + 311 + 232 + 120 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6007113 + ... + 6221564.

It is an arithmetic number, because the mean of its divisors is an integer number (36245801592).

Almost surely, 21311232120002 is an apocalyptic number.

1311232120002 is an abundant number, since it is smaller than the sum of its proper divisors (2168364832830).

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

1311232120002 is a wasteful number, since it uses less digits than its factorization.

1311232120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228752 (or 12228749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1311232120002 its reverse (2000212321131), we get a palindrome (3311444441133).

The spelling of 1311232120002 in words is "one trillion, three hundred eleven billion, two hundred thirty-two million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 63 69 74 111 126 138 161 207 222 259 322 333 414 483 518 666 777 851 966 1449 1554 1702 2331 2553 2898 4662 5106 5957 7659 11914 15318 17871 35742 53613 107226 12228677 24457354 36686031 73372062 85600739 110058093 171201478 220116186 256802217 281259571 452461049 513604434 562519142 770406651 843778713 904922098 1357383147 1540813302 1687557426 1968816997 2531336139 2714766294 3167227343 3937633994 4072149441 5062672278 5906450991 6334454686 8144298882 9501682029 10406604127 11812901982 17719352973 19003364058 20813208254 28505046087 31219812381 35438705946 57010092174 62439624762 72846228889 93659437143 145692457778 187318874286 218538686667 437077373334 655616060001 1311232120002