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2012401314 = 2337113791277
BaseRepresentation
bin111011111110010…
…1100111010100010
312012020200120122000
41313330230322202
513110133320224
6531404424430
7100604062140
oct16774547242
95166616560
102012401314
11942a47990
12481b48116
13260bc9c11
141513a6590
15bba120c9
hex77f2cea2

2012401314 has 128 divisors (see below), whose sum is σ = 5594572800. Its totient is φ = 520914240.

The previous prime is 2012401309. The next prime is 2012401409. The reversal of 2012401314 is 4131042102.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575244 + ... + 1576520.

It is an arithmetic number, because the mean of its divisors is an integer number (43707600).

Almost surely, 22012401314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012401314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797286400).

2012401314 is an abundant number, since it is smaller than the sum of its proper divisors (3582171486).

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

2012401314 is a wasteful number, since it uses less digits than its factorization.

2012401314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012401314 is about 44859.7961876779. The cubic root of 2012401314 is about 1262.5197987158.

Adding to 2012401314 its reverse (4131042102), we get a palindrome (6143443416).

The spelling of 2012401314 in words is "two billion, twelve million, four hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 379 462 594 693 758 1137 1277 1386 2079 2274 2554 2653 3411 3831 4158 4169 5306 6822 7662 7959 8338 8939 10233 11493 12507 14047 15918 17878 20466 22986 23877 25014 26817 28094 29183 34479 37521 42141 47754 53634 58366 68958 71631 75042 80451 84282 87549 98329 112563 126423 143262 160902 175098 196658 225126 241353 252846 262647 294987 379269 482706 483983 525294 589974 758538 787941 884961 967966 1451949 1575882 1769922 2654883 2903898 3387881 4355847 5309766 5323813 6775762 8711694 10163643 10647626 13067541 15971439 20327286 26135082 30490929 31942878 37266691 47914317 60981858 74533382 91472787 95828634 111800073 143742951 182945574 223600146 287485902 335400219 670800438 1006200657 2012401314