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1200031014 = 237134379647
BaseRepresentation
bin100011110000111…
…0000010100100110
310002122001220002010
41013201300110212
54424201443024
6315024455050
741511044460
oct10741602446
93078056063
101200031014
11566428076
12295a7a486
13161805630
14b553b130
1570544b29
hex47870526

1200031014 has 128 divisors (see below), whose sum is σ = 3065610240. Its totient is φ = 304746624.

The previous prime is 1200030983. The next prime is 1200031043. The reversal of 1200031014 is 4101300021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1854439 + ... + 1855085.

It is an arithmetic number, because the mean of its divisors is an integer number (23950080).

Almost surely, 21200031014 is an apocalyptic number.

1200031014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200031014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532805120).

1200031014 is an abundant number, since it is smaller than the sum of its proper divisors (1865579226).

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

1200031014 is a wasteful number, since it uses less digits than its factorization.

1200031014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1200031014 is about 34641.4637970164. The cubic root of 1200031014 is about 1062.6677239073.

Adding to 1200031014 its reverse (4101300021), we get a palindrome (5301331035).

The spelling of 1200031014 in words is "one billion, two hundred million, thirty-one thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 79 86 91 129 158 182 237 258 273 301 474 546 553 559 602 647 903 1027 1106 1118 1294 1659 1677 1806 1941 2054 3081 3318 3354 3397 3882 3913 4529 6162 6794 7189 7826 8411 9058 10191 11739 13587 14378 16822 20382 21567 23478 23779 25233 27174 27821 43134 44161 47558 50466 51113 55642 58877 71337 83463 88322 102226 117754 132483 142674 153339 166926 176631 194747 264966 306678 309127 353262 357791 361673 389494 584241 618254 664469 715582 723346 927381 1073373 1085019 1168482 1328938 1854762 1993407 2146746 2170038 2197859 2531711 3986814 4395718 4651283 5063422 6593577 7595133 9302566 13187154 13953849 15190266 15385013 27907698 28572167 30770026 46155039 57144334 85716501 92310078 171433002 200005169 400010338 600015507 1200031014