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116302200132 = 223191017276947
BaseRepresentation
bin110110001010000100…
…1101011110101000100
3102010012022002220200210
41230110021223311010
53401141330401012
6125232315435420
711255035250526
oct1542411536504
9363168086623
10116302200132
1145361618378
121a659455b70
13ac76084001
1458b41b9a16
15305a52623c
hex1b1426bd44

116302200132 has 96 divisors (see below), whose sum is σ = 288921185280. Its totient is φ = 36308131200.

The previous prime is 116302200121. The next prime is 116302200137. The reversal of 116302200132 is 231002203611.

It is a junction number, because it is equal to n+sod(n) for n = 116302200099 and 116302200108.

It is not an unprimeable number, because it can be changed into a prime (116302200137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16737883 + ... + 16744829.

It is an arithmetic number, because the mean of its divisors is an integer number (3009595680).

Almost surely, 2116302200132 is an apocalyptic number.

116302200132 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 116302200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460592640).

116302200132 is an abundant number, since it is smaller than the sum of its proper divisors (172618985148).

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

116302200132 is a wasteful number, since it uses less digits than its factorization.

116302200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 116302200132 its reverse (231002203611), we get a palindrome (347304403743).

The spelling of 116302200132 in words is "one hundred sixteen billion, three hundred two million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 727 1212 1454 1919 2181 2908 3838 4362 5757 6947 7676 8724 11514 13813 13894 20841 23028 27626 27788 41439 41682 55252 73427 82878 83364 131993 146854 165756 220281 263986 293708 395979 440562 527972 701647 791958 881124 1395113 1403294 1583916 2104941 2790226 2806588 4185339 4209882 5050469 5580452 8370678 8419764 10100938 13331293 15151407 16741356 20201876 26662586 30302814 39993879 53325172 60605628 79987758 95958911 159975516 191917822 287876733 383835644 510097369 575753466 1020194738 1151506932 1530292107 2040389476 3060584214 6121168428 9691850011 19383700022 29075550033 38767400044 58151100066 116302200132