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99010000116 = 223261241187081
BaseRepresentation
bin101110000110101110…
…1001011010011110100
3100110120011210010201100
41130031131023103310
53110233030000431
6113252355530100
710103363054316
oct1341535132364
9313504703640
1099010000116
1138a98622585
12172322b9930
13944b6941b1
144b137977b6
1528973814e6
hex170d74b4f4

99010000116 has 72 divisors (see below), whose sum is σ = 255435027848. Its totient is φ = 32327424000.

The previous prime is 99010000097. The next prime is 99010000123. The reversal of 99010000116 is 61100001099.

It can be written as a sum of positive squares in 4 ways, for example, as 1478710116 + 97531290000 = 38454^2 + 312300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99010000116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435696 + ... + 622776.

Almost surely, 299010000116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99010000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127717513924).

99010000116 is an abundant number, since it is smaller than the sum of its proper divisors (156425027732).

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

99010000116 is a wasteful number, since it uses less digits than its factorization.

99010000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187393 (or 187388 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 99010000116 in words is "ninety-nine billion, ten million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 241 244 366 482 549 723 732 964 1098 1446 2169 2196 2892 4338 8676 14701 29402 44103 58804 88206 132309 176412 187081 264618 374162 529236 561243 748324 1122486 1683729 2244972 3367458 6734916 11411941 22823882 34235823 45086521 45647764 68471646 90173042 102707469 135259563 136943292 180346084 205414938 270519126 405778689 410829876 541038252 811557378 1623114756 2750277781 5500555562 8250833343 11001111124 16501666686 24752500029 33003333372 49505000058 99010000116