Search a number
-
+
9991111212 = 22365958073
BaseRepresentation
bin10010100111000010…
…00100001000101100
3221210022001001000000
421103201010020230
5130430211024322
64331224104300
7502406021055
oct112341041054
927708031000
109991111212
1142677a3805
121b2a005090
13c32bc7634
146aaccb72c
153d72043ac
hex25384422c

9991111212 has 84 divisors (see below), whose sum is σ = 26659450440. Its totient is φ = 3273867072.

The previous prime is 9991111187. The next prime is 9991111223. The reversal of 9991111212 is 2121111999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 143008 + ... + 201080.

It is an arithmetic number, because the mean of its divisors is an integer number (317374410).

Almost surely, 29991111212 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 9991111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329725220).

9991111212 is an abundant number, since it is smaller than the sum of its proper divisors (16668339228).

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

9991111212 is a wasteful number, since it uses less digits than its factorization.

9991111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58154 (or 58137 counting only the distinct ones).

The product of its digits is 2916, while the sum is 36.

The square root of 9991111212 is about 99955.5461792891. The cubic root of 9991111212 is about 2153.7961570277.

The spelling of 9991111212 in words is "nine billion, nine hundred ninety-one million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2916 3186 4779 6372 9558 14337 19116 28674 43011 57348 58073 86022 116146 172044 174219 232292 348438 522657 696876 1045314 1567971 2090628 3135942 3426307 4703913 6271884 6852614 9407826 10278921 13705228 14111739 18815652 20557842 28223478 30836763 41115684 42335217 56446956 61673526 84670434 92510289 123347052 169340868 185020578 277530867 370041156 555061734 832592601 1110123468 1665185202 2497777803 3330370404 4995555606 9991111212