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9121109116 = 2272294139139
BaseRepresentation
bin10000111111010100…
…10001010001111100
3212112122222100111011
420133222101101330
5122140000442431
64105025005004
7442013101600
oct103752212174
925478870434
109121109116
1139606a0309
121926783764
13b248a4cb2
1462753d500
15385b50cb1
hex21fa9147c

9121109116 has 72 divisors (see below), whose sum is σ = 19677243600. Its totient is φ = 3682103040.

The previous prime is 9121109113. The next prime is 9121109167. The reversal of 9121109116 is 6119011219.

9121109116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9121109113) 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 23 ways as a sum of consecutive naturals, for example, 213475 + ... + 252613.

It is an arithmetic number, because the mean of its divisors is an integer number (273295050).

Almost surely, 29121109116 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 9121109116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838621800).

9121109116 is an abundant number, since it is smaller than the sum of its proper divisors (10556134484).

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

9121109116 is a wasteful number, since it uses less digits than its factorization.

9121109116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39227 (or 39218 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 31.

The square root of 9121109116 is about 95504.4978836076. The cubic root of 9121109116 is about 2089.3725454815.

The spelling of 9121109116 in words is "nine billion, one hundred twenty-one million, one hundred nine thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 29 41 49 58 82 98 116 164 196 203 287 406 574 812 1148 1189 1421 2009 2378 2842 4018 4756 5684 8036 8323 16646 33292 39139 58261 78278 116522 156556 233044 273973 547946 1095892 1135031 1604699 1917811 2270062 3209398 3835622 4540124 6418796 7671244 7945217 11232893 15890434 22465786 31780868 44931572 46536271 55616519 78630251 93072542 111233038 157260502 186145084 222466076 314521004 325753897 651507794 1303015588 2280277279 4560554558 9121109116