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10999152981 = 3211318159753
BaseRepresentation
bin10100011111001100…
…11100000101010101
31001101112211212100100
422033212130011111
5140011240343411
65015234004313
7536366154255
oct121746340525
931345755310
1010999152981
11473480a483
12216b716699
1310639bbc5b
14764b2d965
15445973456
hex28f99c155

10999152981 has 24 divisors (see below), whose sum is σ = 16117087896. Its totient is φ = 7227601920.

The previous prime is 10999152977. The next prime is 10999153001. The reversal of 10999152981 is 18925199901.

10999152981 is a `hidden beast` number, since 109 + 9 + 9 + 1 + 529 + 8 + 1 = 666.

10999152981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 439740900 + 10559412081 = 20970^2 + 102759^2 .

It is not a de Polignac number, because 10999152981 - 22 = 10999152977 is a prime.

It is a super-3 number, since 3×109991529813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10999152971) 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, 154201 + ... + 213953.

It is an arithmetic number, because the mean of its divisors is an integer number (671545329).

Almost surely, 210999152981 is an apocalyptic number.

It is an amenable number.

10999152981 is a deficient number, since it is larger than the sum of its proper divisors (5117934915).

10999152981 is a wasteful number, since it uses less digits than its factorization.

10999152981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60053 (or 60050 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 10999152981 in words is "ten billion, nine hundred ninety-nine million, one hundred fifty-two thousand, nine hundred eighty-one".

Divisors: 1 3 9 113 181 339 543 1017 1629 20453 59753 61359 179259 184077 537777 6752089 10815293 20256267 32445879 60768801 97337637 1222128109 3666384327 10999152981