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11099261142 = 2333144914767
BaseRepresentation
bin10100101011001000…
…10100100011010110
31001122112012212221000
422111210110203112
5140212402324032
65033211404130
7542023106634
oct122544244326
931575185830
1011099261142
1147862751a2
122199153646
13107b66ca58
1477414c354
1544e649e7c
hex2959148d6

11099261142 has 64 divisors (see below), whose sum is σ = 25519104000. Its totient is φ = 3572190720.

The previous prime is 11099261137. The next prime is 11099261143. The reversal of 11099261142 is 24116299011.

It is a happy number.

It is a super-2 number, since 2×110992611422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11099261097 and 11099261106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11099261143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744243 + ... + 759009.

It is an arithmetic number, because the mean of its divisors is an integer number (398736000).

Almost surely, 211099261142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11099261142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759552000).

11099261142 is an abundant number, since it is smaller than the sum of its proper divisors (14419842858).

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

11099261142 is a wasteful number, since it uses less digits than its factorization.

11099261142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15258 (or 15252 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11099261142 in words is "eleven billion, ninety-nine million, two hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 449 558 837 898 1347 1674 2694 4041 8082 12123 13919 14767 24246 27838 29534 41757 44301 83514 88602 125271 132903 250542 265806 375813 398709 457777 751626 797418 915554 1373331 2746662 4119993 6630383 8239986 12359979 13260766 19891149 24719958 39782298 59673447 119346894 179020341 205541873 358040682 411083746 616625619 1233251238 1849876857 3699753714 5549630571 11099261142