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11013233166 = 23213316124889
BaseRepresentation
bin10100100000111000…
…01001101000001110
31001102112100012201200
422100130021220032
5140023341430131
65020455450330
7536626636335
oct122034115016
931375305650
1011013233166
1147417570a1
1221743869a6
1310668aba20
14766956d1c
15446d052e6
hex290709a0e

11013233166 has 96 divisors (see below), whose sum is σ = 26962440960. Its totient is φ = 3225484800.

The previous prime is 11013233149. The next prime is 11013233167. The reversal of 11013233166 is 66133231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013233167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430050 + ... + 454938.

It is an arithmetic number, because the mean of its divisors is an integer number (280858760).

Almost surely, 211013233166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013233166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481220480).

11013233166 is an abundant number, since it is smaller than the sum of its proper divisors (15949207794).

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

11013233166 is a wasteful number, since it uses less digits than its factorization.

11013233166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 11013233166 its reverse (66133231011), we get a palindrome (77146464177).

The spelling of 11013233166 in words is "eleven billion, thirteen million, two hundred thirty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 61 62 78 93 117 122 183 186 234 279 366 403 549 558 793 806 1098 1209 1586 1891 2379 2418 3627 3782 4758 5673 7137 7254 11346 14274 17019 24583 24889 34038 49166 49778 73749 74667 147498 149334 221247 224001 323557 442494 448002 647114 771559 970671 1518229 1543118 1941342 2314677 2912013 3036458 4554687 4629354 5824026 6944031 9109374 10030267 13664061 13888062 19736977 20060534 27328122 30090801 39473954 47065099 59210931 60181602 90272403 94130198 118421862 141195297 177632793 180544806 282390594 355265586 423585891 611846287 847171782 1223692574 1835538861 3671077722 5506616583 11013233166