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11014352052 = 22311473495087
BaseRepresentation
bin10100100001000000…
…11010110010110100
31001102121110001112220
422100200122302310
5140024133231202
65020535442340
7536642306364
oct122040326264
931377401486
1011014352052
1147423507a0
1221748263b0
131066bb10a2
14766b689a4
15446e76abc
hex29081acb4

11014352052 has 96 divisors (see below), whose sum is σ = 28720742400. Its totient is φ = 3256667520.

The previous prime is 11014352029. The next prime is 11014352059. The reversal of 11014352052 is 25025341011.

It is a happy number.

It is a super-2 number, since 2×110143520522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014352059) 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 31 ways as a sum of consecutive naturals, for example, 2162653 + ... + 2167739.

It is an arithmetic number, because the mean of its divisors is an integer number (299174400).

Almost surely, 211014352052 is an apocalyptic number.

11014352052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014352052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360371200).

11014352052 is an abundant number, since it is smaller than the sum of its proper divisors (17706390348).

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

11014352052 is a wasteful number, since it uses less digits than its factorization.

11014352052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11014352052 its reverse (25025341011), we get a palindrome (36039693063).

The spelling of 11014352052 in words is "eleven billion, fourteen million, three hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 349 517 564 698 1034 1047 1396 1551 2068 2094 3102 3839 4188 5087 6204 7678 10174 11517 15261 15356 16403 20348 23034 30522 32806 46068 49209 55957 61044 65612 98418 111914 167871 180433 196836 223828 239089 335742 360866 478178 541299 671484 717267 721732 956356 1082598 1434534 1775363 2165196 2629979 2869068 3550726 5259958 5326089 7101452 7889937 10519916 10652178 15779874 19528993 21304356 31559748 39057986 58586979 78115972 83442061 117173958 166884122 234347916 250326183 333768244 500652366 917862671 1001304732 1835725342 2753588013 3671450684 5507176026 11014352052