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11345854212 = 22327118945989
BaseRepresentation
bin10101001000100001…
…11111111100000100
31002021201020010000200
422210100333330010
5141214014313322
65113501010500
7551106112110
oct124420777404
932251203020
1011345854212
1148a2491220
122247853a30
1310ba78b804
14798bbc740
154661098ac
hex2a443ff04

11345854212 has 144 divisors (see below), whose sum is σ = 36159177600. Its totient is φ = 2913799680.

The previous prime is 11345854211. The next prime is 11345854243. The reversal of 11345854212 is 21245854311.

11345854212 is a `hidden beast` number, since 1 + 1 + 34 + 585 + 42 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11345854211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223714 + ... + 269702.

It is an arithmetic number, because the mean of its divisors is an integer number (251105400).

Almost surely, 211345854212 is an apocalyptic number.

11345854212 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 11345854212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079588800).

11345854212 is an abundant number, since it is smaller than the sum of its proper divisors (24813323388).

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

11345854212 is a wasteful number, since it uses less digits than its factorization.

11345854212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46106 (or 46101 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Subtracting 11345854212 from its reverse (21245854311), we obtain a palindrome (9900000099).

The spelling of 11345854212 in words is "eleven billion, three hundred forty-five million, eight hundred fifty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 89 99 126 132 154 178 198 231 252 267 308 356 396 462 534 623 693 801 924 979 1068 1246 1386 1602 1869 1958 2492 2772 2937 3204 3738 3916 5607 5874 6853 7476 8811 11214 11748 13706 17622 20559 22428 27412 35244 41118 45989 61677 82236 91978 123354 137967 183956 246708 275934 321923 413901 505879 551868 643846 827802 965769 1011758 1287692 1517637 1655604 1931538 2023516 2897307 3035274 3541153 3863076 4093021 4552911 5794614 6070548 7082306 8186042 9105822 10623459 11589228 12279063 14164612 16372084 18211644 21246918 24558126 28651147 31870377 36837189 42493836 45023231 49116252 57302294 63740754 73674378 85953441 90046462 114604588 127481508 135069693 147348756 171906882 180092924 257860323 270139386 315162617 343813764 405209079 515720646 540278772 630325234 810418158 945487851 1031441292 1260650468 1620836316 1890975702 2836463553 3781951404 5672927106 11345854212