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11221323012 = 2235193491741
BaseRepresentation
bin10100111001101011…
…11100110100000100
31001222000220021100000
422130311330310010
5140440124314022
65053251521300
7545034446304
oct123465746404
931860807300
1011221323012
114839165079
122211bb9230
13109aa39303
14786443604
1545a20b6ac
hex29cd7cd04

11221323012 has 144 divisors (see below), whose sum is σ = 31070312000. Its totient is φ = 3531392640.

The previous prime is 11221322971. The next prime is 11221323019. The reversal of 11221323012 is 21032312211.

11221323012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11221323019) 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 47 ways as a sum of consecutive naturals, for example, 6444462 + ... + 6446202.

Almost surely, 211221323012 is an apocalyptic number.

11221323012 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 11221323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15535156000).

11221323012 is an abundant number, since it is smaller than the sum of its proper divisors (19848988988).

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

11221323012 is a wasteful number, since it uses less digits than its factorization.

11221323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11221323012 its reverse (21032312211), we get a palindrome (32253635223).

The spelling of 11221323012 in words is "eleven billion, two hundred twenty-one million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 349 486 513 684 698 972 1026 1047 1396 1539 1741 2052 2094 3078 3141 3482 4188 4617 5223 6156 6282 6631 6964 9234 9423 10446 12564 13262 15669 18468 18846 19893 20892 26524 28269 31338 33079 37692 39786 47007 56538 59679 62676 66158 79572 84807 94014 99237 113076 119358 132316 141021 169614 179037 188028 198474 238716 282042 297711 339228 358074 396948 423063 537111 564084 595422 607609 716148 846126 893133 1074222 1190844 1215218 1611333 1692252 1786266 1822827 2148444 2430436 2679399 3222666 3572532 3645654 5358798 5468481 6445332 7291308 8038197 10717596 10936962 11544571 16076394 16405443 21873924 23089142 32152788 32810886 34633713 46178284 49216329 65621772 69267426 98432658 103901139 138534852 147648987 196865316 207802278 295297974 311703417 415604556 590595948 623406834 935110251 1246813668 1870220502 2805330753 3740441004 5610661506 11221323012