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1110021322212 = 22321137139545029
BaseRepresentation
bin10000001001110010011…
…011010011010111100100
310221010011021221200102200
4100021302123103113210
5121141310424302322
62205534201134500
7143124235363245
oct20116233232744
93833137850380
101110021322212
11398837109770
1215b167a8a430
13808a001c92a
143ba223baccc
151dd1a6718ac
hex102726d35e4

1110021322212 has 144 divisors (see below), whose sum is σ = 3166319083200. Its totient is φ = 324923892480.

The previous prime is 1110021322187. The next prime is 1110021322213. The reversal of 1110021322212 is 2122231200111.

1110021322212 is a `hidden beast` number, since 1 + 110 + 0 + 21 + 322 + 212 = 666.

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 (1110021322213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1764114 + ... + 2309142.

Almost surely, 21110021322212 is an apocalyptic number.

1110021322212 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 1110021322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583159541600).

1110021322212 is an abundant number, since it is smaller than the sum of its proper divisors (2056297760988).

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

1110021322212 is a wasteful number, since it uses less digits than its factorization.

1110021322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545226 (or 545221 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1110021322212 its reverse (2122231200111), we get a palindrome (3232252522323).

It can be divided in two parts, 11100 and 21322212, that added together give a palindrome (21333312).

The spelling of 1110021322212 in words is "one trillion, one hundred ten billion, twenty-one million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 139 148 198 222 278 333 396 407 417 444 556 666 814 834 1221 1251 1332 1529 1628 1668 2442 2502 3058 3663 4587 4884 5004 5143 6116 7326 9174 10286 13761 14652 15429 18348 20572 27522 30858 46287 55044 56573 61716 92574 113146 169719 185148 226292 339438 509157 545029 678876 1018314 1090058 1635087 2036628 2180116 3270174 4905261 5995319 6540348 9810522 11990638 17985957 19621044 20166073 23981276 35971914 40332146 53957871 60498219 71943828 75759031 80664292 107915742 120996438 151518062 181494657 215831484 221826803 227277093 241992876 303036124 362989314 443653606 454554186 665480409 681831279 725978628 833349341 887307212 909108372 1330960818 1363662558 1666698682 1996441227 2500048023 2661921636 2727325116 2803084147 3333397364 3992882454 5000096046 5606168294 7500144069 7985764908 8409252441 10000192092 11212336588 15000288138 16818504882 25227757323 30000576276 30833925617 33637009764 50455514646 61667851234 92501776851 100911029292 123335702468 185003553702 277505330553 370007107404 555010661106 1110021322212