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22201100012 = 227131921071579
BaseRepresentation
bin10100101011010010…
…011110011011101100
32010022020021201211102
4110223102132123230
5330431440200022
614110554342232
71414110144050
oct245322363354
963266251742
1022201100012
119462a40043
12437712a978
13212a702b90
14110876bc60
1589e103a92
hex52b49e6ec

22201100012 has 144 divisors (see below), whose sum is σ = 50970850560. Its totient is φ = 8237614464.

The previous prime is 22201099951. The next prime is 22201100021. The reversal of 22201100012 is 21000110222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22201099966 and 22201100002.

It is an unprimeable number.

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, 14059439 + ... + 14061017.

It is an arithmetic number, because the mean of its divisors is an integer number (353964240).

Almost surely, 222201100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485425280).

22201100012 is an abundant number, since it is smaller than the sum of its proper divisors (28769750548).

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

22201100012 is a wasteful number, since it uses less digits than its factorization.

22201100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22201100012 its reverse (21000110222), we get a palindrome (43201210234).

The spelling of 22201100012 in words is "twenty-two billion, two hundred one million, one hundred thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 107 133 182 214 247 266 361 364 428 494 532 722 749 988 1391 1444 1498 1579 1729 2033 2527 2782 2996 3158 3458 4066 4693 5054 5564 6316 6916 8132 9386 9737 10108 11053 14231 18772 19474 20527 22106 26429 28462 30001 32851 38627 38948 41054 44212 52858 56924 60002 65702 77254 82108 105716 120004 131404 143689 154508 168953 185003 210007 270389 287378 337906 370006 390013 420014 502151 540778 570019 574756 675812 740012 780026 840028 1004302 1081556 1140038 1182671 1560052 2008604 2196389 2280076 2365342 2730091 3210107 3515057 3990133 4392778 4730684 5460182 6420214 7030114 7410247 7980266 8785556 10920364 12840428 14060228 14820494 15374723 15960532 22470749 29640988 30749446 41731391 44941498 51871729 60992033 61498892 83462782 89882996 103743458 121984066 166925564 207486916 243968132 292119737 426944231 584239474 792896429 853888462 1168478948 1585792858 1707776924 3171585716 5550275003 11100550006 22201100012