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122232200223100 = 225211217735103577
BaseRepresentation
bin11011110010101101100110…
…110111111101100101111100
3121000210021200012022101110111
4123302231212313331211330
5112010123021224114400
61111544410402315404
734513661604053542
oct3362554667754574
9530707605271414
10122232200223100
1135a46426491420
1211861504658b64
1353285a7154356
1422280da343d92
15e1e8179443ba
hex6f2b66dfd97c

122232200223100 has 72 divisors (see below), whose sum is σ = 289370300396688. Its totient is φ = 44446022668800.

The previous prime is 122232200223097. The next prime is 122232200223139. The reversal of 122232200223100 is 1322002232221.

It is a super-2 number, since 2×1222322002231002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21398512 + ... + 26502088.

It is an arithmetic number, because the mean of its divisors is an integer number (4019031949954).

Almost surely, 2122232200223100 is an apocalyptic number.

122232200223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122232200223100 is an abundant number, since it is smaller than the sum of its proper divisors (167138100173588).

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

122232200223100 is a wasteful number, since it uses less digits than its factorization.

122232200223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125375 (or 5125368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122232200223100 its reverse (1322002232221), we get a palindrome (123554202455321).

The spelling of 122232200223100 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 21773 43546 87092 108865 217730 239503 435460 479006 544325 958012 1088650 1197515 2177300 2395030 4790060 5103577 5987575 10207154 11975150 20414308 23950300 25517885 51035770 56139347 102071540 112278694 127589425 224557388 255178850 280696735 510357700 561393470 1122786940 1403483675 2806967350 5613934700 111120182021 222240364042 444480728084 555600910105 1111201820210 1222322002231 2222403640420 2444644004462 2778004550525 4889288008924 5556009101050 6111610011155 11112018202100 12223220022310 24446440044620 30558050055775 61116100111550 122232200223100