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12223222213100 = 22521943157195233
BaseRepresentation
bin1011000111011111000011…
…0100010110100111101100
31121021112021101001102221112
42301313300310112213230
53100231124341304400
641555134252451152
72401045561350503
oct261676064264754
947245241042845
1012223222213100
11399292630a458
121454b38479ab8
136a884cb31a52
1430386dcb383a
15162e49e4a835
hexb1df0d169ec

12223222213100 has 144 divisors (see below), whose sum is σ = 28588210654080. Its totient is φ = 4521310617600.

The previous prime is 12223222213093. The next prime is 12223222213121. The reversal of 12223222213100 is 131222232221.

It is a happy number.

It is a super-2 number, since 2×122232222131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128303084 + ... + 128398316.

Almost surely, 212223222213100 is an apocalyptic number.

12223222213100 is a gapful number since it is divisible by the number (10) 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 12223222213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294105327040).

12223222213100 is an abundant number, since it is smaller than the sum of its proper divisors (16364988440980).

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

12223222213100 is a wasteful number, since it uses less digits than its factorization.

12223222213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96880 (or 96873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12223222213100 its reverse (131222232221), we get a palindrome (12354444445321).

The spelling of 12223222213100 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1571 1634 1900 2150 3142 3268 4085 4300 6284 7855 8170 15710 16340 20425 29849 31420 39275 40850 59698 67553 78550 81700 95233 119396 135106 149245 157100 190466 270212 298490 337765 380932 476165 596980 675530 746225 952330 1283507 1351060 1492450 1688825 1809427 1904660 2380825 2567014 2984900 3377650 3618854 4095019 4761650 5134028 6417535 6755300 7237708 8190038 9047135 9523300 12835070 16380076 18094270 20475095 25670140 32087675 36188540 40950190 45235675 64175350 77805361 81900380 90471350 102375475 128350700 149611043 155610722 180942700 204750950 299222086 311221444 389026805 409501900 598444172 748055215 778053610 1496110430 1556107220 1945134025 2842609817 2992220860 3740276075 3890268050 5685219634 6433274849 7480552150 7780536100 11370439268 12866549698 14213049085 14961104300 25733099396 28426098170 32166374245 56852196340 64332748490 71065245425 122232222131 128665496980 142130490850 160831871225 244464444262 284260981700 321663742450 488928888524 611161110655 643327484900 1222322221310 2444644442620 3055805553275 6111611106550 12223222213100