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12211211100 = 22352112336397
BaseRepresentation
bin10110101111101100…
…00100101101011100
31011112000112210111210
423113312010231130
5200002032223400
65335412344420
7611414403354
oct132766045534
934460483453
1012211211100
1151a6a01700
122449615110
1311c7b459ca
1483babbb64
154b7091950
hex2d7d84b5c

12211211100 has 108 divisors (see below), whose sum is σ = 38835130712. Its totient is φ = 2960284800.

The previous prime is 12211211087. The next prime is 12211211107. The reversal of 12211211100 is 111211221.

It is a super-2 number, since 2×122112111002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211211107) 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 35 ways as a sum of consecutive naturals, for example, 131899 + ... + 204498.

Almost surely, 212211211100 is an apocalyptic number.

12211211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211211100 is an abundant number, since it is smaller than the sum of its proper divisors (26623919612).

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

12211211100 is a wasteful number, since it uses less digits than its factorization.

12211211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336436 (or 336418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211211100 its reverse (111211221), we get a palindrome (12322422321).

It can be divided in two parts, 1221121 and 1100, that added together give a palindrome (1222221).

The spelling of 12211211100 in words is "twelve billion, two hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 336397 672794 1009191 1345588 1681985 2018382 3363970 3700367 4036764 5045955 6727940 7400734 8409925 10091910 11101101 14801468 16819850 18501835 20183820 22202202 25229775 33639700 37003670 40704037 44404404 50459550 55505505 74007340 81408074 92509175 100919100 111011010 122112111 162816148 185018350 203520185 222022020 244224222 277527525 370036700 407040370 488448444 555055050 610560555 814080740 1017600925 1110110100 1221121110 2035201850 2442242220 3052802775 4070403700 6105605550 12211211100