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12211001210100 = 22352711528614771
BaseRepresentation
bin1011000110110001100001…
…1000111011010011110100
31121020100201200002011110210
42301230120120323103310
53100031112302210400
641545353450145420
72400133664502240
oct261543030732364
947210650064423
1012211001210100
11398872492aa80
1214526a7722270
136a7652c6b124
14303030ba7420
151629820c2950
hexb1b1863b4f4

12211001210100 has 144 divisors (see below), whose sum is σ = 44048411721216. Its totient is φ = 2537350896000.

The previous prime is 12211001210069. The next prime is 12211001210113. The reversal of 12211001210100 is 101210011221.

12211001210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 264284286 + ... + 264330485.

It is an arithmetic number, because the mean of its divisors is an integer number (305891748064).

Almost surely, 212211001210100 is an apocalyptic number.

12211001210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211001210100 is an abundant number, since it is smaller than the sum of its proper divisors (31837410511116).

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

12211001210100 is a wasteful number, since it uses less digits than its factorization.

12211001210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528614806 (or 528614799 counting only the distinct ones).

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

Adding to 12211001210100 its reverse (101210011221), we get a palindrome (12312211221321).

The spelling of 12211001210100 in words is "twelve trillion, two hundred eleven billion, one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 528614771 1057229542 1585844313 2114459084 2643073855 3171688626 3700303397 5286147710 5814762481 6343377252 7400606794 7929221565 10572295420 11100910191 11629524962 13215369275 14801213588 15858443130 17444287443 18501516985 22201820382 23259049924 26430738550 29073812405 31716886260 34888574886 37003033970 39646107825 40703337367 44403640764 52861477100 55504550955 58147624810 69777149772 74006067940 79292215650 81406674734 87221437215 92507584925 111009101910 116295249620 122110012101 145369062025 158584431300 162813349468 174442874430 185015169850 203516686835 222018203820 244220024202 277522754775 290738124050 348885748860 370030339700 407033373670 436107186075 488440048404 555045509550 581476248100 610550060505 814066747340 872214372150 1017583434175 1110091019100 1221100121010 1744428744300 2035166868350 2442200242020 3052750302525 4070333736700 6105500605050 12211001210100