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11201212110100 = 22526716373913879
BaseRepresentation
bin1010001011111111110001…
…0001001101010100010100
31110122211021201201221021111
42202333330101031110110
52432010040300010400
635453433225224404
72234155322664115
oct242777421152424
943584251657244
1011201212110100
1136294532483a1
12130aa53332104
136333678b782c
142aa1da61a20c
1514658125c3ba
hexa2ffc44d514

11201212110100 has 144 divisors (see below), whose sum is σ = 24856139660800. Its totient is φ = 4380283163520.

The previous prime is 11201212110089. The next prime is 11201212110113. The reversal of 11201212110100 is 101121210211.

It is a happy number.

11201212110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 807054961 + ... + 807068839.

Almost surely, 211201212110100 is an apocalyptic number.

11201212110100 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 11201212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428069830400).

11201212110100 is an abundant number, since it is smaller than the sum of its proper divisors (13654927550700).

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

11201212110100 is a wasteful number, since it uses less digits than its factorization.

11201212110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201212110100 its reverse (101121210211), we get a palindrome (11302333320311).

The spelling of 11201212110100 in words is "eleven trillion, two hundred one billion, two hundred twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 163 268 326 335 652 670 739 815 1340 1478 1630 1675 2956 3260 3350 3695 4075 6700 7390 8150 10921 13879 14780 16300 18475 21842 27758 36950 43684 49513 54605 55516 69395 73900 99026 109210 120457 138790 198052 218420 240914 247565 273025 277580 346975 481828 495130 546050 602285 693950 929893 990260 1092100 1204570 1237825 1387900 1859786 2262277 2409140 2475650 3011425 3719572 4524554 4649465 4951300 6022850 8070619 9049108 9298930 10256581 11311385 12045700 16141238 18597860 20513162 22622770 23247325 32282476 40353095 41026324 45245540 46494650 51282905 56556925 80706190 92989300 102565810 113113850 151572559 161412380 201765475 205131620 226227700 256414525 303145118 403530950 512829050 606290236 687190927 757862795 807061900 1025658100 1374381854 1515725590 1671822703 2748763708 3031451180 3343645406 3435954635 3789313975 6687290812 6871909270 7578627950 8359113515 13743818540 15157255900 16718227030 17179773175 33436454060 34359546350 41795567575 68719092700 83591135150 112012121101 167182270300 224024242202 448048484404 560060605505 1120121211010 2240242422020 2800303027525 5600606055050 11201212110100