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11010022112100 = 223521129115047253
BaseRepresentation
bin1010000000110111100001…
…1101001111101101100100
31102222112210101000201112110
42200031320131033231210
52420342011130041400
635225533452121020
72214306416552124
oct240157035175544
942875711021473
1011010022112100
1135653624a7090
121299996166170
1361b3188840bb
142a0c60612c84
151415e1483e50
hexa037874fb64

11010022112100 has 144 divisors (see below), whose sum is σ = 35949965929920. Its totient is φ = 2577058444800.

The previous prime is 11010022112077. The next prime is 11010022112183. The reversal of 11010022112100 is 121122001011.

11010022112100 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57427927 + ... + 57619326.

It is an arithmetic number, because the mean of its divisors is an integer number (249652541180).

Almost surely, 211010022112100 is an apocalyptic number.

11010022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010022112100 is an abundant number, since it is smaller than the sum of its proper divisors (24939943817820).

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

11010022112100 is a wasteful number, since it uses less digits than its factorization.

11010022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115047310 (or 115047303 counting only the distinct ones).

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

Adding to 11010022112100 its reverse (121122001011), we get a palindrome (11131144113111).

The spelling of 11010022112100 in words is "eleven trillion, ten billion, twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 115047253 230094506 345141759 460189012 575236265 690283518 1150472530 1265519783 1380567036 1725708795 2300945060 2531039566 2876181325 3336370337 3451417590 3796559349 5062079132 5752362650 6327598915 6672740674 6902835180 7593118698 8628543975 10009111011 11504725300 12655197830 13345481348 15186237396 16681851685 17257087950 18982796745 20018222022 25310395660 31637994575 33363703370 34514175900 36700073707 37965593490 40036444044 50045555055 63275989150 66727406740 73400147414 75931186980 83409258425 94913983725 100091110110 110100221121 126551978300 146800294828 166818516850 183500368535 189827967450 200182220220 220200442242 250227775275 333637033700 367000737070 379655934900 440400884484 500455550550 550501105605 734001474140 917501842675 1000911101100 1101002211210 1835003685350 2202004422420 2752505528025 3670007370700 5505011056050 11010022112100