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11221020011220 = 22351781471350313
BaseRepresentation
bin1010001101001001100011…
…1010010110101011010100
31110201201102011210120101220
42203102120322112223110
52432321122110324340
635510510533250340
72235456223242015
oct243223072265324
943651364716356
1011221020011220
1136368982a0708
121312860a939b0
136351a3543596
142ab1591b900c
15146d401ceed0
hexa3498e96ad4

11221020011220 has 96 divisors (see below), whose sum is σ = 33271132019328. Its totient is φ = 2815908237312.

The previous prime is 11221020011219. The next prime is 11221020011221. The reversal of 11221020011220 is 2211002012211.

It is an interprime number because it is at equal distance from previous prime (11221020011219) and next prime (11221020011221).

It is a super-2 number, since 2×112210200112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221020011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221020011221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7634784 + ... + 8985096.

It is an arithmetic number, because the mean of its divisors is an integer number (346574291868).

Almost surely, 211221020011220 is an apocalyptic number.

11221020011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221020011220 is an abundant number, since it is smaller than the sum of its proper divisors (22050112008108).

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

11221020011220 is a wasteful number, since it uses less digits than its factorization.

11221020011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358489 (or 1358487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221020011220 its reverse (2211002012211), we get a palindrome (13432022023431).

The spelling of 11221020011220 in words is "eleven trillion, two hundred twenty-one billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 8147 16294 24441 32588 40735 48882 81470 97764 122205 138499 162940 244410 276998 415497 488820 553996 692495 830994 1350313 1384990 1661988 2077485 2700626 2769980 4050939 4154970 5401252 6751565 8101878 8309940 13503130 16203756 20254695 22955321 27006260 40509390 45910642 68865963 81018780 91821284 114776605 137731926 229553210 275463852 344329815 459106420 688659630 1377319260 11001000011 22002000022 33003000033 44004000044 55005000055 66006000066 110010000110 132012000132 165015000165 187017000187 220020000220 330030000330 374034000374 561051000561 660060000660 748068000748 935085000935 1122102001122 1870170001870 2244204002244 2805255002805 3740340003740 5610510005610 11221020011220