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11106055620 = 223251122325153
BaseRepresentation
bin10100101011111100…
…01111010111000100
31001200000000002012100
422111332033113010
5140221122234440
65034013152100
7542134625622
oct122576172704
931600002170
1011106055620
11478a095a70
12219b48b630
13107cbab55a
14774dda512
1545003d230
hex295f8f5c4

11106055620 has 144 divisors (see below), whose sum is σ = 36917217792. Its totient is φ = 2680197120.

The previous prime is 11106055601. The next prime is 11106055621. The reversal of 11106055620 is 2655060111.

It is a happy number.

11106055620 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 605 + 56 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11106055621) 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 47 ways as a sum of consecutive naturals, for example, 428964 + ... + 454116.

It is an arithmetic number, because the mean of its divisors is an integer number (256369568).

Almost surely, 211106055620 is an apocalyptic number.

11106055620 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 11106055620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458608896).

11106055620 is an abundant number, since it is smaller than the sum of its proper divisors (25811162172).

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

11106055620 is a wasteful number, since it uses less digits than its factorization.

11106055620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25402 (or 25397 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11106055620 in words is "eleven billion, one hundred six million, fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 223 330 396 446 495 660 669 892 990 1115 1338 1980 2007 2230 2453 2676 3345 4014 4460 4906 6690 7359 8028 9812 10035 12265 13380 14718 20070 22077 24530 25153 29436 36795 40140 44154 49060 50306 73590 75459 88308 100612 110385 125765 147180 150918 220770 226377 251530 276683 301836 377295 441540 452754 503060 553366 754590 830049 905508 1106732 1131885 1383415 1509180 1660098 2263770 2490147 2766830 3320196 4150245 4527540 4980294 5533660 5609119 8300490 9960588 11218238 12450735 16600980 16827357 22436476 24901470 28045595 33654714 49802940 50482071 56091190 61700309 67309428 84136785 100964142 112182380 123400618 168273570 185100927 201928284 246801236 252410355 308501545 336547140 370201854 504820710 555302781 617003090 740403708 925504635 1009641420 1110605562 1234006180 1851009270 2221211124 2776513905 3702018540 5553027810 11106055620