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11101321220 = 22511232975653
BaseRepresentation
bin10100101011011000…
…01011100000000100
31001122200002112211012
422111230023200010
5140213414234340
65033323501352
7542046446663
oct122554134004
931580075735
1011101321220
114787451a40
122199987858
13107bc11632
14774526dda
1544e905565
hex295b0b804

11101321220 has 96 divisors (see below), whose sum is σ = 27453323520. Its totient is φ = 3728130560.

The previous prime is 11101321211. The next prime is 11101321229. The reversal of 11101321220 is 2212310111.

It is an interprime number because it is at equal distance from previous prime (11101321211) and next prime (11101321229).

It is a junction number, because it is equal to n+sod(n) for n = 11101321195 and 11101321204.

It is not an unprimeable number, because it can be changed into a prime (11101321229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108914 + ... + 184566.

It is an arithmetic number, because the mean of its divisors is an integer number (285972120).

Almost surely, 211101321220 is an apocalyptic number.

11101321220 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 11101321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726661760).

11101321220 is an abundant number, since it is smaller than the sum of its proper divisors (16352002300).

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

11101321220 is a wasteful number, since it uses less digits than its factorization.

11101321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75725 (or 75723 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11101321220 its reverse (2212310111), we get a palindrome (13313631331).

The spelling of 11101321220 in words is "eleven billion, one hundred one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 75653 146740 151306 302612 378265 756530 832183 1513060 1664366 1740019 2193937 3328732 3480038 4160915 4387874 6960076 8321830 8700095 8775748 10969685 16643660 17400190 19140209 21939370 24133307 34800380 38280418 43878740 48266614 50460551 76560836 95701045 96533228 100921102 120666535 191402090 201842204 241333070 252302755 382804180 482666140 504605510 555066061 1009211020 1110132122 2220264244 2775330305 5550660610 11101321220