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11122012212210 = 2335292647536621
BaseRepresentation
bin1010000111011000101110…
…0101100100101111110010
31110101020212011011021001000
42201312023211210233302
52424210340111242320
635353214252422430
72225352554652534
oct241661345445762
943336764137030
1011122012212210
1135a8900a41929
1212b762b477a16
13628a55470223
142a6445c35854
15144498135c90
hexa1d8b964bf2

11122012212210 has 128 divisors (see below), whose sum is σ = 30693061209600. Its totient is φ = 2862511384320.

The previous prime is 11122012212209. The next prime is 11122012212277. The reversal of 11122012212210 is 1221221022111.

11122012212210 is a `hidden beast` number, since 1 + 1 + 1 + 220 + 1 + 221 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20457700 + ... + 20994320.

It is an arithmetic number, because the mean of its divisors is an integer number (239789540700).

Almost surely, 211122012212210 is an apocalyptic number.

11122012212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122012212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346530604800).

11122012212210 is an abundant number, since it is smaller than the sum of its proper divisors (19571048997390).

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

11122012212210 is a wasteful number, since it uses less digits than its factorization.

11122012212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539313 (or 539307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122012212210 its reverse (1221221022111), we get a palindrome (12343233234321).

The spelling of 11122012212210 in words is "eleven trillion, one hundred twenty-two billion, twelve million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 2647 3915 5294 7830 7941 13235 15882 23823 26470 39705 47646 71469 76763 79410 119115 142938 153526 230289 238230 357345 383815 460578 536621 690867 714690 767630 1073242 1151445 1381734 1609863 2072601 2302890 2683105 3219726 3454335 4145202 4829589 5366210 6908670 8049315 9659178 10363005 14488767 15562009 16098630 20726010 24147945 28977534 31124018 46686027 48295890 72443835 77810045 93372054 140058081 144887670 155620090 233430135 280116162 420174243 466860270 700290405 840348486 1400580810 1420435787 2100871215 2840871574 4201742430 4261307361 7102178935 8522614722 12783922083 14204357870 21306536805 25567844166 38351766249 41192637823 42613073610 63919610415 76703532498 82385275646 123577913469 127839220830 191758831245 205963189115 247155826938 370733740407 383517662490 411926378230 617889567345 741467480814 1112201221221 1235779134690 1853668702035 2224402442442 3707337404070 5561006106105 11122012212210