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11221101234 = 234721413593
BaseRepresentation
bin10100111001101010…
…00110101010110010
31001222000111000010000
422130311012222302
5140440100214414
65053243050430
7545032533600
oct123465065262
931860430100
1011221101234
114839023492
122211b10a16
13109a98c395
147863c6870
1545a1b5b09
hex29cd46ab2

11221101234 has 60 divisors (see below), whose sum is σ = 29248673454. Its totient is φ = 3206026656.

The previous prime is 11221101197. The next prime is 11221101257. The reversal of 11221101234 is 43210112211.

11221101234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6251274225 + 4969827009 = 79065^2 + 70497^2 .

It is a super-2 number, since 2×112211012342 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 698859 + ... + 714734.

Almost surely, 211221101234 is an apocalyptic number.

11221101234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11221101234 is an abundant number, since it is smaller than the sum of its proper divisors (18027572220).

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

11221101234 is a wasteful number, since it uses less digits than its factorization.

11221101234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413621 (or 1413605 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11221101234 its reverse (43210112211), we get a palindrome (54431213445).

The spelling of 11221101234 in words is "eleven billion, two hundred twenty-one million, one hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 1413593 2827186 4240779 8481558 9895151 12722337 19790302 25444674 29685453 38167011 59370906 69266057 76334022 89056359 114501033 138532114 178112718 207798171 229002066 267169077 415596342 534338154 623394513 801507231 1246789026 1603014462 1870183539 3740367078 5610550617 11221101234