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11312103222 = 2337101296299
BaseRepresentation
bin10101000100100000…
…01111111100110110
31002012100201101101000
422202100033330312
5141131344300342
65110253344130
7550216201530
oct124220177466
932170641330
1011312103222
114885429642
122238498046
1310b37a2404
14794514850
1546318e44c
hex2a240ff36

11312103222 has 64 divisors (see below), whose sum is σ = 29013696000. Its totient is φ = 3200018400.

The previous prime is 11312103221. The next prime is 11312103247. The reversal of 11312103222 is 22230121311.

11312103222 is a `hidden beast` number, since 1 + 131 + 210 + 322 + 2 = 666.

11312103222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11312103195 and 11312103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312103221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109972 + ... + 186327.

It is an arithmetic number, because the mean of its divisors is an integer number (453339000).

Almost surely, 211312103222 is an apocalyptic number.

11312103222 is an abundant number, since it is smaller than the sum of its proper divisors (17701592778).

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

11312103222 is a wasteful number, since it uses less digits than its factorization.

11312103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296418 (or 296412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312103222 its reverse (22230121311), we get a palindrome (33542224533).

The spelling of 11312103222 in words is "eleven billion, three hundred twelve million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 4242 5454 6363 12726 19089 38178 296299 592598 888897 1777794 2074093 2666691 4148186 5333382 6222279 8000073 12444558 16000146 18666837 29926199 37333674 56000511 59852398 89778597 112001022 179557194 209483393 269335791 418966786 538671582 628450179 808007373 1256900358 1616014746 1885350537 3770701074 5656051611 11312103222