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112222112331 = 37374110193457
BaseRepresentation
bin110100010000011110…
…1011000101001001011
3101201122221200222102210
41220200331120221023
53314312330043311
6123315405200203
711051653134030
oct1504075305113
9351587628383
10112222112331
1143658502a8a
12198bab60063
13a7759a1284
145608379387
152dbc2313a6
hex1a20f58a4b

112222112331 has 64 divisors (see below), whose sum is σ = 180139115520. Its totient is φ = 60794634240.

The previous prime is 112222112281. The next prime is 112222112333. The reversal of 112222112331 is 133211222211.

It is not a de Polignac number, because 112222112331 - 223 = 112213723723 is a prime.

It is a super-2 number, since 2×1122221123312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112222112298 and 112222112307.

It is not an unprimeable number, because it can be changed into a prime (112222112333) 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 63 ways as a sum of consecutive naturals, for example, 32460555 + ... + 32464011.

It is an arithmetic number, because the mean of its divisors is an integer number (2814673680).

Almost surely, 2112222112331 is an apocalyptic number.

112222112331 is a deficient number, since it is larger than the sum of its proper divisors (67917003189).

112222112331 is a wasteful number, since it uses less digits than its factorization.

112222112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564.

The product of its digits is 288, while the sum is 21.

Adding to 112222112331 its reverse (133211222211), we get a palindrome (245433334542).

The spelling of 112222112331 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 37 41 111 123 259 287 777 861 1019 1517 3057 3457 4551 7133 10371 10619 21399 24199 31857 37703 41779 72597 113109 125337 127909 141737 263921 292453 383727 425211 791763 877359 895363 992159 1545823 2686089 2976477 3522683 4637469 5244269 10568049 10820761 15732807 24658781 32462283 36709883 73976343 110129649 130339271 144430003 391017813 433290009 912374897 1011010021 2737124691 3033030063 5343910111 16031730333 37407370777 112222112331