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112212002112 = 2637194394267
BaseRepresentation
bin110100010000001011…
…0110100010101000000
3101201122020200022211020
41220200112310111000
53314302233031422
6123314404345440
711051501165130
oct1504026642500
9351566608736
10112212002112
1143652828031
12198b76a5280
13a7738714b2
145606ca6ac0
152dbb3d595c
hex1a205b4540

112212002112 has 112 divisors (see below), whose sum is σ = 357166103040. Its totient is φ = 30373166592.

The previous prime is 112212002101. The next prime is 112212002117. The reversal of 112212002112 is 211200212211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 112212002091 and 112212002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212002117) 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 15 ways as a sum of consecutive naturals, for example, 2171598 + ... + 2222669.

Almost surely, 2112212002112 is an apocalyptic number.

112212002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112212002112 is an abundant number, since it is smaller than the sum of its proper divisors (244954100928).

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

112212002112 is a wasteful number, since it uses less digits than its factorization.

112212002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394308 (or 4394298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112212002112 its reverse (211200212211), we get a palindrome (323412214323).

The spelling of 112212002112 in words is "one hundred twelve billion, two hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 4394267 8788534 13182801 17577068 26365602 30759869 35154136 52731204 61519738 70308272 83491073 92279607 105462408 123039476 140616544 166982146 184559214 210924816 246078952 250473219 281233088 333964292 369118428 421849632 492157904 500946438 584437511 667928584 738236856 843699264 984315808 1001892876 1168875022 1335857168 1476473712 1753312533 1968631616 2003785752 2337750044 2671714336 2952947424 3506625066 4007571504 4675500088 5343428672 5905894848 7013250132 8015143008 9351000176 14026500264 16030286016 18702000352 28053000528 37404000704 56106001056 112212002112