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112210122112 = 2711757105277
BaseRepresentation
bin110100010000000111…
…1101001010110000000
3101201122010010210221121
41220200033221112000
53314301242401422
6123314300202024
711051446205104
oct1504017512600
9351563123847
10112210122112
1143651763610
12198b6b39314
13a77336387a
145606937904
152dbb1638c7
hex1a203e9580

112210122112 has 64 divisors (see below), whose sum is σ = 244190215440. Its totient is φ = 50936739840.

The previous prime is 112210122107. The next prime is 112210122113. The reversal of 112210122112 is 211221012211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1122101221122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013218 + ... + 1118494.

Almost surely, 2112210122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095107720).

112210122112 is an abundant number, since it is smaller than the sum of its proper divisors (131980093328).

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

112210122112 is a wasteful number, since it uses less digits than its factorization.

112210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106059 (or 106047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112210122112 its reverse (211221012211), we get a palindrome (323431134323).

It can be divided in two parts, 11221012211 and 2, that multiplied together give a palindrome (22442024422).

The spelling of 112210122112 in words is "one hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 757 1408 1514 3028 6056 8327 12112 16654 24224 33308 48448 66616 96896 105277 133232 210554 266464 421108 532928 842216 1065856 1158047 1684432 2316094 3368864 4632188 6737728 9264376 13475456 18528752 37057504 74115008 79694689 148230016 159389378 318778756 637557512 876641579 1275115024 1753283158 2550230048 3506566316 5100460096 7013132632 10200920192 14026265264 28052530528 56105061056 112210122112