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112202223231 = 37411512413581
BaseRepresentation
bin110100001111111000…
…1100000111001111111
3101201121120021111201110
41220133301200321333
53314242232120411
6123313415013103
711051322106230
oct1503761407177
9351546244643
10112202223231
114364825900a
12198b436a193
13a771829487
14560587d087
152dba6032a6
hex1a1fc60e7f

112202223231 has 64 divisors (see below), whose sum is σ = 177085827072. Its totient is φ = 61862400000.

The previous prime is 112202223229. The next prime is 112202223241. The reversal of 112202223231 is 132322202211.

It is not a de Polignac number, because 112202223231 - 21 = 112202223229 is a prime.

It is a super-2 number, since 2×1122022232312 (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 = 112202223198 and 112202223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202223241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31330861 + ... + 31334441.

It is an arithmetic number, because the mean of its divisors is an integer number (2766966048).

Almost surely, 2112202223231 is an apocalyptic number.

112202223231 is a deficient number, since it is larger than the sum of its proper divisors (64883603841).

112202223231 is a wasteful number, since it uses less digits than its factorization.

112202223231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112202223231 its reverse (132322202211), we get a palindrome (244524425442).

The spelling of 112202223231 in words is "one hundred twelve billion, two hundred two million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 21 41 123 151 241 287 453 723 861 1057 1687 3171 3581 5061 6191 9881 10743 18573 25067 29643 36391 43337 69167 75201 109173 130011 146821 207501 254737 440463 540731 764211 863021 1027747 1492031 1622193 2589063 3083241 3785117 4476093 6041147 10444217 11355351 18123441 22169971 31332651 35383861 66509913 106151583 130316171 155189797 247687027 390948513 465569391 743061081 912213197 2736639591 5342963011 16028889033 37400741077 112202223231