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112123011231 = 327211413531597
BaseRepresentation
bin110100001101100001…
…1010110000010011111
3101201102001020010021200
41220123003112002133
53314111442324411
6123301505130543
711046340604400
oct1503303260237
9351361203250
10112123011231
1143607575950
1219891929a53
13a75b2b397a
1455d913d9a7
152db36a7e56
hex1a1b0d609f

112123011231 has 144 divisors (see below), whose sum is σ = 211265597088. Its totient is φ = 56628633600.

The previous prime is 112123011229. The next prime is 112123011241. The reversal of 112123011231 is 132110321211.

It is not a de Polignac number, because 112123011231 - 21 = 112123011229 is a prime.

It is a super-2 number, since 2×1121230112312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123011241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70207725 + ... + 70209321.

It is an arithmetic number, because the mean of its divisors is an integer number (1467122202).

Almost surely, 2112123011231 is an apocalyptic number.

112123011231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112123011231 is a deficient number, since it is larger than the sum of its proper divisors (99142585857).

112123011231 is a wasteful number, since it uses less digits than its factorization.

112123011231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112123011231 its reverse (132110321211), we get a palindrome (244233332442).

The spelling of 112123011231 in words is "one hundred twelve billion, one hundred twenty-three million, eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 41 49 63 77 99 123 147 231 287 353 369 441 451 539 693 861 1059 1353 1597 1617 2009 2471 2583 3157 3177 3883 4059 4791 4851 6027 7413 9471 11179 11649 14373 14473 17297 17567 18081 22099 22239 27181 28413 33537 34947 43419 51891 52701 65477 66297 78253 81543 100611 101311 122969 130257 155673 158103 159203 190267 196431 198891 234759 244629 303933 368907 458339 477609 563741 570801 589293 704277 709177 720247 860783 911799 1106721 1114421 1375017 1432827 1691223 1712403 2127531 2160741 2582349 3208373 3343263 3946187 4125051 5041729 5073669 6201151 6382593 6482223 7747047 7800947 9625119 10029789 11838561 15125187 18603453 23113381 23402841 27623309 28875357 35292103 35515683 43408057 45375561 55810359 69340143 70208523 82869927 105876309 130224171 161793667 208020429 248609781 254247191 303856399 317628927 390672513 485381001 762741573 911569197 1132555669 1456143003 1779730337 2288224719 2734707591 3397667007 5339191011 10193001021 12458112359 16017573033 37374337077 112123011231