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112201231131 = 33112397313541
BaseRepresentation
bin110100001111110110…
…1101110101100011011
3101201121111102002211000
41220133231232230123
53314242003344011
6123313341440043
711051310504633
oct1503755565433
9351544362730
10112201231131
11436477406a0
12198b3b70023
13a77156ca32
1456056a16c3
152dba4a9356
hex1a1fb6eb1b

112201231131 has 128 divisors (see below), whose sum is σ = 192135444480. Its totient is φ = 64049356800.

The previous prime is 112201231127. The next prime is 112201231141. The reversal of 112201231131 is 131132102211.

It is not a de Polignac number, because 112201231131 - 22 = 112201231127 is a prime.

It is a super-2 number, since 2×1122012311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112201231141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207395721 + ... + 207396261.

It is an arithmetic number, because the mean of its divisors is an integer number (1501058160).

Almost surely, 2112201231131 is an apocalyptic number.

112201231131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112201231131 is a deficient number, since it is larger than the sum of its proper divisors (79934213349).

112201231131 is a wasteful number, since it uses less digits than its factorization.

112201231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

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

Adding to 112201231131 its reverse (131132102211), we get a palindrome (243333333342).

The spelling of 112201231131 in words is "one hundred twelve billion, two hundred one million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 69 97 99 207 253 291 297 313 541 621 759 873 939 1067 1623 2231 2277 2619 2817 3201 3443 4869 5951 6693 6831 7199 8451 9603 10329 12443 14607 17853 20079 21597 24541 28809 30361 30987 37329 52477 53559 60237 64791 73623 79189 91083 92961 111987 136873 157431 160677 169333 194373 220869 237567 273249 333971 335961 410619 472293 507999 577247 662607 698303 712701 819747 1001913 1206971 1231857 1416879 1523997 1731741 1862663 2094909 2138103 3005739 3620913 3695571 3894659 4571991 5195223 5587989 6284727 7681333 9017217 10862739 11683977 13276681 15585669 16425301 16763967 18854181 23043999 32588217 35051931 39830043 42841249 49275903 50291901 69131997 105155793 119490129 128523747 147827709 180678311 207395991 358470387 377781923 385571241 443483127 542034933 1133345769 1156713723 1626104799 3400037307 4155601153 4878314397 10200111921 12466803459 37400410377 112201231131