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112120031331 = 3371156939473
BaseRepresentation
bin110100001101011011…
…1111110100001100011
3101201101211121201122000
41220122313332201203
53314110212000311
6123301321215043
711046303353550
oct1503267764143
9351354551560
10112120031331
1143605920020
1219890931483
13a75a7ac509
1455d89a5a27
152db32ba056
hex1a1adfe863

112120031331 has 64 divisors (see below), whose sum is σ = 207148631040. Its totient is φ = 58227793920.

The previous prime is 112120031323. The next prime is 112120031381. The reversal of 112120031331 is 133130021211.

112120031331 is a `hidden beast` number, since 1 + 121 + 200 + 313 + 31 = 666.

It is not a de Polignac number, because 112120031331 - 23 = 112120031323 is a prime.

It is a super-2 number, since 2×1121200313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112120031381) 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, 11831011 + ... + 11840483.

It is an arithmetic number, because the mean of its divisors is an integer number (3236697360).

Almost surely, 2112120031331 is an apocalyptic number.

112120031331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112120031331 is a deficient number, since it is larger than the sum of its proper divisors (95028599709).

112120031331 is a wasteful number, since it uses less digits than its factorization.

112120031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112120031331 its reverse (133130021211), we get a palindrome (245250052542).

The spelling of 112120031331 in words is "one hundred twelve billion, one hundred twenty million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 5693 9473 17079 28419 39851 51237 62623 66311 85257 104203 119553 153711 187869 198933 255771 312609 358659 438361 563607 596799 729421 937827 1075977 1315083 1690821 1790397 2188263 2813481 3945249 6564789 11835747 19694367 53929789 161789367 377508523 485368101 593227679 1132525569 1456104303 1779683037 3397576707 4152593753 5339049111 10192730121 12457781259 16017147333 37373343777 112120031331