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112311331110 = 233511191990277
BaseRepresentation
bin110100010011001000…
…1101110100100100110
3101201220011120202121000
41220212101232210212
53320003200043420
6123332313334130
711054115364056
oct1504621564446
9351804522530
10112311331110
11436a3900410
1219924a07346
13a78b30b754
145616161566
152dc4ea6690
hex1a2646e926

112311331110 has 128 divisors (see below), whose sum is σ = 343920038400. Its totient is φ = 25793976960.

The previous prime is 112311331087. The next prime is 112311331157. The reversal of 112311331110 is 11133113211.

112311331110 is a `hidden beast` number, since 1 + 12 + 311 + 331 + 1 + 10 = 666.

It is a super-2 number, since 2×1123113311102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938709 + ... + 1051568.

It is an arithmetic number, because the mean of its divisors is an integer number (2686875300).

Almost surely, 2112311331110 is an apocalyptic number.

112311331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112311331110 is an abundant number, since it is smaller than the sum of its proper divisors (231608707290).

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

112311331110 is a wasteful number, since it uses less digits than its factorization.

112311331110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990323 (or 1990317 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 112311331110 its reverse (11133113211), we get a palindrome (123444444321).

It can be divided in two parts, 11231 and 1331110, that added together give a triangular number (1342341 = T1638).

The spelling of 112311331110 in words is "one hundred twelve billion, three hundred eleven million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 9405 11286 18810 28215 56430 1990277 3980554 5970831 9951385 11941662 17912493 19902770 21893047 29854155 35824986 37815263 43786094 53737479 59708310 65679141 75630526 89562465 107474958 109465235 113445789 131358282 179124930 189076315 197037423 218930470 226891578 268687395 328395705 340337367 378152630 394074846 415967893 537374790 567228945 591112269 656791410 680674734 831935786 985187115 1021012101 1134457890 1182224538 1247903679 1701686835 1970374230 2042024202 2079839465 2495807358 2955561345 3403373670 3743711037 4159678930 5105060505 5911122690 6239518395 7487422074 10210121010 11231133111 12479036790 18718555185 22462266222 37437110370 56155665555 112311331110