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112313531352 = 233116169110093
BaseRepresentation
bin110100010011001101…
…0000111101111011000
3101201220022201112202110
41220212122013233120
53320004231000402
6123332432432320
711054143156551
oct1504632075730
9351808645673
10112313531352
11436a50734a0
12199256a86a0
13a78b8cc079
145616575328
152dc528d56c
hex1a26687bd8

112313531352 has 128 divisors (see below), whose sum is σ = 311812542720. Its totient is φ = 33424704000.

The previous prime is 112313531347. The next prime is 112313531357. The reversal of 112313531352 is 253135313211.

It is an interprime number because it is at equal distance from previous prime (112313531347) and next prime (112313531357).

It is a super-2 number, since 2×1123135313522 (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 (112313531357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11122818 + ... + 11132910.

It is an arithmetic number, because the mean of its divisors is an integer number (2436035490).

Almost surely, 2112313531352 is an apocalyptic number.

112313531352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313531352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155906271360).

112313531352 is an abundant number, since it is smaller than the sum of its proper divisors (199499011368).

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

112313531352 is a wasteful number, since it uses less digits than its factorization.

112313531352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10861 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

Adding to 112313531352 its reverse (253135313211), we get a palindrome (365448844563).

The spelling of 112313531352 in words is "one hundred twelve billion, three hundred thirteen million, five hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 691 732 1342 1382 1464 2013 2073 2684 2764 4026 4146 5368 5528 7601 8052 8292 10093 15202 16104 16584 20186 22803 30279 30404 40372 42151 45606 60558 60808 80744 84302 91212 111023 121116 126453 168604 182424 222046 242232 252906 333069 337208 444092 463661 505812 615673 666138 888184 927322 1011624 1231346 1332276 1390983 1847019 1854644 2462692 2664552 2781966 3694038 3709288 4925384 5563932 6772403 6974263 7388076 11127864 13544806 13948526 14776152 20317209 20922789 27089612 27897052 40634418 41845578 54179224 55794104 76716893 81268836 83691156 153433786 162537672 167382312 230150679 306867572 425430043 460301358 613735144 850860086 920602716 1276290129 1701720172 1841205432 2552580258 3403440344 4679730473 5105160516 9359460946 10210321032 14039191419 18718921892 28078382838 37437843784 56156765676 112313531352