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112105143315 = 34511171480229
BaseRepresentation
bin110100001100111111…
…1001011110000010011
3101201100210121100010000
41220121333023300103
53314042404041230
6123300030141043
711046032665344
oct1503177136023
9351323540100
10112105143315
11435a8481480
1219887951783
13a757698b39
1455d6a0c0cb
152db1d28b60
hex1a19fcbc13

112105143315 has 80 divisors (see below), whose sum is σ = 232123747680. Its totient is φ = 51156679680.

The previous prime is 112105143301. The next prime is 112105143377. The reversal of 112105143315 is 513341501211.

112105143315 is a `hidden beast` number, since 1 + 1 + 210 + 5 + 1 + 433 + 15 = 666.

It is not a de Polignac number, because 112105143315 - 29 = 112105142803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 664380 + ... + 815849.

It is an arithmetic number, because the mean of its divisors is an integer number (2901546846).

Almost surely, 2112105143315 is an apocalyptic number.

112105143315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112105143315 is an abundant number, since it is smaller than the sum of its proper divisors (120018604365).

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

112105143315 is a wasteful number, since it uses less digits than its factorization.

112105143315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480274 (or 1480265 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 112105143315 its reverse (513341501211), we get a palindrome (625446644526).

The spelling of 112105143315 in words is "one hundred twelve billion, one hundred five million, one hundred forty-three thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 297 405 459 495 561 765 891 935 1377 1485 1683 2295 2805 4455 5049 6885 8415 15147 25245 75735 1480229 4440687 7401145 13322061 16282519 22203435 25163893 39966183 48847557 66610305 75491679 81412595 119898549 125819465 146542671 199830915 226475037 244237785 276802823 377458395 439628013 599492745 679425111 732713355 830408469 1132375185 1318884039 1384014115 2038275333 2198140065 2491225407 3397125555 4152042345 6594420195 7473676221 10191376665 12456127035 22421028663 37368381105 112105143315