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112540132705 = 57111322417177
BaseRepresentation
bin110100011001111101…
…0100010010101100001
3101202111010010002101011
41220303322202111201
53320440233221310
6123411125340521
711062564226110
oct1506372422541
9352433102334
10112540132705
1143800a75440
1219989567741
13a7c683b400
1456386bdc77
152dda0ee78a
hex1a33ea2561

112540132705 has 96 divisors (see below), whose sum is σ = 183101707008. Its totient is φ = 64480665600.

The previous prime is 112540132667. The next prime is 112540132711. The reversal of 112540132705 is 507231045211.

It is not a de Polignac number, because 112540132705 - 27 = 112540132577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15677077 + ... + 15684253.

It is an arithmetic number, because the mean of its divisors is an integer number (1907309448).

Almost surely, 2112540132705 is an apocalyptic number.

It is an amenable number.

112540132705 is a deficient number, since it is larger than the sum of its proper divisors (70561574303).

112540132705 is a wasteful number, since it uses less digits than its factorization.

112540132705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 112540132705 its reverse (507231045211), we get a palindrome (619771177916).

The spelling of 112540132705 in words is "one hundred twelve billion, five hundred forty million, one hundred thirty-two thousand, seven hundred five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 169 241 385 455 715 845 1001 1183 1205 1687 1859 2651 3133 5005 5915 7177 8435 9295 13013 13255 15665 18557 21931 34463 35885 40729 50239 65065 78947 92785 93301 109655 172315 203645 241241 251195 285103 394735 448019 466505 552629 653107 1026311 1206205 1212913 1425515 1729657 2240095 2763145 3136133 3265535 5131555 6064565 7184177 8490391 8648285 12107599 13342043 15680665 19026227 22485541 35920885 42451955 60537995 66710215 93394301 95131135 112427705 133183589 157398787 247340951 292312033 466971505 665917945 786993935 1236704755 1461560165 1731386657 2046184231 3215432363 8656933285 10230921155 16077161815 22508026541 112540132705