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112432132134 = 2347794432833
BaseRepresentation
bin110100010110101111…
…0100011000000100110
3101202012120220002110000
41220231132203000212
53320230111212014
6123352310442130
711060113232460
oct1505536430046
9352176802400
10112432132134
1143756009a73
1219959363346
13a7aa35614a
145628209130
152dd08b9509
hex1a2d7a3026

112432132134 has 160 divisors (see below), whose sum is σ = 292327326720. Its totient is φ = 31634074368.

The previous prime is 112432132097. The next prime is 112432132139. The reversal of 112432132134 is 431231234211.

112432132134 is a `hidden beast` number, since 1 + 1 + 2 + 432 + 13 + 213 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112432132098 and 112432132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112432132139) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 39685182 + ... + 39688014.

It is an arithmetic number, because the mean of its divisors is an integer number (1827045792).

Almost surely, 2112432132134 is an apocalyptic number.

112432132134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112432132134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146163663360).

112432132134 is an abundant number, since it is smaller than the sum of its proper divisors (179895194586).

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

112432132134 is a wasteful number, since it uses less digits than its factorization.

112432132134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3367 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 112432132134 its reverse (431231234211), we get a palindrome (543663366345).

The spelling of 112432132134 in words is "one hundred twelve billion, four hundred thirty-two million, one hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 158 162 189 237 378 443 474 553 567 711 886 1106 1134 1329 1422 1659 2133 2658 2833 3101 3318 3987 4266 4977 5666 6202 6399 7974 8499 9303 9954 11961 12798 14931 16998 18606 19831 23922 25497 27909 29862 34997 35883 39662 44793 50994 55818 59493 69994 71766 76491 83727 89586 104991 118986 152982 167454 178479 209982 223807 229473 244979 251181 314973 356958 447614 458946 489958 502362 535437 629946 671421 734937 944919 1070874 1255019 1342842 1469874 1566649 1606311 1889838 2014263 2204811 2510038 2834757 3133298 3212622 3765057 4028526 4409622 4699947 5669514 6042789 6614433 7530114 8785133 9399894 11295171 12085578 13228866 14099841 17570266 18128367 19843299 22590342 26355399 28199682 33885513 36256734 39686598 42299523 52710798 67771026 79066197 84599046 99146501 101656539 126898569 158132394 198293002 203313078 237198591 253797138 297439503 474397182 594879006 694025507 711595773 892318509 1388051014 1423191546 1784637018 2082076521 2676955527 4164153042 5353911054 6246229563 8030866581 12492459126 16061733162 18738688689 37477377378 56216066067 112432132134