Search a number
-
+
112655340612 = 223273101424429
BaseRepresentation
bin110100011101011001…
…0000001010001000100
3101202210010220020220200
41220322302001101010
53321204231344422
6123430402530500
711065463411163
oct1507262012104
9352703806820
10112655340612
1143860003891
1219a00066a30
13a814678079
145649b0d3da
152de52aa2ac
hex1a3ac81444

112655340612 has 72 divisors (see below), whose sum is σ = 291527385240. Its totient is φ = 36670579200.

The previous prime is 112655340583. The next prime is 112655340641. The reversal of 112655340612 is 216043556211.

112655340612 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 5 + 34 + 0 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (112655340583) and next prime (112655340641).

It can be written as a sum of positive squares in 4 ways, for example, as 37653850116 + 75001490496 = 194046^2 + 273864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53214 + ... + 477642.

Almost surely, 2112655340612 is an apocalyptic number.

112655340612 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 112655340612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145763692620).

112655340612 is an abundant number, since it is smaller than the sum of its proper divisors (178872044628).

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

112655340612 is a wasteful number, since it uses less digits than its factorization.

112655340612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424613 (or 424608 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 112655340612 its reverse (216043556211), we get a palindrome (328698896823).

The spelling of 112655340612 in words is "one hundred twelve billion, six hundred fifty-five million, three hundred forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 101 146 202 219 292 303 404 438 606 657 876 909 1212 1314 1818 2628 3636 7373 14746 22119 29492 44238 66357 88476 132714 265428 424429 848858 1273287 1697716 2546574 3819861 5093148 7639722 15279444 30983317 42867329 61966634 85734658 92949951 123933268 128601987 171469316 185899902 257203974 278849853 371799804 385805961 514407948 557699706 771611922 1115399412 1543223844 3129315017 6258630034 9387945051 12517260068 18775890102 28163835153 37551780204 56327670306 112655340612