Search a number
-
+
112404053622 = 237210117321881
BaseRepresentation
bin110100010101111001…
…1011011111001110110
3101202010122001112222010
41220223303123321312
53320200414203442
6123345424545050
711056322456100
oct1505363337166
9352118045863
10112404053622
1143741181193
121994ba82186
13a7a45a4943
1456245ba570
152dcd1beb9c
hex1a2bcdbe76

112404053622 has 96 divisors (see below), whose sum is σ = 265639427424. Its totient is φ = 31612224000.

The previous prime is 112404053569. The next prime is 112404053627. The reversal of 112404053622 is 226350404211.

112404053622 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112404053622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112404053627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5126122 + ... + 5148002.

It is an arithmetic number, because the mean of its divisors is an integer number (2767077369).

Almost surely, 2112404053622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112404053622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132819713712).

112404053622 is an abundant number, since it is smaller than the sum of its proper divisors (153235373802).

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

112404053622 is a wasteful number, since it uses less digits than its factorization.

112404053622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22174 (or 22167 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 112404053622 its reverse (226350404211), we get a palindrome (338754457833).

The spelling of 112404053622 in words is "one hundred twelve billion, four hundred four million, fifty-three thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 173 202 294 303 346 519 606 707 1038 1211 1414 2121 2422 3633 4242 4949 7266 8477 9898 14847 16954 17473 21881 25431 29694 34946 43762 50862 52419 65643 104838 122311 131286 153167 244622 306334 366933 459501 733866 856177 919002 1072169 1712354 2144338 2209981 2568531 3216507 3785413 4419962 5137062 6433014 6629943 7570826 11356239 13259886 15469867 22712478 26497891 30939734 46409601 52995782 79493673 92819202 108289069 158987346 185485237 216578138 324867207 370970474 382326713 556455711 649734414 764653426 1112911422 1146980139 2293960278 2676286991 5352573982 8028860973 16057721946 18734008937 37468017874 56202026811 112404053622