Search a number
-
+
112205315640 = 23351185004027
BaseRepresentation
bin110100001111111110…
…1010011111000111000
3101201121210002121201010
41220133331103320320
53314244030100030
6123314005153520
711051360306055
oct1503775237070
9351553077633
10112205315640
1143649a80420
12198b53bb8a0
13a77236cbc2
14560604602c
152dbaa146b0
hex1a1ff53e38

112205315640 has 64 divisors (see below), whose sum is σ = 367217400960. Its totient is φ = 27201288320.

The previous prime is 112205315633. The next prime is 112205315653. The reversal of 112205315640 is 46513502211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112205315598 and 112205315607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42500694 + ... + 42503333.

It is an arithmetic number, because the mean of its divisors is an integer number (5737771890).

Almost surely, 2112205315640 is an apocalyptic number.

112205315640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112205315640 is an abundant number, since it is smaller than the sum of its proper divisors (255012085320).

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

112205315640 is a wasteful number, since it uses less digits than its factorization.

112205315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85004052 (or 85004048 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 112205315640 its reverse (46513502211), we get a palindrome (158718817851).

The spelling of 112205315640 in words is "one hundred twelve billion, two hundred five million, three hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 85004027 170008054 255012081 340016108 425020135 510024162 680032216 850040270 935044297 1020048324 1275060405 1700080540 1870088594 2040096648 2550120810 2805132891 3400161080 3740177188 4675221485 5100241620 5610265782 7480354376 9350442970 10200483240 11220531564 14025664455 18700885940 22441063128 28051328910 37401771880 56102657820 112205315640