Search a number
-
+
112120041520 = 24517122367409
BaseRepresentation
bin110100001101011100…
…0000001000000110000
3101201101211122020121101
41220122320001000300
53314110212312040
6123301321334144
711046303425344
oct1503270010060
9351354566541
10112120041520
1143605927743
1219890937354
13a75a7b4046
1455d89a9624
152db32bd09a
hex1a1ae01030

112120041520 has 80 divisors (see below), whose sum is σ = 276242944320. Its totient is φ = 42174758912.

The previous prime is 112120041511. The next prime is 112120041529. The reversal of 112120041520 is 25140021211.

It is an interprime number because it is at equal distance from previous prime (112120041511) and next prime (112120041529).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (112120041529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629576 + ... + 1696984.

It is an arithmetic number, because the mean of its divisors is an integer number (3453036804).

Almost surely, 2112120041520 is an apocalyptic number.

112120041520 is a gapful number since it is divisible by the number (10) 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 112120041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138121472160).

112120041520 is an abundant number, since it is smaller than the sum of its proper divisors (164122902800).

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

112120041520 is a wasteful number, since it uses less digits than its factorization.

112120041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68662 (or 68656 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 112120041520 its reverse (25140021211), we get a palindrome (137260062731).

The spelling of 112120041520 in words is "one hundred twelve billion, one hundred twenty million, forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1223 1360 2446 4892 6115 9784 12230 19568 20791 24460 41582 48920 67409 83164 97840 103955 134818 166328 207910 269636 332656 337045 415820 539272 674090 831640 1078544 1145953 1348180 1663280 2291906 2696360 4583812 5392720 5729765 9167624 11459530 18335248 22919060 45838120 82441207 91676240 164882414 329764828 412206035 659529656 824412070 1319059312 1401500519 1648824140 2803001038 3297648280 5606002076 6595296560 7007502595 11212004152 14015005190 22424008304 28030010380 56060020760 112120041520