Search a number
-
+
112122002000 = 2453192950579
BaseRepresentation
bin110100001101011111…
…1011111101001010000
3101201101222022211212202
41220122333133221100
53314111213031000
6123301431342332
711046326202131
oct1503277375120
9351358284782
10112122002000
1143606a46678
12198915219a8
13a75b01c4a8
1455d8d59c88
152db3558dd5
hex1a1afdfa50

112122002000 has 80 divisors (see below), whose sum is σ = 285380097600. Its totient is φ = 42488323200.

The previous prime is 112122001969. The next prime is 112122002029. The reversal of 112122002000 is 200221211.

It is a happy number.

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

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, 1437290 + ... + 1513289.

It is an arithmetic number, because the mean of its divisors is an integer number (3567251220).

Almost surely, 2112122002000 is an apocalyptic number.

112122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122002000 is an abundant number, since it is smaller than the sum of its proper divisors (173258095600).

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

112122002000 is a wasteful number, since it uses less digits than its factorization.

112122002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950621 (or 2950605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112122002000 its reverse (200221211), we get a palindrome (112322223211).

The spelling of 112122002000 in words is "one hundred twelve billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 2950579 5901158 11802316 14752895 23604632 29505790 47209264 56061001 59011580 73764475 112122002 118023160 147528950 224244004 236046320 280305005 295057900 368822375 448488008 560610010 590115800 737644750 896976016 1121220020 1180231600 1401525025 1475289500 2242440040 2803050050 2950579000 4484880080 5606100100 5901158000 7007625125 11212200200 14015250250 22424400400 28030500500 56061001000 112122002000