Search a number
-
+
1110201012200 = 235272617303019
BaseRepresentation
bin10000001001111101001…
…000110000111111101000
310221010121211001212202102
4100021331020300333220
5121142142424342300
62210004100352532
7143131546620620
oct20117510607750
93833554055672
101110201012200
1139891958a495
1215b1b80a5748
13808cb315677
143ba3c1d3880
151dd2b3180d5
hex1027d230fe8

1110201012200 has 96 divisors (see below), whose sum is σ = 2951099659200. Its totient is φ = 380493642240.

The previous prime is 1110201012133. The next prime is 1110201012203. The reversal of 1110201012200 is 22101020111.

It is not an unprimeable number, because it can be changed into a prime (1110201012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3512291 + ... + 3815309.

It is an arithmetic number, because the mean of its divisors is an integer number (30740621450).

Almost surely, 21110201012200 is an apocalyptic number.

1110201012200 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 1110201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475549829600).

1110201012200 is an abundant number, since it is smaller than the sum of its proper divisors (1840898647000).

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

1110201012200 is a wasteful number, since it uses less digits than its factorization.

1110201012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305659 (or 305650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1110201012200 its reverse (22101020111), we get a palindrome (1132302032311).

The spelling of 1110201012200 in words is "one trillion, one hundred ten billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2617 5234 10468 13085 18319 20936 26170 36638 52340 65425 73276 91595 104680 130850 146552 183190 261700 303019 366380 457975 523400 606038 732760 915950 1212076 1515095 1831900 2121133 2424152 3030190 3663800 4242266 6060380 7575475 8484532 10605665 12120760 15150950 16969064 21211330 30301900 42422660 53028325 60603800 84845320 106056650 212113300 424226600 793000723 1586001446 3172002892 3965003615 5551005061 6344005784 7930007230 11102010122 15860014460 19825018075 22204020244 27755025305 31720028920 39650036150 44408040488 55510050610 79300072300 111020101220 138775126525 158600144600 222040202440 277550253050 555100506100 1110201012200