Search a number
-
+
112333202103200 = 25521310801269433
BaseRepresentation
bin11001100010101010011100…
…100110111001101110100000
3112201201221121222221021000012
4121202222130212321232200
5104210431344214300300
61034525054410144052
732442543316256051
oct3142523446715640
9481657558837005
10112333202103200
113287a275080891
1210722b16122028
134a8ac8b253430
141da4d55352728
15cec09eb8e435
hex662a9c9b9ba0

112333202103200 has 72 divisors (see below), whose sum is σ = 295328308864428. Its totient is φ = 41476874618880.

The previous prime is 112333202103197. The next prime is 112333202103203. The reversal of 112333202103200 is 2301202333211.

It is an interprime number because it is at equal distance from previous prime (112333202103197) and next prime (112333202103203).

It can be written as a sum of positive squares in 6 ways, for example, as 10097726446864 + 102235475656336 = 3177692^2 + 10111156^2 .

It is not an unprimeable number, because it can be changed into a prime (112333202103203) 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 11 ways as a sum of consecutive naturals, for example, 5400624317 + ... + 5400645116.

Almost surely, 2112333202103200 is an apocalyptic number.

112333202103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112333202103200 is an abundant number, since it is smaller than the sum of its proper divisors (182995106761228).

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

112333202103200 is a wasteful number, since it uses less digits than its factorization.

112333202103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801269466 (or 10801269453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 112333202103200 its reverse (2301202333211), we get a palindrome (114634404436411).

The spelling of 112333202103200 in words is "one hundred twelve trillion, three hundred thirty-three billion, two hundred two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 10801269433 21602538866 43205077732 54006347165 86410155464 108012694330 140416502629 172820310928 216025388660 270031735825 280833005258 345640621856 432050777320 540063471650 561666010516 702082513145 864101554640 1080126943300 1123332021032 1404165026290 1728203109280 2160253886600 2246664042064 2808330052580 3510412565725 4320507773200 4493328084128 5616660105160 7020825131450 8641015546400 11233320210320 14041650262900 22466640420640 28083300525800 56166601051600 112333202103200