Search a number
-
+
113222112200 = 23523161299371
BaseRepresentation
bin110100101110010010…
…0000101001111001000
3101211020122101020100222
41221130210011033020
53323334330042300
6124002530445212
711115515034401
oct1513444051710
9354218336328
10113222112200
1144020a2675a
1219b39a33808
13a8a4c0b382
1456a10c69a8
152e29e12785
hex1a5c9053c8

113222112200 has 96 divisors (see below), whose sum is σ = 276188632320. Its totient is φ = 43109280000.

The previous prime is 113222112187. The next prime is 113222112251. The reversal of 113222112200 is 2211222311.

113222112200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228515 + ... + 527885.

It is an arithmetic number, because the mean of its divisors is an integer number (2876964920).

Almost surely, 2113222112200 is an apocalyptic number.

113222112200 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 113222112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138094316160).

113222112200 is an abundant number, since it is smaller than the sum of its proper divisors (162966520120).

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

113222112200 is a wasteful number, since it uses less digits than its factorization.

113222112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299479 (or 299470 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 113222112200 its reverse (2211222311), we get a palindrome (115433334511).

The spelling of 113222112200 in words is "one hundred thirteen billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 155 200 244 248 305 310 488 610 620 775 1220 1240 1525 1550 1891 2440 3050 3100 3782 6100 6200 7564 9455 12200 15128 18910 37820 47275 75640 94550 189100 299371 378200 598742 1197484 1496855 2394968 2993710 5987420 7484275 9280501 11974840 14968550 18261631 18561002 29937100 36523262 37122004 46402505 59874200 73046524 74244008 91308155 92805010 146093048 182616310 185610020 232012525 365232620 371220040 456540775 464025050 566110561 730465240 913081550 928050100 1132221122 1826163100 1856100200 2264442244 2830552805 3652326200 4528884488 5661105610 11322211220 14152764025 22644422440 28305528050 56611056100 113222112200