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113302222222300 = 225218123332683151
BaseRepresentation
bin11001110000110000111010…
…101101010011001111011100
3112212011120211200020200012221
4121300300322231103033130
5104322320422342103200
61040550153342235124
732602546455341446
oct3160607255231734
9485146750220187
10113302222222300
1133113225730721
121085a890b85aa4
134b2b47a1423a7
141dd9bdd15d496
15d173b677191a
hex670c3ab533dc

113302222222300 has 72 divisors (see below), whose sum is σ = 247330257475392. Its totient is φ = 45051161760000.

The previous prime is 113302222222297. The next prime is 113302222222307. The reversal of 113302222222300 is 3222222203311.

It is a super-2 number, since 2×1133022222223002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113302222222307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40885725 + ... + 43568875.

It is an arithmetic number, because the mean of its divisors is an integer number (3435142464936).

Almost surely, 2113302222222300 is an apocalyptic number.

113302222222300 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 113302222222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123665128737696).

113302222222300 is an abundant number, since it is smaller than the sum of its proper divisors (134028035253092).

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

113302222222300 is a wasteful number, since it uses less digits than its factorization.

113302222222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685679 (or 2685672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 113302222222300 its reverse (3222222203311), we get a palindrome (116524444425611).

The spelling of 113302222222300 in words is "one hundred thirteen trillion, three hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 2333 3620 4525 4666 9050 9332 11665 18100 23330 46660 58325 116650 233300 422273 844546 1689092 2111365 2683151 4222730 5366302 8445460 10556825 10732604 13415755 21113650 26831510 42227300 53663020 67078775 134157550 268315100 485650331 971300662 1942601324 2428251655 4856503310 6259791283 9713006620 12141258275 12519582566 24282516550 25039165132 31298956415 48565033100 62597912830 125195825660 156494782075 312989564150 625979128300 1133022222223 2266044444446 4532088888892 5665111111115 11330222222230 22660444444460 28325555555575 56651111111150 113302222222300