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113032002424110 = 235711332914698589
BaseRepresentation
bin11001101100110101010000…
…010110100100110100101110
3112211012202100121000122102020
4121230311100112210310232
5104303404020110032420
61040222103550211010
732544202251061650
oct3154652026446456
9484182317018366
10113032002424110
113301966a6a2860
1210816438ab3a66
134b0bb44cabc93
141dcaac71ac6d0
15d1034d771340
hex66cd505a4d2e

113032002424110 has 128 divisors (see below), whose sum is σ = 338316858086400. Its totient is φ = 23480112414720.

The previous prime is 113032002424063. The next prime is 113032002424111. The reversal of 113032002424110 is 11424200230311.

113032002424110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032002424111) 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 63 ways as a sum of consecutive naturals, for example, 340696 + ... + 15039284.

It is an arithmetic number, because the mean of its divisors is an integer number (2643100453800).

Almost surely, 2113032002424110 is an apocalyptic number.

113032002424110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113032002424110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169158429043200).

113032002424110 is an abundant number, since it is smaller than the sum of its proper divisors (225284855662290).

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

113032002424110 is a wasteful number, since it uses less digits than its factorization.

113032002424110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14701946.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113032002424110 its reverse (11424200230311), we get a palindrome (124456202654421).

The spelling of 113032002424110 in words is "one hundred thirteen trillion, thirty-two billion, two million, four hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3329 6658 9987 16645 19974 23303 33290 36619 46606 49935 69909 73238 99870 109857 116515 139818 183095 219714 233030 256333 349545 366190 512666 549285 699090 768999 1098570 1281665 1537998 2563330 3844995 7689990 14698589 29397178 44095767 73492945 88191534 102890123 146985890 161684479 205780246 220478835 308670369 323368958 440957670 485053437 514450615 617340738 808422395 970106874 1028901230 1131791353 1543351845 1616844790 2263582706 2425267185 3086703690 3395374059 4850534370 5658956765 6790748118 11317913530 16976870295 33953740590 48931602781 97863205562 146794808343 244658013905 293589616686 342521219467 489316027810 538247630591 685042438934 733974041715 1027563658401 1076495261182 1467948083430 1614742891773 1712606097335 2055127316802 2691238152955 3229485783546 3425212194670 3767733414137 5137818292005 5382476305910 7535466828274 8073714458865 10275636584010 11303200242411 16147428917730 18838667070685 22606400484822 37677334141370 56516001212055 113032002424110