Search a number
-
+
113203142413300 = 225223269770323753
BaseRepresentation
bin11001101111010100101001…
…000101110100101111110100
3112211211010002122002212201101
4121233110221011310233310
5104314210013424211200
61040432450010135444
732562441254014522
oct3157245105645764
9484733078085641
10113203142413300
1133085201768755
121084363b421584
134b2201a178684
141dd50c03d3312
15d14a1820126a
hex66f529174bf4

113203142413300 has 144 divisors (see below), whose sum is σ = 257328427426560. Its totient is φ = 43144075279360.

The previous prime is 113203142413271. The next prime is 113203142413327. The reversal of 113203142413300 is 3314241302311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4765834224 + ... + 4765857976.

It is an arithmetic number, because the mean of its divisors is an integer number (1787002968240).

Almost surely, 2113203142413300 is an apocalyptic number.

113203142413300 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 113203142413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128664213713280).

113203142413300 is an abundant number, since it is smaller than the sum of its proper divisors (144125285013260).

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

113203142413300 is a wasteful number, since it uses less digits than its factorization.

113203142413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31762 (or 31755 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 113203142413300 its reverse (3314241302311), we get a palindrome (116517383715611).

The spelling of 113203142413300 in words is "one hundred thirteen trillion, two hundred three billion, one hundred forty-two million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 269 460 538 575 1076 1150 1345 2300 2690 5380 6187 6725 7703 12374 13450 15406 23753 24748 26900 30812 30935 38515 47506 61870 77030 95012 118765 123740 154060 154675 177169 192575 237530 309350 354338 385150 475060 546319 593825 618700 708676 770300 885845 1092638 1187650 1771690 2072107 2185276 2375300 2731595 3543380 4144214 4429225 5463190 6389557 8288428 8858450 10360535 10926380 12779114 13657975 17716900 20721070 25558228 27315950 31947785 41442140 47658461 51802675 54631900 63895570 95316922 103605350 127791140 146959811 159738925 182969359 190633844 207210700 238292305 293919622 319477850 365938718 476584610 587839244 638955700 731877436 734799055 914846795 953169220 1191461525 1469598110 1829693590 2382923050 2939196220 3659387180 3673995275 4208295257 4574233975 4765846100 7347990550 8416590514 9148467950 14695981100 16833181028 18296935900 21041476285 42082952570 49218757571 84165905140 98437515142 105207381425 196875030284 210414762850 246093787855 420829525700 492187575710 984375151420 1132031424133 1230468939275 2264062848266 2460937878550 4528125696532 4921875757100 5660157120665 11320314241330 22640628482660 28300785603325 56601571206650 113203142413300