Search a number
-
+
113322030033000 = 23353297112714241
BaseRepresentation
bin11001110001000011010111…
…010110000110100001101000
3112212020110222010010201022110
4121301003113112012201220
5104323132004142024000
61041003231044322320
732604150355061625
oct3161032726064150
9485213863121273
10113322030033000
113312066a722008
121086269a6a33a0
134b302b5a68c39
141ddab5bad734c
15d17b756c7850
hex6710d7586868

113322030033000 has 128 divisors (see below), whose sum is σ = 353683766816640. Its totient is φ = 30209034240000.

The previous prime is 113322030032977. The next prime is 113322030033007. The reversal of 113322030033000 is 330030223311.

113322030033000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113322030033007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555880 + ... + 15270120.

It is an arithmetic number, because the mean of its divisors is an integer number (2763154428255).

Almost surely, 2113322030033000 is an apocalyptic number.

113322030033000 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 113322030033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176841883408320).

113322030033000 is an abundant number, since it is smaller than the sum of its proper divisors (240361736783640).

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

113322030033000 is a wasteful number, since it uses less digits than its factorization.

113322030033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717236 (or 12717222 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 113322030033000 its reverse (330030223311), we get a palindrome (113652060256311).

The spelling of 113322030033000 in words is "one hundred thirteen trillion, three hundred twenty-two billion, thirty million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2971 3000 5942 8913 11884 14855 17826 23768 29710 35652 44565 59420 71304 74275 89130 118840 148550 178260 222825 297100 356520 371375 445650 594200 742750 891300 1114125 1485500 1782600 2228250 2971000 4456500 8913000 12714241 25428482 38142723 50856964 63571205 76285446 101713928 127142410 152570892 190713615 254284820 305141784 317856025 381427230 508569640 635712050 762854460 953568075 1271424100 1525708920 1589280125 1907136150 2542848200 3178560250 3814272300 4767840375 6357120500 7628544600 9535680750 12714241000 19071361500 37774010011 38142723000 75548020022 113322030033 151096040044 188870050055 226644060066 302192080088 377740100110 453288120132 566610150165 755480200220 906576240264 944350250275 1133220300330 1510960400440 1888700500550 2266440600660 2833050750825 3777401001100 4532881201320 4721751251375 5666101501650 7554802002200 9443502502750 11332203003300 14165253754125 18887005005500 22664406006600 28330507508250 37774010011000 56661015016500 113322030033000