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113011023120 = 24357925123747
BaseRepresentation
bin110100100111111111…
…0110101110100010000
3101210200221011210120220
41221033332311310100
53322421310214440
6123525550233040
711110342563342
oct1511776656420
9353627153526
10113011023120
1143a2285a376
1219a9b1b5780
13a8702708a8
145681059292
152e166178d0
hex1a4ffb5d10

113011023120 has 160 divisors (see below), whose sum is σ = 356197201920. Its totient is φ = 29635008000.

The previous prime is 113011023119. The next prime is 113011023127. The reversal of 113011023120 is 21320110311.

It is a happy number.

113011023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113011023120.

It is not an unprimeable number, because it can be changed into a prime (113011023127) 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, 4747087 + ... + 4770833.

It is an arithmetic number, because the mean of its divisors is an integer number (2226232512).

Almost surely, 2113011023120 is an apocalyptic number.

113011023120 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 113011023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178098600960).

113011023120 is an abundant number, since it is smaller than the sum of its proper divisors (243186178800).

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

113011023120 is a wasteful number, since it uses less digits than its factorization.

113011023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24093 (or 24087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113011023120 its reverse (21320110311), we get a palindrome (134331133431).

The spelling of 113011023120 in words is "one hundred thirteen billion, eleven million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 251 316 395 474 502 632 753 790 948 1004 1185 1255 1264 1506 1580 1896 2008 2370 2510 3012 3160 3765 3792 4016 4740 5020 6024 6320 7530 9480 10040 12048 15060 18960 19829 20080 23747 30120 39658 47494 59487 60240 71241 79316 94988 99145 118735 118974 142482 158632 189976 198290 237470 237948 284964 297435 317264 356205 379952 396580 474940 475896 569928 594870 712410 793160 949880 951792 1139856 1189740 1424820 1586320 1876013 1899760 2379480 2849640 3752026 4758960 5628039 5699280 5960497 7504052 9380065 11256078 11920994 15008104 17881491 18760130 22512156 23841988 28140195 29802485 30016208 35762982 37520260 45024312 47683976 56280390 59604970 71525964 75040520 89407455 90048624 95367952 112560780 119209940 143051928 150081040 178814910 225121560 238419880 286103856 357629820 450243120 470879263 476839760 715259640 941758526 1412637789 1430519280 1883517052 2354396315 2825275578 3767034104 4708792630 5650551156 7063188945 7534068208 9417585260 11301102312 14126377890 18835170520 22602204624 28252755780 37670341040 56505511560 113011023120