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131003233320 = 2335732204859
BaseRepresentation
bin111101000000001100…
…1101011010000101000
3110112010211200210000110
41322000121223100220
54121243311431240
6140103153534320
712315245052561
oct1720031532050
9415124623013
10131003233320
1150615a01183
12214808743a0
13c4799a460b
1464aa819168
15361ae82c80
hex1e8066b428

131003233320 has 96 divisors (see below), whose sum is σ = 398469088800. Its totient is φ = 34455476736.

The previous prime is 131003233301. The next prime is 131003233327. The reversal of 131003233320 is 23332300131.

It is not an unprimeable number, because it can be changed into a prime (131003233327) 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, 537051 + ... + 741909.

It is an arithmetic number, because the mean of its divisors is an integer number (4150719675).

Almost surely, 2131003233320 is an apocalyptic number.

131003233320 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 131003233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199234544400).

131003233320 is an abundant number, since it is smaller than the sum of its proper divisors (267465855480).

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

131003233320 is a wasteful number, since it uses less digits than its factorization.

131003233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205019 (or 204942 counting only the distinct ones).

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

Adding to 131003233320 its reverse (23332300131), we get a palindrome (154335533451).

The spelling of 131003233320 in words is "one hundred thirty-one billion, three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 5329 8760 10658 15987 21316 26645 31974 42632 53290 63948 79935 106580 127896 159870 204859 213160 319740 409718 614577 639480 819436 1024295 1229154 1638872 2048590 2458308 3072885 4097180 4916616 6145770 8194360 12291540 14954707 24583080 29909414 44864121 59818828 74773535 89728242 119637656 149547070 179456484 224320605 299094140 358912968 448641210 598188280 897282420 1091693611 1794564840 2183387222 3275080833 4366774444 5458468055 6550161666 8733548888 10916936110 13100323332 16375404165 21833872220 26200646664 32750808330 43667744440 65501616660 131003233320