Search a number
-
+
233112120020 = 22513962993113
BaseRepresentation
bin1101100100011010010…
…0001010101011010100
3211021200222120122221222
43121012210022223110
512304403200320040
6255031253425512
722561510220033
oct3310644125324
9737628518858
10233112120020
118a95379504a
123921893b298
1318ca0393ac0
14b3d599a71a
1560e53dcbb5
hex364690aad4

233112120020 has 48 divisors (see below), whose sum is σ = 527252438160. Its totient is φ = 86062304256.

The previous prime is 233112120019. The next prime is 233112120023. The reversal of 233112120020 is 20021211332.

It can be written as a sum of positive squares in 8 ways, for example, as 290429764 + 232821690256 = 17042^2 + 482516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233112120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2456984 + ... + 2550096.

It is an arithmetic number, because the mean of its divisors is an integer number (10984425795).

Almost surely, 2233112120020 is an apocalyptic number.

233112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233112120020 is an abundant number, since it is smaller than the sum of its proper divisors (294140318140).

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

233112120020 is a wasteful number, since it uses less digits than its factorization.

233112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102764 (or 102762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 233112120020 its reverse (20021211332), we get a palindrome (253133331352).

The spelling of 233112120020 in words is "two hundred thirty-three billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 9629 19258 38516 48145 93113 96290 125177 186226 192580 250354 372452 465565 500708 625885 931130 1210469 1251770 1862260 2420938 2503540 4841876 6052345 12104690 24209380 896585077 1793170154 3586340308 4482925385 8965850770 11655606001 17931701540 23311212002 46622424004 58278030005 116556060010 233112120020