Search a number
-
+
120120230433 = 37314312893329
BaseRepresentation
bin110111111011110111…
…0010100001000100001
3102111001101101221122110
41233313232110020201
53432001234333213
6131103225225533
711451456053310
oct1576756241041
9374041357573
10120120230433
1146a40814015
121b3440322a9
13b434092138
145b572c2277
1531d08045c3
hex1bf7b94221

120120230433 has 64 divisors (see below), whose sum is σ = 193547059200. Its totient is φ = 64811335680.

The previous prime is 120120230393. The next prime is 120120230437. The reversal of 120120230433 is 334032021021.

It is not a de Polignac number, because 120120230433 - 28 = 120120230177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120120230437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36081313 + ... + 36084641.

It is an arithmetic number, because the mean of its divisors is an integer number (3024172800).

Almost surely, 2120120230433 is an apocalyptic number.

It is an amenable number.

120120230433 is a deficient number, since it is larger than the sum of its proper divisors (73426828767).

120120230433 is a wasteful number, since it uses less digits than its factorization.

120120230433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120120230433 its reverse (334032021021), we get a palindrome (454152251454).

The spelling of 120120230433 in words is "one hundred twenty billion, one hundred twenty million, two hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 7 21 31 43 93 129 217 301 651 903 1289 1333 3329 3867 3999 9023 9331 9987 23303 27069 27993 39959 55427 69909 103199 119877 143147 166281 279713 309597 387989 429441 722393 839139 1002029 1163967 1718237 2167179 3006087 4291081 4437557 5154711 12027659 12873243 13312671 30037567 31062899 36082977 90112701 93188697 133023511 184516483 399070533 553549449 931164577 1291615381 2793493731 3874846143 5720010973 17160032919 40040076811 120120230433