Search a number
-
+
30442012120 = 2351389657779
BaseRepresentation
bin11100010110011111…
…000011110111011000
32220120120000110000101
4130112133003313120
5444321123341440
621552421545144
72125244555632
oct342637036730
986516013011
1030442012120
1111a017a4303
125a96b751b4
132b41b26030
14168b027a52
15bd283a69a
hex7167c3dd8

30442012120 has 64 divisors (see below), whose sum is σ = 74592252000. Its totient is φ = 11113817088.

The previous prime is 30442012087. The next prime is 30442012127. The reversal of 30442012120 is 2121024403.

It is a super-3 number, since 3×304420121203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282610 + ... + 375169.

Almost surely, 230442012120 is an apocalyptic number.

It is an amenable number.

30442012120 is an abundant number, since it is smaller than the sum of its proper divisors (44150239880).

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

30442012120 is a wasteful number, since it uses less digits than its factorization.

30442012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657892 (or 657888 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 30442012120 its reverse (2121024403), we get a palindrome (32563036523).

The spelling of 30442012120 in words is "thirty billion, four hundred forty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 11570 23140 46280 657779 1315558 2631116 3288895 5262232 6577790 8551127 13155580 17102254 26311160 34204508 42755635 58542331 68409016 85511270 117084662 171022540 234169324 292711655 342045080 468338648 585423310 761050303 1170846620 1522100606 2341693240 3044201212 3805251515 6088402424 7610503030 15221006060 30442012120