Search a number
-
+
30430320120 = 23325131645257
BaseRepresentation
bin11100010101110010…
…011101010111111000
32220112202000102121100
4130111302131113320
5444310130220440
621551323211400
72125043311314
oct342562352770
986482012540
1030430320120
11119a61389a2
125a93076b60
132b3c5912a5
141689662b44
15bd17cb230
hex715c9d5f8

30430320120 has 96 divisors (see below), whose sum is σ = 99653645520. Its totient is φ = 8052794880.

The previous prime is 30430320119. The next prime is 30430320133. The reversal of 30430320120 is 2102303403.

30430320120 is a `hidden beast` number, since 30 + 430 + 3 + 201 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30430320093 and 30430320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275469 + ... + 369788.

Almost surely, 230430320120 is an apocalyptic number.

30430320120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30430320120 is an abundant number, since it is smaller than the sum of its proper divisors (69223325400).

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

30430320120 is a wasteful number, since it uses less digits than its factorization.

30430320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645405 (or 645398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30430320120 its reverse (2102303403), we get a palindrome (32532623523).

It can be divided in two parts, 304303 and 20120, that added together give a palindrome (324423).

The spelling of 30430320120 in words is "thirty billion, four hundred thirty million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 3144 3930 4716 5240 5895 7860 9432 11790 15720 23580 47160 645257 1290514 1935771 2581028 3226285 3871542 5162056 5807313 6452570 7743084 9678855 11614626 12905140 15486168 19357710 23229252 25810280 29036565 38715420 46458504 58073130 77430840 84528667 116146260 169057334 232292520 253586001 338114668 422643335 507172002 676229336 760758003 845286670 1014344004 1267930005 1521516006 1690573340 2028688008 2535860010 3043032012 3381146680 3803790015 5071720020 6086064024 7607580030 10143440040 15215160060 30430320120