Search a number
-
+
30321413200 = 2452135831041
BaseRepresentation
bin11100001111010011…
…000000110001010000
32220021011002101101201
4130033103000301100
5444044240210300
621532433040544
72122251521401
oct341723006120
986234071351
1030321413200
111194a713581
125a626b6154
132b22b4c620
141678dd39a8
15bc6e6766a
hex70f4c0c50

30321413200 has 60 divisors (see below), whose sum is σ = 78450839068. Its totient is φ = 11195596800.

The previous prime is 30321413141. The next prime is 30321413201. The reversal of 30321413200 is 231412303.

It can be written as a sum of positive squares in 6 ways, for example, as 5914225216 + 24407187984 = 76904^2 + 156228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321413201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2910321 + ... + 2920720.

Almost surely, 230321413200 is an apocalyptic number.

It is an amenable number.

30321413200 is an abundant number, since it is smaller than the sum of its proper divisors (48129425868).

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

30321413200 is a wasteful number, since it uses less digits than its factorization.

30321413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831072 (or 5831061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30321413200 its reverse (231412303), we get a palindrome (30552825503).

The spelling of 30321413200 in words is "thirty billion, three hundred twenty-one million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 5831041 11662082 23324164 29155205 46648328 58310410 75803533 93296656 116620820 145776025 151607066 233241640 291552050 303214132 379017665 466483280 583104100 606428264 758035330 1166208200 1212856528 1516070660 1895088325 2332416400 3032141320 3790176650 6064282640 7580353300 15160706600 30321413200