Search a number
-
+
30421340300 = 22521329379867
BaseRepresentation
bin11100010101010000…
…001101000010001100
32220112010010012121102
4130111100031002030
5444300330342200
621550402522232
72124604061141
oct342520150214
986463105542
1030421340300
11119a106525a
125a90066378
132b3a768ba0
1416883a63c8
15bd0b056d5
hex71540d08c

30421340300 has 72 divisors (see below), whose sum is σ = 71335861296. Its totient is φ = 11194018560.

The previous prime is 30421340293. The next prime is 30421340311. The reversal of 30421340300 is 304312403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340967 + ... + 420833.

Almost surely, 230421340300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30421340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35667930648).

30421340300 is an abundant number, since it is smaller than the sum of its proper divisors (40914520996).

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

30421340300 is a wasteful number, since it uses less digits than its factorization.

30421340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80187 (or 80180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30421340300 its reverse (304312403), we get a palindrome (30725652703).

The spelling of 30421340300 in words is "thirty billion, four hundred twenty-one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 293 325 586 650 1172 1300 1465 2930 3809 5860 7325 7618 14650 15236 19045 29300 38090 76180 79867 95225 159734 190450 319468 380900 399335 798670 1038271 1597340 1996675 2076542 3993350 4153084 5191355 7986700 10382710 20765420 23401031 25956775 46802062 51913550 93604124 103827100 117005155 234010310 304213403 468020620 585025775 608426806 1170051550 1216853612 1521067015 2340103100 3042134030 6084268060 7605335075 15210670150 30421340300