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30219530120 = 2351371218161
BaseRepresentation
bin11100001001001110…
…010110111110001000
32220000001101012002022
4130021032112332020
5443342144430440
621514353224012
72116603524233
oct341116267610
986001335068
1030219530120
11118a815628a
125a34562008
132b079c9990
14166967241a
15bbd03ecb5
hex709396f88

30219530120 has 64 divisors (see below), whose sum is σ = 73243502640. Its totient is φ = 11155046400.

The previous prime is 30219530119. The next prime is 30219530141. The reversal of 30219530120 is 2103591203.

It can be written as a sum of positive squares in 8 ways, for example, as 554979364 + 29664550756 = 23558^2 + 172234^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 30219530120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3698840 + ... + 3707000.

Almost surely, 230219530120 is an apocalyptic number.

It is an amenable number.

30219530120 is an abundant number, since it is smaller than the sum of its proper divisors (43023972520).

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

30219530120 is a wasteful number, since it uses less digits than its factorization.

30219530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The spelling of 30219530120 in words is "thirty billion, two hundred nineteen million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7121 8161 14242 16322 28484 32644 35605 40805 56968 65288 71210 81610 92573 106093 142420 163220 185146 212186 284840 326440 370292 424372 462865 530465 740584 848744 925730 1060930 1851460 2121860 3702920 4243720 58114481 116228962 232457924 290572405 464915848 581144810 755488253 1162289620 1510976506 2324579240 3021953012 3777441265 6043906024 7554882530 15109765060 30219530120