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30250601329 = 1321727872
BaseRepresentation
bin11100001011000100…
…111000101101110001
32220002012211202202211
4130023010320231301
5443423123220304
621521423212121
72120431603654
oct341304705561
986065752684
1030250601329
1111913748573
125a42a47041
132b11288400
14166d83d89b
15bc0b2b204
hex70b138b71

30250601329 has 27 divisors (see below), whose sum is σ = 34841040417. Its totient is φ = 26247671424.

The previous prime is 30250601299. The next prime is 30250601341. The reversal of 30250601329 is 92310605203.

The square root of 30250601329 is 173927.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 273141729 + 29977459600 = 16527^2 + 173140^2 .

It is not a de Polignac number, because 30250601329 - 225 = 30217046897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30250601329.

It is not an unprimeable number, because it can be changed into a prime (30250611329) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 38437474 + ... + 38438260.

Almost surely, 230250601329 is an apocalyptic number.

30250601329 is the 173927-th square number.

30250601329 is the 86964-th centered octagonal number.

It is an amenable number.

30250601329 is a deficient number, since it is larger than the sum of its proper divisors (4590439088).

30250601329 is an frugal number, since it uses more digits than its factorization.

30250601329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 30250601329 in words is "thirty billion, two hundred fifty million, six hundred one thousand, three hundred twenty-nine".

Divisors: 1 13 17 169 221 289 787 2873 3757 10231 13379 48841 133003 173927 227443 619369 2261051 2956759 8051797 10529273 38437867 104673361 136880549 178997641 1779447137 2326969333 30250601329