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30175511521 = 27126412
BaseRepresentation
bin11100000110100110…
…011100001111100001
32212212222112210220211
4130012212130033201
5443244412332041
621510141534121
72115530421151
oct340646341741
985788483824
1030175511521
1111885320481
125a21874341
132acb856c7c
141663894761
15bb9247481
hex70699c3e1

30175511521 has 9 divisors (see below), whose sum is σ = 30334594899. Its totient is φ = 30017260800.

The previous prime is 30175511441. The next prime is 30175511539. The reversal of 30175511521 is 12511557103.

The square root of 30175511521 is 173711.

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

It can be written as a sum of positive squares in only one way, i.e., 27237871521 + 2937640000 = 165039^2 + 54200^2 .

It is not a de Polignac number, because 30175511521 - 27 = 30175511393 is a prime.

It is a super-2 number, since 2×301755115212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30175511551) 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 8 ways as a sum of consecutive naturals, for example, 47075361 + ... + 47076001.

Almost surely, 230175511521 is an apocalyptic number.

30175511521 is the 173711-st square number.

30175511521 is the 86856-th centered octagonal number.

It is an amenable number.

30175511521 is a deficient number, since it is larger than the sum of its proper divisors (159083378).

30175511521 is an frugal number, since it uses more digits than its factorization.

30175511521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 31.

It can be divided in two parts, 30175 and 511521, that added together give a square (541696 = 7362).

The spelling of 30175511521 in words is "thirty billion, one hundred seventy-five million, five hundred eleven thousand, five hundred twenty-one".

Divisors: 1 271 641 73441 173711 410881 47075681 111348751 30175511521