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9930321801 = 325925632
BaseRepresentation
bin10010011111110010…
…01010111110001001
3221122001122121121100
421033321022332021
5130314130244201
64321213132013
7501040225341
oct111771127611
927561577540
109930321801
114236453824
121b1178a009
13c2343227a
146a2bc5d21
153d1be7886
hex24fe4af89

9930321801 has 27 divisors (see below), whose sum is σ = 14616996589. Its totient is φ = 6496447992.

The previous prime is 9930321799. The next prime is 9930321827. The reversal of 9930321801 is 1081230399.

The square root of 9930321801 is 99651.

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

It is not a de Polignac number, because 9930321801 - 21 = 9930321799 is a prime.

It is a super-2 number, since 2×99303218012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9930321881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17637946 + ... + 17638508.

Almost surely, 29930321801 is an apocalyptic number.

9930321801 is the 99651-st square number.

9930321801 is the 49826-th centered octagonal number.

It is an amenable number.

9930321801 is a deficient number, since it is larger than the sum of its proper divisors (4686674788).

9930321801 is an frugal number, since it uses more digits than its factorization.

9930321801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 9930321801 is about 2149.4191184291.

Multiplying 9930321801 by its sum of digits (36), we get a square (357491584836 = 5979062).

Multiplying 9930321801 by its product of nonzero digits (11664), we get a square (115827273486864 = 107623082).

It can be divided in two parts, 99303 and 21801, that added together give a square (121104 = 3482).

The spelling of 9930321801 in words is "nine billion, nine hundred thirty million, three hundred twenty-one thousand, eight hundred one".

Divisors: 1 3 9 59 177 531 563 1689 3481 5067 10443 31329 33217 99651 298953 316969 950907 1959803 2852721 5879409 17638227 18701171 56103513 168310539 1103369089 3310107267 9930321801