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2148030329 = 23732235737
BaseRepresentation
bin1000000000001000…
…0101011101111001
312112200220020122212
42000002011131321
513344343432304
6553051424505
7104141646044
oct20002053571
95480806585
102148030329
11a02563a85
124bb455135
13283036883
141653cdc5b
15c88a366e
hex80085779

2148030329 has 16 divisors (see below), whose sum is σ = 2282714112. Its totient is φ = 2017052928.

The previous prime is 2148030317. The next prime is 2148030337. The reversal of 2148030329 is 9230308412.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2148030329 is a prime.

It is a super-3 number, since 3×21480303293 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2148030295 and 2148030304.

It is not an unprimeable number, because it can be changed into a prime (2148030229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371549 + ... + 377285.

It is an arithmetic number, because the mean of its divisors is an integer number (142669632).

Almost surely, 22148030329 is an apocalyptic number.

It is an amenable number.

2148030329 is a deficient number, since it is larger than the sum of its proper divisors (134683783).

2148030329 is a wasteful number, since it uses less digits than its factorization.

2148030329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2148030329 is about 46346.8481021094. The cubic root of 2148030329 is about 1290.2686236257.

The spelling of 2148030329 in words is "two billion, one hundred forty-eight million, thirty thousand, three hundred twenty-nine".

Divisors: 1 23 73 223 1679 5129 5737 16279 131951 374417 418801 1279351 9632423 29425073 93392623 2148030329