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282119260201 = 137238772
BaseRepresentation
bin1000001101011111001…
…11100100100000101001
3222222012101011022221221
410012233213210200221
514110240012311301
6333334230502041
726245115100532
oct4065747444051
9888171138857
10282119260201
11a9711a70899
1246815204921
13207b05265bc
14d9244bb689
157512a11da1
hex41af9e4829

282119260201 has 9 divisors (see below), whose sum is σ = 284266877349. Its totient is φ = 279987759264.

The previous prime is 282119260169. The next prime is 282119260231. The reversal of 282119260201 is 102062911282.

The square root of 282119260201 is 531149.

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 7983243801 + 274136016400 = 89349^2 + 523580^2 .

It is not a de Polignac number, because 282119260201 - 25 = 282119260169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282119260231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72765475 + ... + 72769351.

Almost surely, 2282119260201 is an apocalyptic number.

282119260201 is the 531149-th square number.

282119260201 is the 265575-th centered octagonal number.

It is an amenable number.

282119260201 is a deficient number, since it is larger than the sum of its proper divisors (2147617148).

282119260201 is an frugal number, since it uses more digits than its factorization.

282119260201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 282119260201 in words is "two hundred eighty-two billion, one hundred nineteen million, two hundred sixty thousand, two hundred one".

Divisors: 1 137 3877 18769 531149 15031129 72767413 2059264673 282119260201