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2317363321 = 72132234
BaseRepresentation
bin1000101000100000…
…0010100001111001
312222111112020212011
42022020002201321
514221221111241
61021541045521
7111266156200
oct21210024171
95874466764
102317363321
11a8a1003a9
125480b68a1
132ac144400
1417daac237
15d86a1281
hex8a202879

2317363321 has 45 divisors (see below), whose sum is σ = 3051703791. Its totient is φ = 1753800048.

The previous prime is 2317363289. The next prime is 2317363333. The reversal of 2317363321 is 1233637132.

The square root of 2317363321 is 48139.

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., 342805225 + 1974558096 = 18515^2 + 44436^2 .

It is not a de Polignac number, because 2317363321 - 25 = 2317363289 is a prime.

It is a super-3 number, since 3×23173633213 (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 not an unprimeable number, because it can be changed into a prime (2317363121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100754916 + ... + 100754938.

Almost surely, 22317363321 is an apocalyptic number.

2317363321 is the 48139-th square number.

2317363321 is the 24070-th centered octagonal number.

It is an amenable number.

2317363321 is a deficient number, since it is larger than the sum of its proper divisors (734340470).

2317363321 is an frugal number, since it uses more digits than its factorization.

2317363321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 43 counting only the distinct ones).

The product of its digits is 13608, while the sum is 31.

The cubic root of 2317363321 is about 1323.3194920938.

The spelling of 2317363321 in words is "two billion, three hundred seventeen million, three hundred sixty-three thousand, three hundred twenty-one".

Divisors: 1 7 13 23 49 91 161 169 299 529 637 1127 1183 2093 3703 3887 6877 8281 12167 14651 25921 27209 48139 85169 89401 158171 190463 279841 336973 596183 625807 1107197 1958887 2056223 3637933 4380649 7750379 13712209 14393561 25465531 47293129 100754927 178258717 331051903 2317363321