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11312662321 = 312472732
BaseRepresentation
bin10101000100100100…
…11000011100110001
31002012101202210022101
422202102120130301
5141132020143241
65110313340401
7550224020542
oct124222303461
932171683271
1011312662321
114885780704
122238707701
1310b3939a3c
1479461c4c9
1546324ee31
hex2a2498731

11312662321 has 27 divisors (see below), whose sum is σ = 12109209003. Its totient is φ = 10568028960.

The previous prime is 11312662297. The next prime is 11312662379. The reversal of 11312662321 is 12326621311.

The square root of 11312662321 is 106361.

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., 6421618225 + 4891044096 = 80135^2 + 69936^2 .

It is not a de Polignac number, because 11312662321 - 29 = 11312661809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11312662321.

It is not an unprimeable number, because it can be changed into a prime (11312662721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154967941 + ... + 154968013.

Almost surely, 211312662321 is an apocalyptic number.

11312662321 is the 106361-st square number.

11312662321 is the 53181-st centered octagonal number.

It is an amenable number.

11312662321 is a deficient number, since it is larger than the sum of its proper divisors (796546682).

11312662321 is an frugal number, since it uses more digits than its factorization.

11312662321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 11312662321 in words is "eleven billion, three hundred twelve million, six hundred sixty-two thousand, three hundred twenty-one".

Divisors: 1 31 47 73 961 1457 2209 2263 3431 5329 45167 68479 70153 106361 161257 165199 250463 2122849 3297191 4998967 5121169 7764353 11771761 154967977 240694943 364924591 11312662321