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2303312031 = 34171988037
BaseRepresentation
bin1000100101001001…
…1100000010011111
312221112002101010000
42021102130002133
514204121441111
61020315545343
7111035554266
oct21122340237
95845071100
102303312031
11a82183469
1254345b253
132a9264837
1417bc915dd
15d7327c56
hex8949c09f

2303312031 has 40 divisors (see below), whose sum is σ = 3834935280. Its totient is φ = 1369135872.

The previous prime is 2303312029. The next prime is 2303312047. The reversal of 2303312031 is 1302133032.

It is not a de Polignac number, because 2303312031 - 21 = 2303312029 is a prime.

It is a super-2 number, since 2×23033120312 = 10610492624298689922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2303311995 and 2303312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303312021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17856 + ... + 70181.

It is an arithmetic number, because the mean of its divisors is an integer number (95873382).

Almost surely, 22303312031 is an apocalyptic number.

2303312031 is a deficient number, since it is larger than the sum of its proper divisors (1531623249).

2303312031 is a wasteful number, since it uses less digits than its factorization.

2303312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88085 (or 88076 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2303312031 is about 47992.8331212068. The cubic root of 2303312031 is about 1320.6394267728.

Adding to 2303312031 its reverse (1302133032), we get a palindrome (3605445063).

The spelling of 2303312031 in words is "two billion, three hundred three million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 9 17 19 27 51 57 81 153 171 323 459 513 969 1377 1539 2907 8721 26163 88037 264111 792333 1496629 1672703 2376999 4489887 5018109 7130997 13469661 15054327 28435951 40408983 45162981 85307853 121226949 135488943 255923559 767770677 2303312031