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312214345303 = 729131112910399
BaseRepresentation
bin1001000101100010110…
…11001101011001010111
31002211212202101001120111
410202301123031121113
520103403333022203
6355232420543451
731361651101450
oct4426133153127
91084782331514
10312214345303
11110455949753
1250613b51b87
1323598501073
141117b3d8127
1581c4b6e26d
hex48b16cd657

312214345303 has 32 divisors (see below), whose sum is σ = 372303360000. Its totient is φ = 256160136960.

The previous prime is 312214345301. The next prime is 312214345307. The reversal of 312214345303 is 303543412213.

It is a happy number.

It is not a de Polignac number, because 312214345303 - 21 = 312214345301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312214345301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30018298 + ... + 30028696.

It is an arithmetic number, because the mean of its divisors is an integer number (11634480000).

Almost surely, 2312214345303 is an apocalyptic number.

312214345303 is a deficient number, since it is larger than the sum of its proper divisors (60089014697).

312214345303 is a wasteful number, since it uses less digits than its factorization.

312214345303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11695.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 312214345303 its reverse (303543412213), we get a palindrome (615757757516).

The spelling of 312214345303 in words is "three hundred twelve billion, two hundred fourteen million, three hundred forty-five thousand, three hundred three".

Divisors: 1 7 29 131 203 917 1129 3799 7903 10399 26593 32741 72793 147899 229187 301571 1035293 1362269 2110997 4289071 9535883 11740471 30023497 39505801 82183297 276540607 340473659 1538001701 2383315613 10766011907 44602049329 312214345303