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312103022121 = 321116319340833
BaseRepresentation
bin1001000101010101100…
…10100010111000101001
31002211120222220020212200
410202222302202320221
520103141333201441
6355213402530413
731356126626202
oct4425262427051
91084528806780
10312103022121
111103a9023a20
12505a2806a09
132357b424667
141116a6da5a9
1581b9ece7b6
hex48aaca2e29

312103022121 has 24 divisors (see below), whose sum is σ = 494815897056. Its totient is φ = 187992887040.

The previous prime is 312103022107. The next prime is 312103022171. The reversal of 312103022121 is 121220301213.

312103022121 is a `hidden beast` number, since 31 + 210 + 302 + 2 + 121 = 666.

It is not a de Polignac number, because 312103022121 - 29 = 312103021609 is a prime.

It is a super-2 number, since 2×3121030221212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312103022094 and 312103022103.

It is not an unprimeable number, because it can be changed into a prime (312103022171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9654280 + ... + 9686553.

It is an arithmetic number, because the mean of its divisors is an integer number (20617329044).

Almost surely, 2312103022121 is an apocalyptic number.

It is an amenable number.

312103022121 is a deficient number, since it is larger than the sum of its proper divisors (182712874935).

312103022121 is a wasteful number, since it uses less digits than its factorization.

312103022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341013 (or 19341010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312103022121 its reverse (121220301213), we get a palindrome (433323323334).

The spelling of 312103022121 in words is "three hundred twelve billion, one hundred three million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 163 489 1467 1793 5379 16137 19340833 58022499 174067497 212749163 638247489 1914742467 3152555779 9457667337 28373002011 34678113569 104034340707 312103022121