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312111121021 = 7292143717449
BaseRepresentation
bin1001000101010110100…
…01011100001001111101
31002211121120010201110221
410202223101130021331
520103200421333041
6355214252301341
731356255520150
oct4425321341175
91084546121427
10312111121021
11110402655827
12505a5471851
132357cccbacb
141116b807c97
1581baa7e2d1
hex48ab45c27d

312111121021 has 16 divisors (see below), whose sum is σ = 369171072000. Its totient is φ = 258177967488.

The previous prime is 312111120977. The next prime is 312111121037. The reversal of 312111121021 is 120121111213.

It is a happy number.

It is not a de Polignac number, because 312111121021 - 213 = 312111112829 is a prime.

It is a super-4 number, since 4×3121111210214 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312111120986 and 312111121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111121051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76305 + ... + 793753.

It is an arithmetic number, because the mean of its divisors is an integer number (23073192000).

Almost surely, 2312111121021 is an apocalyptic number.

It is an amenable number.

312111121021 is a deficient number, since it is larger than the sum of its proper divisors (57059950979).

312111121021 is a wasteful number, since it uses less digits than its factorization.

312111121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719628.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 312111121021 its reverse (120121111213), we get a palindrome (432232232234).

The spelling of 312111121021 in words is "three hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 7 29 203 2143 15001 62147 435029 717449 5022143 20806021 145642147 1537493207 10762452449 44587303003 312111121021