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312101120023 = 71129229610339
BaseRepresentation
bin1001000101010101010…
…11010010100000010111
31002211120212022121200121
410202222223102200113
520103140341320043
6355213254052411
731356104514550
oct4425253224027
91084525277617
10312101120023
111103a7a44940
12505a204a107
132357ac09964
141116a363327
1581b9c55ded
hex48aaad2817

312101120023 has 32 divisors (see below), whose sum is σ = 404289216000. Its totient is φ = 233783867520.

The previous prime is 312101120017. The next prime is 312101120029. The reversal of 312101120023 is 320021101213.

It is an interprime number because it is at equal distance from previous prime (312101120017) and next prime (312101120029).

It is not a de Polignac number, because 312101120023 - 25 = 312101119991 is a prime.

It is a super-2 number, since 2×3121011200232 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312101119979 and 312101120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101120029) 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 31 ways as a sum of consecutive naturals, for example, 206188 + ... + 816526.

It is an arithmetic number, because the mean of its divisors is an integer number (12634038000).

Almost surely, 2312101120023 is an apocalyptic number.

312101120023 is a deficient number, since it is larger than the sum of its proper divisors (92188095977).

312101120023 is a wasteful number, since it uses less digits than its factorization.

312101120023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610615.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312101120023 its reverse (320021101213), we get a palindrome (632122221236).

The spelling of 312101120023 in words is "three hundred twelve billion, one hundred one million, one hundred twenty thousand, twenty-three".

Divisors: 1 7 11 29 77 203 229 319 1603 2233 2519 6641 17633 46487 73051 511357 610339 4272373 6713729 17699831 46996103 123898817 139767631 194698141 978373417 1362886987 1537443941 4053261299 10762107587 28372829093 44585874289 312101120023