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312101100112 = 2419506318757
BaseRepresentation
bin1001000101010101010…
…11001101101001010000
31002211120212021121101011
410202222223031221100
520103140340200422
6355213253420304
731356104402524
oct4425253155120
91084525247334
10312101100112
111103a7a3098a
12505a203a694
132357ac00889
141116a359d84
1581b9c50077
hex48aaacda50

312101100112 has 10 divisors (see below), whose sum is σ = 604695881498. Its totient is φ = 156050550048.

The previous prime is 312101100067. The next prime is 312101100149. The reversal of 312101100112 is 211001101213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 233911518736 + 78189581376 = 483644^2 + 279624^2 .

It is a super-2 number, since 2×3121011001122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312101100092 and 312101100101.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 9753159363 + ... + 9753159394.

Almost surely, 2312101100112 is an apocalyptic number.

It is an amenable number.

312101100112 is a deficient number, since it is larger than the sum of its proper divisors (292594781386).

312101100112 is a wasteful number, since it uses less digits than its factorization.

312101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19506318765 (or 19506318759 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 312101100112 its reverse (211001101213), we get a palindrome (523102201325).

The spelling of 312101100112 in words is "three hundred twelve billion, one hundred one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19506318757 39012637514 78025275028 156050550056 312101100112