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312875101 = 71127714669
BaseRepresentation
bin10010101001100…
…001100001011101
3210210201200221201
4102221201201131
51120044000401
651013555501
710516252210
oct2251414135
9723650851
10312875101
11150678770
1288945b91
134ca881c6
142d7a5777
151c703b01
hex12a6185d

312875101 has 16 divisors (see below), whose sum is σ = 391512960. Its totient is φ = 242902080.

The previous prime is 312875063. The next prime is 312875111. The reversal of 312875101 is 101578213.

It is a cyclic number.

It is not a de Polignac number, because 312875101 - 27 = 312874973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312875101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312875111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13995 + ... + 28663.

It is an arithmetic number, because the mean of its divisors is an integer number (24469560).

Almost surely, 2312875101 is an apocalyptic number.

It is an amenable number.

312875101 is a deficient number, since it is larger than the sum of its proper divisors (78637859).

312875101 is a wasteful number, since it uses less digits than its factorization.

312875101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 312875101 is about 17688.2758063074. The cubic root of 312875101 is about 678.8758104559.

The spelling of 312875101 in words is "three hundred twelve million, eight hundred seventy-five thousand, one hundred one".

Divisors: 1 7 11 77 277 1939 3047 14669 21329 102683 161359 1129513 4063313 28443191 44696443 312875101