Search a number
-
+
312101032301 = 1726576909629
BaseRepresentation
bin1001000101010101010…
…10111101000101101101
31002211120212011011100122
410202222222331011231
520103140331013201
6355213252134325
731356104001032
oct4425252750555
91084525134318
10312101032301
111103a7994a43
12505a20073a5
132357aba8a56
141116a33d389
1581b9c39e1b
hex48aaabd16d

312101032301 has 8 divisors (see below), whose sum is σ = 330584337720. Its totient is φ = 293631551488.

The previous prime is 312101032247. The next prime is 312101032343. The reversal of 312101032301 is 103230101213.

It can be written as a sum of positive squares in 4 ways, for example, as 42844860100 + 269256172201 = 206990^2 + 518899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312101032301 is a prime.

It is a super-3 number, since 3×3121010323013 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 312101032301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101032391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409646 + ... + 3499983.

It is an arithmetic number, because the mean of its divisors is an integer number (41323042215).

Almost surely, 2312101032301 is an apocalyptic number.

It is an amenable number.

312101032301 is a deficient number, since it is larger than the sum of its proper divisors (18483305419).

312101032301 is a wasteful number, since it uses less digits than its factorization.

312101032301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912303.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312101032301 its reverse (103230101213), we get a palindrome (415331133514).

The spelling of 312101032301 in words is "three hundred twelve billion, one hundred one million, thirty-two thousand, three hundred one".

Divisors: 1 17 2657 45169 6909629 117463693 18358884253 312101032301