Search a number
-
+
312101031 = 31137443577
BaseRepresentation
bin10010100110100…
…100100010100111
3210202021101010110
4102212210202213
51114344213111
650545224103
710506546354
oct2246444247
9722241113
10312101031
1115019a140
1288632033
134c876a88
142d64362b
151c5ee5a6
hex129a48a7

312101031 has 32 divisors (see below), whose sum is σ = 468096768. Its totient is φ = 183306240.

The previous prime is 312101029. The next prime is 312101051. The reversal of 312101031 is 130101213.

It is not a de Polignac number, because 312101031 - 21 = 312101029 is a prime.

It is a super-2 number, since 2×3121010312 = 194814107102525922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312100998 and 312101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101051) 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 31 ways as a sum of consecutive naturals, for example, 540615 + ... + 541191.

It is an arithmetic number, because the mean of its divisors is an integer number (14628024).

Almost surely, 2312101031 is an apocalyptic number.

312101031 is a deficient number, since it is larger than the sum of its proper divisors (155995737).

312101031 is a wasteful number, since it uses less digits than its factorization.

312101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 312101031 is about 17666.3813781997. The cubic root of 312101031 is about 678.3154895661.

Adding to 312101031 its reverse (130101213), we get a palindrome (442202244).

The spelling of 312101031 in words is "three hundred twelve million, one hundred one thousand, thirty-one".

Divisors: 1 3 11 33 37 111 407 443 577 1221 1329 1731 4873 6347 14619 16391 19041 21349 49173 64047 180301 234839 255611 540903 704517 766833 2811721 8435163 9457607 28372821 104033677 312101031