Search a number
-
+
311054031 = 32313173517
BaseRepresentation
bin10010100010100…
…100111011001111
3210200022011220200
4102202210323033
51114112212111
650510544543
710464626031
oct2242447317
9720264820
10311054031
1114a644552
1288208153
134c59b352
142d44dc51
151c494256
hex128a4ecf

311054031 has 24 divisors (see below), whose sum is σ = 465389184. Its totient is φ = 199990080.

The previous prime is 311054011. The next prime is 311054057. The reversal of 311054031 is 130450113.

Added to its reverse (130450113) it gives a square (441504144 = 210122).

It is not a de Polignac number, because 311054031 - 27 = 311053903 is a prime.

It is a super-2 number, since 2×3110540312 = 193509220402697922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311053995 and 311054013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311054011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86685 + ... + 90201.

It is an arithmetic number, because the mean of its divisors is an integer number (19391216).

Almost surely, 2311054031 is an apocalyptic number.

311054031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

311054031 is a deficient number, since it is larger than the sum of its proper divisors (154335153).

311054031 is a wasteful number, since it uses less digits than its factorization.

311054031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 311054031 is about 17636.7239304810. The cubic root of 311054031 is about 677.5561286632.

Adding to 311054031 its reverse (130450113), we get a square (441504144 = 210122).

The spelling of 311054031 in words is "three hundred eleven million, fifty-four thousand, thirty-one".

Divisors: 1 3 9 31 93 279 317 951 2853 3517 9827 10551 29481 31653 88443 109027 327081 981243 1114889 3344667 10034001 34561559 103684677 311054031