Search a number
-
+
311331030231 = 31343476436143
BaseRepresentation
bin1001000011111001100…
…01101000010011010111
31002202121012021000002110
410201330301220103113
520100101220431411
6355005024242103
731331034044034
oct4417461502327
91082535230073
10311331030231
11110042282aa1
1250408170333
13234874c9c20
14110d5d8238b
15817233b2a6
hex487cc684d7

311331030231 has 64 divisors (see below), whose sum is σ = 467971080192. Its totient is φ = 182836628352.

The previous prime is 311331030191. The next prime is 311331030239. The reversal of 311331030231 is 132030133113.

It is a de Polignac number, because none of the positive numbers 2k-311331030231 is a prime.

It is a super-2 number, since 2×3113310302312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311331030198 and 311331030207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311331030239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50677546 + ... + 50683688.

It is an arithmetic number, because the mean of its divisors is an integer number (7312048128).

Almost surely, 2311331030231 is an apocalyptic number.

311331030231 is a deficient number, since it is larger than the sum of its proper divisors (156640049961).

311331030231 is a wasteful number, since it uses less digits than its factorization.

311331030231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 311331030231 its reverse (132030133113), we get a palindrome (443361163344).

The spelling of 311331030231 in words is "three hundred eleven billion, three hundred thirty-one million, thirty thousand, two hundred thirty-one".

Divisors: 1 3 13 39 43 47 129 141 559 611 643 1677 1833 1929 2021 6063 6143 8359 18429 25077 26273 27649 30221 78819 79859 82947 90663 239577 264149 288721 359437 392873 792447 866163 1078311 1178619 1299503 3433937 3753373 3898509 3949949 10301811 11260119 11849847 12415003 16893539 37245009 50680617 51349337 154048011 161395039 169847807 185647603 484185117 509543421 556942809 2208021491 2413418839 6624064473 7240256517 7982846929 23948540787 103777010077 311331030231