Search a number
-
+
331312100031 = 3211191131558727
BaseRepresentation
bin1001101001000111011…
…11010111001010111111
31011200011201011111222200
410310203233113022333
520412011344200111
6412111440042543
732636136245613
oct4644357271277
91150151144880
10331312100031
11118566052520
1254263903453
132531cca7353
141206d93b343
1589415b8256
hex4d23bd72bf

331312100031 has 48 divisors (see below), whose sum is σ = 554408375040. Its totient is φ = 188543496960.

The previous prime is 331312100023. The next prime is 331312100081. The reversal of 331312100031 is 130001213133.

It is a happy number.

It is not a de Polignac number, because 331312100031 - 23 = 331312100023 is a prime.

It is a super-2 number, since 2×3313121000312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331312099977 and 331312100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312100081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566811 + ... + 991916.

It is an arithmetic number, because the mean of its divisors is an integer number (11550174480).

Almost surely, 2331312100031 is an apocalyptic number.

331312100031 is a deficient number, since it is larger than the sum of its proper divisors (223096275009).

331312100031 is a wasteful number, since it uses less digits than its factorization.

331312100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558876 (or 1558873 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331312100031 its reverse (130001213133), we get a palindrome (461313313164).

The spelling of 331312100031 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred thousand, thirty-one".

Divisors: 1 3 9 11 19 33 57 99 113 171 209 339 627 1017 1243 1881 2147 3729 6441 11187 19323 23617 70851 212553 1558727 4676181 14028543 17145997 29615813 51437991 88847439 154313973 176136151 266542317 325773943 528408453 977321829 1585225359 1937497661 2931965487 3346586869 5812492983 10039760607 17437478949 30119281821 36812455559 110437366677 331312100031