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311323423430241 = 3326929514281733
BaseRepresentation
bin100011011001001011010001…
…0000100000101011001100001
31111211022020011122211211121000
41012302112202010011121201
5311301210332344231431
63022044001210222213
7122401242440524125
oct10662264204053141
91454266148754530
10311323423430241
1190219582383542
122ab00694724969
131049389936ca61
1456c41c3d41585
1525ed383c779e6
hex11b25a2105661

311323423430241 has 16 divisors (see below), whose sum is σ = 461220165550720. Its totient is φ = 207548823409200.

The previous prime is 311323423430221. The next prime is 311323423430293. The reversal of 311323423430241 is 142034324323113.

311323423430241 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 342 + 3 + 4 + 302 + 4 + 1 = 666.

It is not a de Polignac number, because 311323423430241 - 223 = 311323415041633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311323423430196 and 311323423430205.

It is not an unprimeable number, because it can be changed into a prime (311323423430221) 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 15 ways as a sum of consecutive naturals, for example, 70568811 + ... + 74850543.

It is an arithmetic number, because the mean of its divisors is an integer number (28826260346920).

Almost surely, 2311323423430241 is an apocalyptic number.

It is an amenable number.

311323423430241 is a deficient number, since it is larger than the sum of its proper divisors (149896742120479).

311323423430241 is a wasteful number, since it uses less digits than its factorization.

311323423430241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974693 (or 6974687 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 311323423430241 its reverse (142034324323113), we get a palindrome (453357747753354).

The spelling of 311323423430241 in words is "three hundred eleven trillion, three hundred twenty-three billion, four hundred twenty-three million, four hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 9 27 2692951 4281733 8078853 12845199 24236559 38535597 72709677 115606791 11530497164083 34591491492249 103774474476747 311323423430241