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311000020221 = 311210125033389
BaseRepresentation
bin1001000011010010000…
…10111011010011111101
31002201202010101221201110
410201221002323103331
520043412001121341
6354512121432233
731316604361212
oct4415102732375
91081663357643
10311000020221
1110a992449300
125033533b679
1323433a62507
14110a4019b09
158153254216
hex48690bb4fd

311000020221 has 48 divisors (see below), whose sum is σ = 460623219840. Its totient is φ = 186489072000.

The previous prime is 311000020217. The next prime is 311000020231. The reversal of 311000020221 is 122020000113.

311000020221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 311000020221 - 22 = 311000020217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311000020197 and 311000020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311000020231) 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, 91765795 + ... + 91769183.

It is an arithmetic number, because the mean of its divisors is an integer number (9596317080).

Almost surely, 2311000020221 is an apocalyptic number.

It is an amenable number.

311000020221 is a deficient number, since it is larger than the sum of its proper divisors (149623199619).

311000020221 is a wasteful number, since it uses less digits than its factorization.

311000020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 311000020221 its reverse (122020000113), we get a palindrome (433020020334).

The spelling of 311000020221 in words is "three hundred eleven billion, twenty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 2503 3333 3389 7509 10167 12221 27533 36663 37279 82599 111837 252803 302863 342289 410069 758409 908589 1026867 1230207 2780833 3765179 8342499 8482667 11295537 25448001 30589163 41416969 91767489 93309337 124250907 279928011 856749367 1026402707 2570248101 3079208121 9424243037 28272729111 103666673407 311000020221