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311020303122009 = 32134373098458171
BaseRepresentation
bin100011010110111110000111…
…0101011110111111001011001
31111210020020202200111201122100
41012231330032223313321121
5311231224040044401014
63021252431010114013
7122340322023442065
oct10655741653677131
91453206680451570
10311020303122009
1190111a73914508
122aa7199a27b909
131047111cc55620
1456b366a63aaa5
1525e55426ad009
hex11adf0eaf7e59

311020303122009 has 48 divisors (see below), whose sum is σ = 495128532458560. Its totient is φ = 186920414432640.

The previous prime is 311020303121993. The next prime is 311020303122049. The reversal of 311020303122009 is 900221303020113.

311020303122009 is a `hidden beast` number, since 3 + 110 + 2 + 0 + 30 + 312 + 200 + 9 = 666.

It is not a de Polignac number, because 311020303122009 - 24 = 311020303121993 is a prime.

It is a super-2 number, since 2×3110203031220092 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311020303122049) 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, 32542494 + ... + 41000664.

Almost surely, 2311020303122009 is an apocalyptic number.

311020303122009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

311020303122009 is a deficient number, since it is larger than the sum of its proper divisors (184108229336551).

311020303122009 is a wasteful number, since it uses less digits than its factorization.

311020303122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465542 (or 8465539 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 311020303122009 in words is "three hundred eleven trillion, twenty billion, three hundred three million, one hundred twenty-two thousand, nine".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 7309 21927 65781 95017 285051 314287 855153 942861 2828583 4085731 8458171 12257193 25374513 36771579 76123539 109956223 329868669 363701353 989606007 1091104059 3273312177 4728117589 14184352767 42553058301 61820771839 185462315517 556386946551 803670033907 2411010101721 2658293189077 7233030305163 7974879567231 23924638701693 34557811458001 103673434374003 311020303122009