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311340100005 = 335111051199483
BaseRepresentation
bin1001000011111010101…
…00001110100110100101
31002202121211022210111000
410201331110032212211
520100111031200010
6355005550503513
731331204120364
oct4417524164645
91082554283430
10311340100005
11110047408280
125040b204b99
132348935425c
14110d72637db
15817302d7c0
hex487d50e9a5

311340100005 has 64 divisors (see below), whose sum is σ = 604388643840. Its totient is φ = 150808392000.

The previous prime is 311340099953. The next prime is 311340100013. The reversal of 311340100005 is 500001043113.

311340100005 is a `hidden beast` number, since 311 + 340 + 10 + 0 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 311340100005 - 227 = 311205882277 is a prime.

It is a super-2 number, since 2×3113401000052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1460994 + ... + 1660476.

It is an arithmetic number, because the mean of its divisors is an integer number (9443572560).

Almost surely, 2311340100005 is an apocalyptic number.

It is an amenable number.

311340100005 is a deficient number, since it is larger than the sum of its proper divisors (293048543835).

311340100005 is a wasteful number, since it uses less digits than its factorization.

311340100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200559 (or 200553 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 311340100005 its reverse (500001043113), we get a palindrome (811341143118).

The spelling of 311340100005 in words is "three hundred eleven billion, three hundred forty million, one hundred thousand, five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1051 1485 3153 5255 9459 11561 15765 28377 34683 47295 57805 104049 141885 173415 199483 312147 520245 598449 997415 1560735 1795347 2194313 2992245 5386041 6582939 8976735 10971565 19748817 26930205 32914695 59246451 98744085 209656633 296232255 628969899 1048283165 1886909697 2306222963 3144849495 5660729091 6918668889 9434548485 11531114815 20756006667 28303645455 34593344445 62268020001 103780033335 311340100005