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311361461047 = 71335321434523
BaseRepresentation
bin1001000011111101001…
…01101101101100110111
31002202200022112001022201
410201332211231230313
520100132013223142
6355012032405331
731331553515440
oct4417645555467
91082608461281
10311361461047
1111005847812a
12504163a6847
13234908c3020
14110da0242c7
158174d4cab7
hex487e96db37

311361461047 has 32 divisors (see below), whose sum is σ = 384564031488. Its totient is φ = 245485126656.

The previous prime is 311361461027. The next prime is 311361461053. The reversal of 311361461047 is 740164163113.

It is not a de Polignac number, because 311361461047 - 211 = 311361458999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311361460997 and 311361461015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311361461017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68837328 + ... + 68841850.

It is an arithmetic number, because the mean of its divisors is an integer number (12017625984).

Almost surely, 2311361461047 is an apocalyptic number.

311361461047 is a deficient number, since it is larger than the sum of its proper divisors (73202570441).

311361461047 is a wasteful number, since it uses less digits than its factorization.

311361461047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 311361461047 in words is "three hundred eleven billion, three hundred sixty-one million, four hundred sixty-one thousand, forty-seven".

Divisors: 1 7 13 91 353 2143 2471 4523 4589 15001 27859 31661 32123 58799 195013 411593 756479 1596619 5295353 9692789 9834227 11176333 20756047 67849523 68839589 126006257 145292329 882043799 3421554517 23950881619 44480208721 311361461047