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311200012123 = 711136110349481
BaseRepresentation
bin1001000011101001111…
…01110101011101011011
31002202021001201121000221
410201310331311131123
520044314200341443
6354544024140511
731324553313040
oct4416475653533
91082231647027
10311200012123
1110aa85326170
1250390307737
1323466315c10
14110c27d91c7
158165aaaeed
hex4874f7575b

311200012123 has 64 divisors (see below), whose sum is σ = 428816553984. Its totient is φ = 218028672000.

The previous prime is 311200012099. The next prime is 311200012169. The reversal of 311200012123 is 321210002113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311200012123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311200012097 and 311200012106.

It is not an unprimeable number, because it can be changed into a prime (311200012423) 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 63 ways as a sum of consecutive naturals, for example, 6264543 + ... + 6314023.

It is an arithmetic number, because the mean of its divisors is an integer number (6700258656).

Almost surely, 2311200012123 is an apocalyptic number.

311200012123 is a deficient number, since it is larger than the sum of its proper divisors (117616541861).

311200012123 is a wasteful number, since it uses less digits than its factorization.

311200012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49676.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 311200012123 its reverse (321210002113), we get a palindrome (632410014236).

The spelling of 311200012123 in words is "three hundred eleven billion, two hundred million, twelve thousand, one hundred twenty-three".

Divisors: 1 7 11 13 61 77 91 103 143 427 671 721 793 1001 1133 1339 4697 5551 6283 7931 8723 9373 14729 43981 49481 61061 69113 81679 103103 346367 483791 544291 571753 643253 898469 3018341 3810037 4502771 5096543 6289283 7075783 21128387 33201751 35675801 39238433 49530481 56061973 66255059 232412257 274669031 310889123 392433811 431622763 463785413 728805649 2176223861 3021359341 3419780353 4041558599 5101639543 23938462471 28290910193 44457144589 311200012123