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1310310201123 = 337111676315981
BaseRepresentation
bin10011000100010100100…
…100101111011100100011
311122021010202210221022000
4103010110210233130203
5132432003402413443
62441540451015043
7163444464640650
oct23042444573443
94567122727260
101310310201123
11465776a48970
12191b4429a483
139673c144971
14475c29b8c27
152413e1598d3
hex1311492f723

1310310201123 has 128 divisors (see below), whose sum is σ = 2438956154880. Its totient is φ = 675419472000.

The previous prime is 1310310201097. The next prime is 1310310201127. The reversal of 1310310201123 is 3211020130131.

1310310201123 is a `hidden beast` number, since 1 + 31 + 0 + 310 + 201 + 123 = 666.

It is not a de Polignac number, because 1310310201123 - 213 = 1310310192931 is a prime.

It is a super-2 number, since 2×13103102011232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310310201096 and 1310310201105.

It is not an unprimeable number, because it can be changed into a prime (1310310201127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 219075793 + ... + 219081773.

It is an arithmetic number, because the mean of its divisors is an integer number (19054344960).

Almost surely, 21310310201123 is an apocalyptic number.

1310310201123 is a deficient number, since it is larger than the sum of its proper divisors (1128645953757).

1310310201123 is a wasteful number, since it uses less digits than its factorization.

1310310201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310310201123 its reverse (3211020130131), we get a palindrome (4521330331254).

The spelling of 1310310201123 in words is "one trillion, three hundred ten billion, three hundred ten million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 167 189 231 297 501 631 693 1169 1503 1837 1893 2079 3507 4417 4509 5511 5679 5981 6941 10521 12859 13251 16533 17037 17943 20823 31563 38577 39753 41867 48587 49599 53829 62469 65791 105377 115731 119259 125601 145761 161487 187407 197373 316131 347193 376803 437283 460537 592119 737639 948393 998827 1130409 1159147 1311849 1381611 1776357 2212917 2845179 2996481 3477441 3774011 4144833 6638751 6991789 8114029 8989443 10432323 10987097 11322033 12434499 19916253 20975367 24342087 26418077 26968329 31296969 32961291 33966099 41514121 62926101 73026261 76909679 79254231 98883873 101898297 124542363 188778303 219078783 230729037 237762693 290598847 296651619 373627089 630259837 692187111 713288079 871796541 1120881267 1890779511 2076561333 2615389623 4411818859 5672338533 6932858207 7846168869 13235456577 17017015599 20798574621 39706369731 48530007449 62395723863 119119109193 145590022347 187187171589 436770067041 1310310201123