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130131012011 = 721113314211423
BaseRepresentation
bin111100100110001101…
…0011010100110101011
3110102220001110100022112
41321030122122212223
54113002014341021
6135440435112535
712254524231400
oct1711432324653
9412801410275
10130131012011
1150208622420
122127874274b
13c36b085b30
146426a502a7
1535b95e1d5b
hex1e4c69a9ab

130131012011 has 96 divisors (see below), whose sum is σ = 184143568896. Its totient is φ = 90302688000.

The previous prime is 130131011981. The next prime is 130131012029. The reversal of 130131012011 is 110210131031.

It is a happy number.

It is not a de Polignac number, because 130131012011 - 214 = 130130995627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130131012611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91447646 + ... + 91449068.

It is an arithmetic number, because the mean of its divisors is an integer number (1918162176).

Almost surely, 2130131012011 is an apocalyptic number.

130131012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130131012011 is a deficient number, since it is larger than the sum of its proper divisors (54012556885).

130131012011 is a wasteful number, since it uses less digits than its factorization.

130131012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 130131012011 its reverse (110210131031), we get a palindrome (240341143042).

The spelling of 130131012011 in words is "one hundred thirty billion, one hundred thirty-one million, twelve thousand, eleven".

Divisors: 1 7 11 13 31 49 77 91 143 217 341 403 421 539 637 1001 1423 1519 2387 2821 2947 4433 4631 5473 7007 9961 13051 15653 16709 18499 19747 20629 31031 32417 38311 44113 60203 69727 91357 109571 129493 143561 169663 203489 217217 226919 268177 308791 421421 485243 573469 599083 639499 766997 906451 1004927 1187641 1424423 1866293 2161537 2949947 3396701 4014283 4193581 6308159 6589913 7034489 7788079 8313487 9970961 13064051 18571573 23776907 28099981 29355067 44157113 46129391 54516553 85668869 91448357 130001011 204287303 241430449 309099791 322905737 381615871 599682083 910007077 1430011121 1690013143 2655734939 4197774581 10010077847 11830092001 18590144573 130131012011