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13021012011 = 37217231012243
BaseRepresentation
bin11000010000001110…
…01110000000101011
31020121110022221112010
430020013032000223
5203131334341021
65552021251003
7640446530100
oct141007160053
936543287463
1013021012011
115582027057
122634863a63
1312c684a947
148b7478aa7
15513202976
hex3081ce02b

13021012011 has 96 divisors (see below), whose sum is σ = 22544552448. Its totient is φ = 6629145600.

The previous prime is 13021011911. The next prime is 13021012013. The reversal of 13021012011 is 11021012031.

It is not a de Polignac number, because 13021012011 - 226 = 12953903147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13021012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5804056 + ... + 5806298.

It is an arithmetic number, because the mean of its divisors is an integer number (234839088).

Almost surely, 213021012011 is an apocalyptic number.

13021012011 is a deficient number, since it is larger than the sum of its proper divisors (9523540437).

13021012011 is a wasteful number, since it uses less digits than its factorization.

13021012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13021012011 its reverse (11021012031), we get a palindrome (24042024042).

The spelling of 13021012011 in words is "thirteen billion, twenty-one million, twelve thousand, eleven".

Divisors: 1 3 7 17 21 23 49 51 69 101 119 147 161 303 357 391 483 707 833 1127 1173 1717 2121 2243 2323 2499 2737 3381 4949 5151 6729 6969 8211 12019 14847 15701 16261 19159 36057 38131 39491 47103 48783 51589 57477 84133 109907 113827 114393 118473 154767 226543 252399 266917 276437 329721 341481 361123 679629 800751 829311 877013 1083369 1585801 1868419 1935059 2527861 2631039 3851231 4757403 5210489 5605257 5805177 6139091 7583583 11100607 11553693 15631467 18417273 26958617 33301821 36473423 42973637 80875851 88578313 109420269 128920911 188710319 255313961 265734939 566130957 620048191 765941883 1860144573 4340337337 13021012011