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2141102011412 = 22713191272437691
BaseRepresentation
bin11111001010000011100…
…111111111010000010100
321120200120002011201011202
4133022003213333100110
5240034434103331122
64315335250452032
7310455334545440
oct37120347772024
97520502151152
102141102011412
117560442a3461
122a6b62894018
13126b9c52c710
14758b65c1820
153aa65830e92
hex1f2839ff414

2141102011412 has 96 divisors (see below), whose sum is σ = 4892545351680. Its totient is φ = 796130052480.

The previous prime is 2141102011379. The next prime is 2141102011417.

2141102011412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141102011417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340514 + ... + 2097177.

It is an arithmetic number, because the mean of its divisors is an integer number (50964014080).

Almost surely, 22141102011412 is an apocalyptic number.

It is an amenable number.

2141102011412 is an abundant number, since it is smaller than the sum of its proper divisors (2751443340268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141102011412 is a wasteful number, since it uses less digits than its factorization.

2141102011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437861 (or 2437859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 2141102011412 in words is "two trillion, one hundred forty-one billion, one hundred two million, eleven thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 127 133 182 247 254 266 364 494 508 532 889 988 1651 1729 1778 2413 3302 3458 3556 4826 6604 6916 9652 11557 16891 23114 31369 33782 46228 62738 67564 125476 219583 439166 878332 2437691 4875382 9750764 17063837 31689983 34127674 46316129 63379966 68255348 92632258 126759932 185264516 221829881 309586757 324212903 443659762 602109677 619173514 648425806 887319524 1204219354 1238347028 1296851612 2167107299 2408438708 4024627841 4214767739 4334214598 5882148383 8049255682 8429535478 8668429196 11764296766 16098511364 16859070956 23528593532 28172394887 41175038681 56344789774 76467928979 82350077362 112689579548 152935857958 164700154724 305871715916 535275502853 1070551005706 2141102011412