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213011444110424 = 231741179237190011
BaseRepresentation
bin110000011011101110010111…
…011101011001010001011000
31000221012200202210020122001112
4300123232113131121101120
5210404434414143013144
62033012035001035452
762603366105401511
oct6033562735312130
91027180683218045
10213011444110424
1161965712004643
121ba83065785b88
1391b1b7bb8896b
143a85b478c3a08
151995db328d99e
hexc1bb97759458

213011444110424 has 128 divisors (see below), whose sum is σ = 435813476716800. Its totient is φ = 97207343616000.

The previous prime is 213011444110417. The next prime is 213011444110433. The reversal of 213011444110424 is 424011444110312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366459579 + ... + 2366549589.

It is an arithmetic number, because the mean of its divisors is an integer number (3404792786850).

Almost surely, 2213011444110424 is an apocalyptic number.

It is an amenable number.

213011444110424 is an abundant number, since it is smaller than the sum of its proper divisors (222802032606376).

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

213011444110424 is a wasteful number, since it uses less digits than its factorization.

213011444110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92625 (or 92621 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 213011444110424 its reverse (424011444110312), we get a palindrome (637022888220736).

The spelling of 213011444110424 in words is "two hundred thirteen trillion, eleven billion, four hundred forty-four million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 179 328 358 697 716 1394 1432 2371 2788 3043 4742 5576 6086 7339 9484 12172 14678 18968 24344 29356 40307 58712 80614 90011 97211 124763 161228 180022 194422 249526 322456 360044 388844 424409 499052 720088 777688 848818 998104 1530187 1652587 1697636 3060374 3305174 3395272 3690451 6120748 6610348 7214953 7380902 12241496 13220696 14429906 14761804 16111969 17400769 28859812 29523608 32223938 34801538 57719624 62737667 64447876 69603076 125475334 128895752 139206152 213416081 250950668 273903473 295813073 426832162 501901336 547806946 591626146 660590729 853664324 1095613892 1183252292 1321181458 1707328648 2191227784 2366504584 2642362916 3628073377 5284725832 7256146754 8750059321 11230042393 14512293508 17500118642 22460084786 29024587016 35000237284 38201478499 44920169572 70000474568 76402956998 89840339144 148751008457 152805913996 297502016914 305611827992 595004033828 649425134483 1190008067656 1298850268966 1566260618459 2597700537932 3132521236918 5195401075864 6265042473836 12530084947672 26626430513803 53252861027606 106505722055212 213011444110424