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213306402309 = 37112132598419
BaseRepresentation
bin1100011010101000001…
…1010110011000000101
3202101120200121221220120
43012222003112120011
511443322414333214
6241554104252153
721260634334560
oct3065203263005
9671520557816
10213306402309
118250a9a3200
123540ba71059
1317165020b00
14a4774094d7
15583674bea9
hex31aa0d6605

213306402309 has 144 divisors (see below), whose sum is σ = 393474009600. Its totient is φ = 100539204480.

The previous prime is 213306402299. The next prime is 213306402311. The reversal of 213306402309 is 903204603312.

It is not a de Polignac number, because 213306402309 - 213 = 213306394117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 213306402309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213306402329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25332102 + ... + 25340520.

It is an arithmetic number, because the mean of its divisors is an integer number (2732458400).

Almost surely, 2213306402309 is an apocalyptic number.

It is an amenable number.

213306402309 is a deficient number, since it is larger than the sum of its proper divisors (180167607291).

213306402309 is a wasteful number, since it uses less digits than its factorization.

213306402309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 213306402309 in words is "two hundred thirteen billion, three hundred six million, four hundred two thousand, three hundred nine".

Divisors: 1 3 7 11 13 21 33 39 59 77 91 121 143 169 177 231 273 363 413 429 507 649 767 847 1001 1183 1239 1573 1859 1947 2301 2541 3003 3549 4543 4719 5369 5577 7139 8419 8437 9971 11011 13013 13629 16107 20449 21417 25257 25311 29913 33033 39039 49973 58933 59059 61347 69797 92609 92807 109447 109681 143143 149919 176799 177177 209391 277827 278421 328341 329043 429429 496721 648263 649649 766129 767767 1018699 1203917 1206491 1422811 1490163 1944789 1948947 2298387 2303301 3056097 3477047 3611751 3619473 4268433 5463931 6457373 7130893 8427419 8445437 9959677 10431141 13243087 15650921 16391793 19372119 21392679 25282257 25336311 29879031 38247517 39729261 45201611 46952763 60103241 71031103 83945849 92701609 109556447 114742551 135604833 172160131 180309723 213093309 251837547 278104827 328669341 420722687 497217721 516480393 587620943 781342133 923404339 1205120917 1262168061 1491653163 1762862829 2344026399 2770213017 3615362751 5469394931 6463830373 10157447729 16408184793 19391491119 30472343187 71102134103 213306402309