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22323513135 = 35711293112143
BaseRepresentation
bin10100110010100101…
…011100011100101111
32010121202121222001210
4110302211130130233
5331204304410020
614131050205503
71420124505450
oct246245343457
963552558053
1022323513135
11951604a910
1243b0123893
132149b93291
14111ab15127
158a9c343e0
hex53295c72f

22323513135 has 128 divisors (see below), whose sum is σ = 46236303360. Its totient is φ = 8924428800.

The previous prime is 22323513131. The next prime is 22323513169. The reversal of 22323513135 is 53131532322.

It is a happy number.

It is not a de Polignac number, because 22323513135 - 22 = 22323513131 is a prime.

It is a super-3 number, since 3×223235131353 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323513131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10415874 + ... + 10418016.

It is an arithmetic number, because the mean of its divisors is an integer number (361221120).

Almost surely, 222323513135 is an apocalyptic number.

22323513135 is an abundant number, since it is smaller than the sum of its proper divisors (23912790225).

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

22323513135 is a wasteful number, since it uses less digits than its factorization.

22323513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509.

The product of its digits is 16200, while the sum is 30.

The spelling of 22323513135 in words is "twenty-two billion, three hundred twenty-three million, five hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 165 203 231 311 319 385 435 609 933 957 1015 1155 1555 1595 2143 2177 2233 3045 3421 4665 4785 6429 6531 6699 9019 10263 10715 10885 11165 15001 17105 23573 23947 27057 32145 32655 33495 45003 45095 51315 62147 63133 70719 71841 75005 99209 117865 119735 135285 165011 186441 189399 225015 297627 310735 315665 353595 359205 435029 495033 496045 666473 683617 694463 825055 932205 946995 1305087 1488135 1999419 2050851 2083389 2175145 2475165 3332365 3418085 3472315 4665311 4785319 6525435 7331203 9997095 10254255 10416945 13995933 14355957 19327717 21993609 23326555 23926595 36656015 51318421 57983151 69979665 71779785 96638585 109968045 135294019 153955263 212604887 256592105 289915755 405882057 637814661 676470095 769776315 1063024435 1488234209 2029410285 3189073305 4464702627 7441171045 22323513135