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20122411311 = 36139349569
BaseRepresentation
bin10010101111011000…
…111010000100101111
31220221100212102000000
4102233120322010233
5312202314130221
613124421035343
71311436450122
oct225730720457
956840772000
1020122411311
1185966384a2
123a96b55b53
131b88b67272
14d8c66c3b9
157cb89ae26
hex4af63a12f

20122411311 has 56 divisors (see below), whose sum is σ = 30527490000. Its totient is φ = 13256929152.

The previous prime is 20122411297. The next prime is 20122411313. The reversal of 20122411311 is 11311422102.

20122411311 is a `hidden beast` number, since 201 + 22 + 411 + 31 + 1 = 666.

It is not a de Polignac number, because 20122411311 - 26 = 20122411247 is a prime.

It is a super-2 number, since 2×201224113112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122411313) 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 55 ways as a sum of consecutive naturals, for example, 35364235 + ... + 35364803.

It is an arithmetic number, because the mean of its divisors is an integer number (545133750).

Almost surely, 220122411311 is an apocalyptic number.

20122411311 is a deficient number, since it is larger than the sum of its proper divisors (10405078689).

20122411311 is an equidigital number, since it uses as much as digits as its factorization.

20122411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20122411311 its reverse (11311422102), we get a palindrome (31433833413).

The spelling of 20122411311 in words is "twenty billion, one hundred twenty-two million, four hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 27 81 139 243 349 417 569 729 1047 1251 1707 3141 3753 5121 9423 11259 15363 28269 33777 46089 48511 79091 84807 101331 138267 145533 198581 237273 254421 414801 436599 595743 711819 1309797 1787229 2135457 3929391 5361687 6406371 11788173 16085061 19219113 27602759 35364519 48255183 57657339 82808277 144765549 248424831 745274493 2235823479 6707470437 20122411311