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20122435017 = 3323316715601
BaseRepresentation
bin10010101111011000…
…111111110111001001
31220221100220121112000
4102233120333313021
5312202320410032
613124421341213
71311436606206
oct225730776711
956840817460
1020122435017
118596654293
123a96b67809
131b88b74ca9
14d8c676cad
157cb8a2e7c
hex4af63fdc9

20122435017 has 64 divisors (see below), whose sum is σ = 32591953920. Its totient is φ = 12231648000.

The previous prime is 20122435007. The next prime is 20122435019. The reversal of 20122435017 is 71053422102.

20122435017 is a `hidden beast` number, since 201 + 22 + 435 + 0 + 1 + 7 = 666.

It is not a de Polignac number, because 20122435017 - 211 = 20122432969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20122435019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282017 + ... + 1297617.

It is an arithmetic number, because the mean of its divisors is an integer number (509249280).

Almost surely, 220122435017 is an apocalyptic number.

20122435017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20122435017 is a deficient number, since it is larger than the sum of its proper divisors (12469518903).

20122435017 is a wasteful number, since it uses less digits than its factorization.

20122435017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731 (or 15725 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 20122435017 its reverse (71053422102), we get a palindrome (91175857119).

The spelling of 20122435017 in words is "twenty billion, one hundred twenty-two million, four hundred thirty-five thousand, seventeen".

Divisors: 1 3 9 23 27 31 67 69 93 201 207 279 603 621 713 837 1541 1809 2077 2139 4623 6231 6417 13869 15601 18693 19251 41607 46803 47771 56079 140409 143313 358823 421227 429939 483631 1045267 1076469 1289817 1450893 3135801 3229407 4352679 9407403 9688221 11123513 13058037 24041141 28222209 32403277 33370539 72123423 97209831 100111617 216370269 291629493 300334851 649110807 745275371 874888479 2235826113 6707478339 20122435017