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20201121011313 = 321137431131134989
BaseRepresentation
bin1001001011111011100001…
…01001000101011001110001
32122112012121212010110120200
410211331300221011121301
510121433343434330223
6110544133351225413
74153324416302304
oct445756051053161
978465555113520
1020201121011313
11648927a194670
122323142678269
13b36c5a92c3c8
144dba4d18ab3b
15250726941a43
hex125f70a45671

20201121011313 has 96 divisors (see below), whose sum is σ = 33748755131520. Its totient is φ = 11532204472320.

The previous prime is 20201121011299. The next prime is 20201121011321. The reversal of 20201121011313 is 31311012110202.

20201121011313 is a `hidden beast` number, since 20 + 201 + 121 + 0 + 11 + 313 = 666.

It is not a de Polignac number, because 20201121011313 - 213 = 20201121003121 is a prime.

It is a super-2 number, since 2×202011210113132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20201121011353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17231023 + ... + 18366011.

It is an arithmetic number, because the mean of its divisors is an integer number (351549532620).

Almost surely, 220201121011313 is an apocalyptic number.

It is an amenable number.

20201121011313 is a deficient number, since it is larger than the sum of its proper divisors (13547634120207).

20201121011313 is a wasteful number, since it uses less digits than its factorization.

20201121011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135199 (or 1135196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20201121011313 its reverse (31311012110202), we get a palindrome (51512133121515).

The spelling of 20201121011313 in words is "twenty trillion, two hundred one billion, one hundred twenty-one million, eleven thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 37 43 99 111 113 129 333 339 387 407 473 1017 1221 1243 1419 1591 3663 3729 4181 4257 4773 4859 11187 12543 14319 14577 17501 37629 43731 45991 52503 53449 137973 157509 160347 179783 413919 481041 539349 1134989 1618047 1977613 3404967 5932839 10214901 12484879 17798517 37454637 41994593 48804527 112363911 125983779 128253757 146413581 377951337 384761271 439240743 461940523 536849797 1154283813 1385821569 1410791327 1610549391 1805767499 4157464707 4232373981 4745389009 4831648173 5417302497 5514911551 12697121943 14236167027 16251907491 16544734653 19863442489 42708501081 49634203959 52199279099 59590327467 60664027061 156597837297 178770982401 181992081183 204051727387 469793511891 545976243549 612155182161 1836465546483 2244569001257 6733707003771 20201121011313