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1042020101241 = 337172914097937
BaseRepresentation
bin11110010100111010011…
…11001110110001111001
310200121122011122201221000
433022131033032301321
5114033024121214431
62114410351035213
7135166141501560
oct17123517166171
93617564581830
101042020101241
11371a111aa999
12149b4a50bb09
1377353a12982
1438611022bd7
151c18a7819e6
hexf29d3cec79

1042020101241 has 128 divisors (see below), whose sum is σ = 1934077824000. Its totient is φ = 540637396992.

The previous prime is 1042020101209. The next prime is 1042020101279. The reversal of 1042020101241 is 1421010202401.

1042020101241 is a `hidden beast` number, since 1 + 0 + 420 + 2 + 0 + 1 + 0 + 1 + 241 = 666.

It is not a de Polignac number, because 1042020101241 - 25 = 1042020101209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042020001241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131282425 + ... + 131290361.

It is an arithmetic number, because the mean of its divisors is an integer number (15109983000).

Almost surely, 21042020101241 is an apocalyptic number.

It is an amenable number.

1042020101241 is a deficient number, since it is larger than the sum of its proper divisors (892057722759).

1042020101241 is a wasteful number, since it uses less digits than its factorization.

1042020101241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1042020101241 its reverse (1421010202401), we get a palindrome (2463030303642).

The spelling of 1042020101241 in words is "one trillion, forty-two billion, twenty million, one hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 27 29 51 63 87 119 153 189 203 261 357 459 493 609 783 1071 1409 1479 1827 3213 3451 4227 4437 5481 7937 9863 10353 12681 13311 23811 23953 29589 31059 38043 40861 55559 71433 71859 88767 93177 122583 134929 166677 167671 214299 215577 230173 266301 286027 367749 404787 500031 503013 646731 690519 694637 858081 944503 1103247 1214361 1500093 1509039 1611211 2071557 2083911 2574243 2833509 3643083 3912941 4527117 4833633 4862459 6214671 6251733 7722729 8500527 11183233 11738823 14500899 14587377 18755199 25501581 27390587 33549699 35216469 43502697 43762131 78282631 82171761 100649097 105649407 131286393 190114961 234847893 246515283 301947291 324313757 570344883 704543679 739545849 972941271 1330804727 1711034649 2113631037 2270196299 2918823813 3992414181 5133103947 5513333869 6810588897 8756471439 11977242543 16540001607 20431766691 35931727629 38593337083 49620004821 61295300073 115780011249 148860014463 347340033747 1042020101241