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535116011001 = 3111321943111717
BaseRepresentation
bin1111100100101110110…
…01100101010111111001
31220011020011011220100120
413302113121211113321
532231404144323001
61045455013123453
753442450021225
oct7622731452771
91804204156316
10535116011001
11196a3a0462a0
1287861329589
133b5cc3ccb00
141bc84ccb785
15ddbd97c236
hex7c976655f9

535116011001 has 96 divisors (see below), whose sum is σ = 889323079680. Its totient is φ = 282927340800.

The previous prime is 535116010993. The next prime is 535116011011. The reversal of 535116011001 is 100110611535.

It is a happy number.

It is not a de Polignac number, because 535116011001 - 23 = 535116010993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (535116011011) 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, 45664195 + ... + 45675911.

It is an arithmetic number, because the mean of its divisors is an integer number (9263782080).

Almost surely, 2535116011001 is an apocalyptic number.

It is an amenable number.

535116011001 is a deficient number, since it is larger than the sum of its proper divisors (354207068679).

535116011001 is a wasteful number, since it uses less digits than its factorization.

535116011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

Adding to 535116011001 its reverse (100110611535), we get a palindrome (635226622536).

The spelling of 535116011001 in words is "five hundred thirty-five billion, one hundred sixteen million, eleven thousand, one".

Divisors: 1 3 11 13 19 33 39 57 143 169 209 247 429 431 507 627 741 1293 1859 2717 3211 4741 5577 5603 8151 8189 9633 11717 14223 16809 24567 35151 35321 61633 72839 90079 105963 106457 128887 152321 184899 218517 222623 270237 319371 386661 456963 667869 801229 1171027 1383941 1675531 1980173 2403687 2448853 2894099 3513081 4151823 5026593 5050027 5940519 7346559 8682297 15150081 15223351 21781903 31835089 37623287 45670053 55550297 65345709 65650351 95505267 95950513 112869861 166650891 196951053 287851539 413856157 722153861 853454563 1055455643 1241568471 1247356669 2166461583 2560363689 3166366929 3742070007 9388000193 13720923359 16215636697 28164000579 41162770077 48646910091 178372003667 535116011001