Search a number
-
+
101101110601005 = 3356715797078891
BaseRepresentation
bin10110111111001101101111…
…110010001010010100101101
3111020222011122020011200012000
4112333031233302022110231
5101222420033303213010
6555005113052202513
730203212524624504
oct2677155762122455
9436864566150160
10101101110601005
112a239816263139
12b40a0a5469439
134454a42044178
141ad74699b783b
15ba4d129ec7c0
hex5bf36fc8a52d

101101110601005 has 64 divisors (see below), whose sum is σ = 182533477555200. Its totient is φ = 53082160971840.

The previous prime is 101101110600977. The next prime is 101101110601009. The reversal of 101101110601005 is 500106011101101.

It is a happy number.

It is not a de Polignac number, because 101101110601005 - 213 = 101101110592813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110601009) 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, 10742610 + ... + 17821500.

It is an arithmetic number, because the mean of its divisors is an integer number (2852085586800).

Almost surely, 2101101110601005 is an apocalyptic number.

101101110601005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101101110601005 is a deficient number, since it is larger than the sum of its proper divisors (81432366954195).

101101110601005 is a wasteful number, since it uses less digits than its factorization.

101101110601005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080551 (or 7080545 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 101101110601005 its reverse (500106011101101), we get a palindrome (601207121702106).

The spelling of 101101110601005 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, six hundred one thousand, five".

Divisors: 1 3 5 9 15 27 45 67 135 201 335 603 1005 1579 1809 3015 4737 7895 9045 14211 23685 42633 71055 105793 213165 317379 528965 952137 1586895 2856411 4760685 7078891 14282055 21236673 35394455 63710019 106183365 191130057 318550095 474285697 955650285 1422857091 2371428485 4268571273 7114285455 11177568889 12805713819 21342856365 33532706667 55887844445 64028569095 100598120001 167663533335 301794360003 502990600005 748897115563 1508971800015 2246691346689 3744485577815 6740074040067 11233456733445 20220222120201 33700370200335 101101110601005