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1020114132165 = 33523292390653
BaseRepresentation
bin11101101100000111000…
…10100101110011000101
310121112002111201012122000
432312003202211303011
5113203143204212130
62100344534055513
7133462244024532
oct16660342456305
93545074635560
101020114132165
1136369a919117
121458561aa599
13752724c45ab
143753395bd89
151b807529260
hexed838a5cc5

1020114132165 has 96 divisors (see below), whose sum is σ = 1959895491840. Its totient is φ = 502459727616.

The previous prime is 1020114132143. The next prime is 1020114132173. The reversal of 1020114132165 is 5612314110201.

1020114132165 is a `hidden beast` number, since 1 + 0 + 20 + 11 + 413 + 216 + 5 = 666.

1020114132165 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020114132165 - 25 = 1020114132133 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2415979 + ... + 2806631.

It is an arithmetic number, because the mean of its divisors is an integer number (20415578040).

Almost surely, 21020114132165 is an apocalyptic number.

1020114132165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020114132165 is a deficient number, since it is larger than the sum of its proper divisors (939781359675).

1020114132165 is a wasteful number, since it uses less digits than its factorization.

1020114132165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390748 (or 390713 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1020114132165 its reverse (5612314110201), we get a palindrome (6632428242366).

The spelling of 1020114132165 in words is "one trillion, twenty billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 23 27 29 45 69 87 115 135 145 207 261 345 435 621 667 783 841 1035 1305 2001 2523 3105 3335 3915 4205 6003 7569 10005 12615 18009 19343 22707 30015 37845 58029 90045 96715 113535 174087 290145 390653 522261 870435 1171959 1953265 2611305 3515877 5859795 8985019 10547631 11328937 17579385 26955057 33986811 44925095 52738155 56644685 80865171 101960433 134775285 169934055 242595513 260565551 305881299 328539173 404325855 509802165 781696653 985617519 1212977565 1302827755 1529406495 1642695865 2345089959 2956852557 3908483265 4928087595 7035269877 7556400979 8870557671 11725449795 14784262785 22669202937 35176349385 37782004895 44352788355 68007608811 113346014685 204022826433 340038044055 1020114132165