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1030165120413 = 3311132231196471
BaseRepresentation
bin11101111110110101010…
…00000100010110011101
310122111000222102022111000
432333122220010112131
5113334234232323123
62105130141420513
7134266311021342
oct16773250042635
93574028368430
101030165120413
11367988399380
121477a026a739
13761b4924c10
1437c087947c9
151bbe4b09b43
hexefdaa0459d

1030165120413 has 64 divisors (see below), whose sum is σ = 1801025372160. Its totient is φ = 573731294400.

The previous prime is 1030165120393. The next prime is 1030165120421. The reversal of 1030165120413 is 3140215610301.

It is a happy number.

1030165120413 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 651 + 2 + 0 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 1030165120413 - 217 = 1030164989341 is a prime.

It is a super-2 number, since 2×10301651204132 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030165121413) 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, 262768 + ... + 1459238.

It is an arithmetic number, because the mean of its divisors is an integer number (28141021440).

Almost surely, 21030165120413 is an apocalyptic number.

1030165120413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030165120413 is a deficient number, since it is larger than the sum of its proper divisors (770860251747).

1030165120413 is a wasteful number, since it uses less digits than its factorization.

1030165120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196727 (or 1196721 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1030165120413 in words is "one trillion, thirty billion, one hundred sixty-five million, one hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 223 297 351 429 669 1287 2007 2453 2899 3861 6021 7359 8697 22077 26091 31889 66231 78273 95667 287001 861003 1196471 3589413 10768239 13161181 15554123 32304717 39483543 46662369 118450629 139987107 171095353 266813033 355351887 419961321 513286059 800439099 1539858177 2401317297 2934943363 3468569429 4619574531 7203951891 8804830089 10405708287 26414490267 31217124861 38154263719 79243470801 93651374583 114462791157 343388373471 1030165120413