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103010242010301 = 3237909134027067
BaseRepresentation
bin10111011010111111110000…
…111000100001110010111101
3111111201200102212201211120200
4113122333300320201302331
5102000204433423312201
61003030130224034113
730461146553065563
oct2732776070416275
9444650385654520
10103010242010301
112a90544216387a
12b6780a9762939
134562a93839172
141b61a18067a33
15bd97ed278386
hex5daff0e21cbd

103010242010301 has 24 divisors (see below), whose sum is σ = 152830806514464. Its totient is φ = 66810102467040.

The previous prime is 103010242010293. The next prime is 103010242010327.

103010242010301 is a `hidden beast` number, since 10 + 30 + 102 + 420 + 103 + 0 + 1 = 666.

103010242010301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103010242010301 - 23 = 103010242010293 is a prime.

It is a super-2 number, since 2×1030102420103012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010242010201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13986231 + ... + 20040836.

It is an arithmetic number, because the mean of its divisors is an integer number (6367950271436).

Almost surely, 2103010242010301 is an apocalyptic number.

It is an amenable number.

103010242010301 is a deficient number, since it is larger than the sum of its proper divisors (49820564504163).

103010242010301 is a wasteful number, since it uses less digits than its factorization.

103010242010301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34036201 (or 34036198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 103010242010301 in words is "one hundred three trillion, ten billion, two hundred forty-two million, ten thousand, three hundred one".

Divisors: 1 3 9 37 111 333 9091 27273 81819 336367 1009101 3027303 34027067 102081201 306243603 1259001479 3777004437 11331013311 309340066097 928020198291 2784060594873 11445582445589 34336747336767 103010242010301