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10133040114315 = 3251760721821753
BaseRepresentation
bin1001001101110100100001…
…0000011010101010001011
31022212201010222200022021200
42103131020100122222023
52312004431232124230
633315015424235243
72064042115556556
oct223351020325213
938781128608250
1010133040114315
113257441a82018
121177a2676bb23
13586706b1b161
1427062828369d
151288b4b21160
hex9374841aa8b

10133040114315 has 48 divisors (see below), whose sum is σ = 18627747510528. Its totient is φ = 5078008977408.

The previous prime is 10133040114313. The next prime is 10133040114347. The reversal of 10133040114315 is 51341104033101.

10133040114315 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 4 + 0 + 1 + 14 + 315 = 666.

It is not a de Polignac number, because 10133040114315 - 21 = 10133040114313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133040114313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10446522 + ... + 11375231.

It is an arithmetic number, because the mean of its divisors is an integer number (388078073136).

Almost surely, 210133040114315 is an apocalyptic number.

10133040114315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10133040114315 is a deficient number, since it is larger than the sum of its proper divisors (8494707396213).

10133040114315 is a wasteful number, since it uses less digits than its factorization.

10133040114315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21822388 (or 21822385 counting only the distinct ones).

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

Adding to 10133040114315 its reverse (51341104033101), we get a palindrome (61474144147416).

The spelling of 10133040114315 in words is "ten trillion, one hundred thirty-three billion, forty million, one hundred fourteen thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 607 765 1821 3035 5463 9105 10319 27315 30957 51595 92871 154785 464355 21821753 65465259 109108765 196395777 327326295 370969801 981978885 1112909403 1854849005 3338728209 5564547015 13245804071 16693641045 39737412213 66229020355 119212236639 198687061065 225178669207 596061183195 675536007621 1125893346035 2026608022863 3377680038105 10133040114315