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10342300403133 = 3317109230989527
BaseRepresentation
bin1001011010000000000100…
…1001000100010110111101
31100121201021200211101221000
42112200001021010112331
52323422012400400013
633555104234400513
72115130562641266
oct226400111042675
940551250741830
1010342300403133
113328165a55276
1211b04a7590139
135a03757c316a
1427a7da17396d
1512e061039973
hex968012445bd

10342300403133 has 64 divisors (see below), whose sum is σ = 16379326656000. Its totient is φ = 6426895352832.

The previous prime is 10342300403101. The next prime is 10342300403143. The reversal of 10342300403133 is 33130400324301.

10342300403133 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 300 + 40 + 313 + 3 = 666.

It is not a de Polignac number, because 10342300403133 - 25 = 10342300403101 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10342300403097 and 10342300403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342300403143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115476816 + ... + 115566342.

It is an arithmetic number, because the mean of its divisors is an integer number (255926979000).

Almost surely, 210342300403133 is an apocalyptic number.

It is an amenable number.

10342300403133 is a deficient number, since it is larger than the sum of its proper divisors (6037026252867).

10342300403133 is a wasteful number, since it uses less digits than its factorization.

10342300403133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91971 (or 91965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10342300403133 its reverse (33130400324301), we get a palindrome (43472700727434).

The spelling of 10342300403133 in words is "ten trillion, three hundred forty-two billion, three hundred million, four hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 51 109 153 327 459 981 1853 2309 2943 5559 6927 16677 20781 39253 50031 62343 89527 117759 251681 268581 353277 755043 805743 1059831 1521959 2265129 2417229 4278577 4565877 6795387 9758443 12835731 13697631 29275329 38507193 41092893 87825987 115521579 165893531 206717843 263477961 497680593 620153529 1493041779 1860460587 3514203331 4479125337 5581381761 10542609993 22532244887 31627829979 67596734661 94883489937 202790203983 383048163079 608370611949 1149144489237 3447433467711 10342300403133