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103133012222130 = 235116172473204821
BaseRepresentation
bin10111011100110010000110…
…100011101110000010110010
3111112011102022221112210022020
4113130302012203232002302
5102004212402112102010
61003202352435452310
730503054120502402
oct2734620643560262
9445142287483266
10103133012222130
112a952512800060
12b697a51157096
13457152a921017
141b6794327c802
15bdcad6532470
hex5dcc868ee0b2

103133012222130 has 128 divisors (see below), whose sum is σ = 270569298329856. Its totient is φ = 24951205171200.

The previous prime is 103133012222117. The next prime is 103133012222137. The reversal of 103133012222130 is 31222210331301.

It is a self number, because there is not a number n which added to its sum of digits gives 103133012222130.

It is not an unprimeable number, because it can be changed into a prime (103133012222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503425120 + ... + 503629940.

It is an arithmetic number, because the mean of its divisors is an integer number (2113822643202).

Almost surely, 2103133012222130 is an apocalyptic number.

103133012222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133012222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135284649164928).

103133012222130 is an abundant number, since it is smaller than the sum of its proper divisors (167436286107726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103133012222130 is a wasteful number, since it uses less digits than its factorization.

103133012222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207932.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103133012222130 its reverse (31222210331301), we get a palindrome (134355222553431).

The spelling of 103133012222130 in words is "one hundred three trillion, one hundred thirty-three billion, twelve million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 617 1234 1851 2473 3085 3702 4946 6170 6787 7419 9255 12365 13574 14838 18510 20361 24730 27203 33935 37095 40722 54406 67870 74190 81609 101805 136015 163218 203610 204821 272030 408045 409642 614463 816090 1024105 1228926 1525841 2048210 2253031 3051682 3072315 4506062 4577523 6144630 6759093 7629205 9155046 11265155 13518186 15258410 16784251 22530310 22887615 33568502 33795465 45775230 50352753 67590930 83921255 100705506 126374557 167842510 251763765 252749114 379123671 503527530 506522333 631872785 758247342 1013044666 1263745570 1390120127 1519566999 1895618355 2532611665 2780240254 3039133998 3791236710 4170360381 5065223330 5571745663 6950600635 7597834995 8340720762 11143491326 13901201270 15195669990 16715236989 20851801905 27858728315 33430473978 41703603810 55717456630 83576184945 167152369890 312524279461 625048558922 937572838383 1562621397305 1875145676766 3125242794610 3437767074071 4687864191915 6875534148142 9375728383830 10313301222213 17188835370355 20626602444426 34377670740710 51566506111065 103133012222130