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103021122003120 = 24325479298715849
BaseRepresentation
bin10111011011001001111001…
…011000011010000010110000
3111111202201112010100201220200
4113123021321120122002300
5102000344224213044440
61003035130004035200
730462013304360346
oct2733117130320260
9444681463321820
10103021122003120
112a90a015685482
12b67a225392b00
134563b08936539
141b6236b019996
15bd9c3850ec30
hex5db27961a0b0

103021122003120 has 120 divisors (see below), whose sum is σ = 346701564144000. Its totient is φ = 27414945666048.

The previous prime is 103021122003101. The next prime is 103021122003197. The reversal of 103021122003120 is 21300221120301.

103021122003120 is a `hidden beast` number, since 1 + 0 + 302 + 112 + 200 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1030211220031202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103021122003093 and 103021122003102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149013045 + ... + 149702804.

It is an arithmetic number, because the mean of its divisors is an integer number (2889179701200).

Almost surely, 2103021122003120 is an apocalyptic number.

103021122003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103021122003120 is an abundant number, since it is smaller than the sum of its proper divisors (243680442140880).

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

103021122003120 is a wasteful number, since it uses less digits than its factorization.

103021122003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298716347 (or 298716338 counting only the distinct ones).

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

Adding to 103021122003120 its reverse (21300221120301), we get a palindrome (124321343123421).

The spelling of 103021122003120 in words is "one hundred three trillion, twenty-one billion, one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 479 720 958 1437 1916 2395 2874 3832 4311 4790 5748 7185 7664 8622 9580 11496 14370 17244 19160 21555 22992 28740 34488 38320 43110 57480 68976 86220 114960 172440 344880 298715849 597431698 896147547 1194863396 1493579245 1792295094 2389726792 2688442641 2987158490 3584590188 4480737735 4779453584 5376885282 5974316980 7169180376 8961475470 10753770564 11948633960 13442213205 14338360752 17922950940 21507541128 23897267920 26884426410 35845901880 43015082256 53768852820 71691803760 107537705640 143084891671 215075411280 286169783342 429254675013 572339566684 715424458355 858509350026 1144679133368 1287764025039 1430848916710 1717018700052 2146273375065 2289358266736 2575528050078 2861697833420 3434037400104 4292546750130 5151056100156 5723395666840 6438820125195 6868074800208 8585093500260 10302112200312 11446791333680 12877640250390 17170187000520 20604224400624 25755280500780 34340374001040 51510561001560 103021122003120