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103030120300120 = 235133893121163199
BaseRepresentation
bin10111011011010010010001…
…101110001011111001011000
3111111210120202020020120211221
4113123102101232023321120
5102001021141244100440
61003043214524501424
730462452266546366
oct2733222156137130
9444716666216757
10103030120300120
112a912912a13172
12b67bb169aa874
134564910c3b630
141b6298210a636
15bda0b34a1d4a
hex5db491b8be58

103030120300120 has 128 divisors (see below), whose sum is σ = 250373410560000. Its totient is φ = 37931706408960.

The previous prime is 103030120300103. The next prime is 103030120300123. The reversal of 103030120300120 is 21003021030301.

It is a junction number, because it is equal to n+sod(n) for n = 103030120300094 and 103030120300103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103030120300123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631234281 + ... + 631397479.

It is an arithmetic number, because the mean of its divisors is an integer number (1956042270000).

Almost surely, 2103030120300120 is an apocalyptic number.

103030120300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103030120300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125186705280000).

103030120300120 is an abundant number, since it is smaller than the sum of its proper divisors (147343290259880).

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

103030120300120 is a wasteful number, since it uses less digits than its factorization.

103030120300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166733 (or 166729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103030120300120 its reverse (21003021030301), we get a palindrome (124033141330421).

The spelling of 103030120300120 in words is "one hundred three trillion, thirty billion, one hundred twenty million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 389 520 778 1556 1945 3112 3121 3890 5057 6242 7780 10114 12484 15560 15605 20228 24968 25285 31210 40456 40573 50570 62420 81146 101140 124840 162292 163199 202280 202865 324584 326398 405730 652796 811460 815995 1214069 1305592 1622920 1631990 2121587 2428138 3263980 4243174 4856276 6070345 6527960 8486348 9712552 10607935 12140690 15782897 16972696 21215870 24281380 31565794 42431740 48562760 63131588 63484411 78914485 84863480 126263176 126968822 157828970 253937644 315657940 317422055 507875288 509344079 631315880 634844110 825297343 1018688158 1269688220 1650594686 2037376316 2539376440 2546720395 3301189372 4074752632 4126486715 5093440790 6602378744 6621473027 8252973430 10186881580 13242946054 16505946860 20373763160 26485892108 33011893720 33107365135 52971784216 66214730270 132429460540 198134846731 264858921080 396269693462 792539386924 990674233655 1585078773848 1981348467310 2575753007503 3962696934620 5151506015006 7925393869240 10303012030012 12878765037515 20606024060024 25757530075030 51515060150060 103030120300120