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10303012120 = 235299779091
BaseRepresentation
bin10011001100001101…
…10111110100011000
3222121000221020121111
421212012313310120
5132100032341440
64422205150104
7513214105132
oct114606676430
928530836544
1010303012120
114407866555
121bb655b334
13c8270129b
146da4bc052
154047b44ea
hex2661b7d18

10303012120 has 64 divisors (see below), whose sum is σ = 24008335200. Its totient is φ = 3974584320.

The previous prime is 10303012073. The next prime is 10303012141. The reversal of 10303012120 is 2121030301.

10303012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10303012120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1128775 + ... + 1137865.

Almost surely, 210303012120 is an apocalyptic number.

10303012120 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 10303012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004167600).

10303012120 is an abundant number, since it is smaller than the sum of its proper divisors (13705323080).

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

10303012120 is a wasteful number, since it uses less digits than its factorization.

10303012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10303012120 its reverse (2121030301), we get a palindrome (12424042421).

The spelling of 10303012120 in words is "ten billion, three hundred three million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 977 1160 1954 3908 4885 7816 9091 9770 18182 19540 28333 36364 39080 45455 56666 72728 90910 113332 141665 181820 226664 263639 283330 363640 527278 566660 1054556 1133320 1318195 2109112 2636390 5272780 8881907 10545560 17763814 35527628 44409535 71055256 88819070 177638140 257575303 355276280 515150606 1030301212 1287876515 2060602424 2575753030 5151506060 10303012120