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10103221020 = 2235947177811
BaseRepresentation
bin10010110100011001…
…01110101100011100
3222002002222210202010
421122030232230130
5131142411033040
64350311031220
7505236650604
oct113214565434
928062883663
1010103221020
114315006542
121b5b66b510
13c501bb0b9
146bbb51c04
153e1e9be80
hex25a32eb1c

10103221020 has 48 divisors (see below), whose sum is σ = 28319050368. Its totient is φ = 2691332160.

The previous prime is 10103220997. The next prime is 10103221027. The reversal of 10103221020 is 2012230101.

10103221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10103220987 and 10103221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103221027) 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 15 ways as a sum of consecutive naturals, for example, 32086 + ... + 145725.

It is an arithmetic number, because the mean of its divisors is an integer number (589980216).

Almost surely, 210103221020 is an apocalyptic number.

10103221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103221020 is an abundant number, since it is smaller than the sum of its proper divisors (18215829348).

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

10103221020 is a wasteful number, since it uses less digits than its factorization.

10103221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178770 (or 178768 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10103221020 its reverse (2012230101), we get a palindrome (12115451121).

The spelling of 10103221020 in words is "ten billion, one hundred three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 947 1894 2841 3788 4735 5682 9470 11364 14205 18940 28410 56820 177811 355622 533433 711244 889055 1066866 1778110 2133732 2667165 3556220 5334330 10668660 168387017 336774034 505161051 673548068 841935085 1010322102 1683870170 2020644204 2525805255 3367740340 5051610510 10103221020