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10003231220 = 2257914942491
BaseRepresentation
bin10010101000011110…
…10011000111110100
3221211010211210112012
421110033103013310
5130441311344340
64332335543352
7502614030263
oct112417230764
927733753465
1010003231220
114273621744
121b3208ab58
13c3557c138
146ac7645da
153d82ea565
hex2543d31f4

10003231220 has 48 divisors (see below), whose sum is σ = 21415968000. Its totient is φ = 3924036480.

The previous prime is 10003231181. The next prime is 10003231223. The reversal of 10003231220 is 2213230001.

It is a happy number.

10003231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10003231195 and 10003231204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003231223) 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, 214175 + ... + 256665.

It is an arithmetic number, because the mean of its divisors is an integer number (446166000).

Almost surely, 210003231220 is an apocalyptic number.

10003231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003231220 is an abundant number, since it is smaller than the sum of its proper divisors (11412736780).

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

10003231220 is a wasteful number, since it uses less digits than its factorization.

10003231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42728 (or 42726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10003231220 its reverse (2213230001), we get a palindrome (12216461221).

The spelling of 10003231220 in words is "ten billion, three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 149 158 298 316 395 596 745 790 1490 1580 2980 11771 23542 42491 47084 58855 84982 117710 169964 212455 235420 424910 849820 3356789 6331159 6713578 12662318 13427156 16783945 25324636 31655795 33567890 63311590 67135780 126623180 500161561 1000323122 2000646244 2500807805 5001615610 10003231220