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10104432220 = 2252330771551
BaseRepresentation
bin10010110100100010…
…10110011001011100
3222002012021100012101
421122101112121130
5131143213312340
64350353014444
7505253154031
oct113221263134
928065240171
1010104432220
114315763533
121b5bb54424
13c5052349c
146bbd89388
153e213ac9a
hex25a45665c

10104432220 has 48 divisors (see below), whose sum is σ = 22214320128. Its totient is φ = 3853396800.

The previous prime is 10104432187. The next prime is 10104432229. The reversal of 10104432220 is 2223440101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104432229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105445 + ... + 176995.

It is an arithmetic number, because the mean of its divisors is an integer number (462798336).

Almost surely, 210104432220 is an apocalyptic number.

10104432220 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 10104432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107160064).

10104432220 is an abundant number, since it is smaller than the sum of its proper divisors (12109887908).

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

10104432220 is a wasteful number, since it uses less digits than its factorization.

10104432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71890 (or 71888 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10104432220 its reverse (2223440101), we get a palindrome (12327872321).

The spelling of 10104432220 in words is "ten billion, one hundred four million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 307 460 614 1228 1535 3070 6140 7061 14122 28244 35305 70610 71551 141220 143102 286204 357755 715510 1431020 1645673 3291346 6582692 8228365 16456730 21966157 32913460 43932314 87864628 109830785 219661570 439323140 505221611 1010443222 2020886444 2526108055 5052216110 10104432220