Search a number
-
+
10203112220 = 2257229273557
BaseRepresentation
bin10011000000010011…
…10010001100011100
3222100001221210201012
421200021302030130
5131343444042340
64404240034352
7510562010600
oct114011621434
928301853635
1010203112220
114366433254
121b890029b8
13c67ac4212
146cb115500
153eab2e565
hex26027231c

10203112220 has 72 divisors (see below), whose sum is σ = 24940270656. Its totient is φ = 3496031616.

The previous prime is 10203112217. The next prime is 10203112261. The reversal of 10203112220 is 2221130201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10203112195 and 10203112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2866682 + ... + 2870238.

It is an arithmetic number, because the mean of its divisors is an integer number (346392648).

Almost surely, 210203112220 is an apocalyptic number.

10203112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203112220 is an abundant number, since it is smaller than the sum of its proper divisors (14737158436).

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

10203112220 is a wasteful number, since it uses less digits than its factorization.

10203112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10203112220 its reverse (2221130201), we get a palindrome (12424242421).

The spelling of 10203112220 in words is "ten billion, two hundred three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2927 3557 5854 7114 11708 14228 14635 17785 20489 24899 29270 35570 40978 49798 58540 71140 81956 99596 102445 124495 143423 174293 204890 248990 286846 348586 409780 497980 573692 697172 717115 871465 1434230 1742930 2868460 3485860 10411339 20822678 41645356 52056695 72879373 104113390 145758746 208226780 291517492 364396865 510155611 728793730 1020311222 1457587460 2040622444 2550778055 5101556110 10203112220