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103132220 = 22541173727
BaseRepresentation
bin1100010010110…
…10110000111100
321012001122210212
412021122300330
5202400212340
614122251552
72361416012
oct611326074
9235048725
10103132220
1153240844
122a656bb8
131849c3a9
14d9a88b2
1590c2a65
hex625ac3c

103132220 has 48 divisors (see below), whose sum is σ = 223449408. Its totient is φ = 39959040.

The previous prime is 103132199. The next prime is 103132259. The reversal of 103132220 is 22231301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103132195 and 103132204.

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 15 ways as a sum of consecutive naturals, for example, 141497 + ... + 142223.

It is an arithmetic number, because the mean of its divisors is an integer number (4655196).

Almost surely, 2103132220 is an apocalyptic number.

103132220 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 103132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724704).

103132220 is an abundant number, since it is smaller than the sum of its proper divisors (120317188).

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

103132220 is a wasteful number, since it uses less digits than its factorization.

103132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

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

The square root of 103132220 is about 10155.4034877990. The cubic root of 103132220 is about 468.9553075162.

Adding to 103132220 its reverse (22231301), we get a palindrome (125363521).

The spelling of 103132220 in words is "one hundred three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 173 205 346 410 692 727 820 865 1454 1730 2908 3460 3635 7093 7270 14186 14540 28372 29807 35465 59614 70930 119228 125771 141860 149035 251542 298070 503084 596140 628855 1257710 2515420 5156611 10313222 20626444 25783055 51566110 103132220