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132103010220 = 223523260936691
BaseRepresentation
bin111101100000111110…
…0111111011110101100
3110121222111010020022020
41323001330333132230
54131021332311340
6140404241550140
712354431026326
oct1730174773654
9417874106266
10132103010220
115102a783905
1221729045350
13c5c37a788c
1465728da616
1536827c29d0
hex1ec1f3f7ac

132103010220 has 96 divisors (see below), whose sum is σ = 386128995840. Its totient is φ = 33682007040.

The previous prime is 132103010203. The next prime is 132103010233. The reversal of 132103010220 is 22010301231.

132103010220 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132103010220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582075 + ... + 3618765.

It is an arithmetic number, because the mean of its divisors is an integer number (4022177040).

Almost surely, 2132103010220 is an apocalyptic number.

132103010220 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 132103010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193064497920).

132103010220 is an abundant number, since it is smaller than the sum of its proper divisors (254025985620).

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

132103010220 is a wasteful number, since it uses less digits than its factorization.

132103010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39335 (or 39333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132103010220 its reverse (22010301231), we get a palindrome (154113311451).

The spelling of 132103010220 in words is "one hundred thirty-two billion, one hundred three million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2609 5218 7827 10436 13045 15654 26090 31308 36691 39135 52180 60007 73382 78270 110073 120014 146764 156540 180021 183455 220146 240028 300035 360042 366910 440292 550365 600070 720084 733820 843893 900105 1100730 1200140 1687786 1800210 2201460 2531679 3375572 3600420 4219465 5063358 8438930 10126716 12658395 16877860 25316790 50633580 95726819 191453638 287180457 382907276 478634095 574360914 957268190 1148721828 1435902285 1914536380 2201716837 2871804570 4403433674 5743609140 6605150511 8806867348 11008584185 13210301022 22017168370 26420602044 33025752555 44034336740 66051505110 132103010220