Search a number
-
+
2132103220 = 22513231093271
BaseRepresentation
bin111111100010101…
…0101000000110100
312111120221001202221
41333011111000310
513331304300340
6551322212124
7103556402242
oct17705250064
95446831687
102132103220
119a4575785
124b6054044
1327c94b250
14163245792
15c72a944a
hex7f155034

2132103220 has 96 divisors (see below), whose sum is σ = 5079191040. Its totient is φ = 745873920.

The previous prime is 2132103203. The next prime is 2132103227. The reversal of 2132103220 is 223012312.

It is a junction number, because it is equal to n+sod(n) for n = 2132103194 and 2132103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132103227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650185 + ... + 653455.

It is an arithmetic number, because the mean of its divisors is an integer number (52908240).

Almost surely, 22132103220 is an apocalyptic number.

2132103220 is a gapful number since it is divisible by the number (20) 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 2132103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539595520).

2132103220 is an abundant number, since it is smaller than the sum of its proper divisors (2947087820).

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

2132103220 is a wasteful number, since it uses less digits than its factorization.

2132103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2132103220 is about 46174.7032475575. The cubic root of 2132103220 is about 1287.0717024506.

Adding to 2132103220 its reverse (223012312), we get a palindrome (2355115532).

The spelling of 2132103220 in words is "two billion, one hundred thirty-two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 109 115 130 218 230 260 299 436 460 545 598 1090 1196 1417 1495 2180 2507 2834 2990 3271 5014 5668 5980 6542 7085 10028 12535 13084 14170 16355 25070 28340 32591 32710 42523 50140 65182 65420 75233 85046 130364 150466 162955 170092 212615 300932 325910 356539 376165 425230 651820 713078 752330 850460 978029 1426156 1504660 1782695 1956058 3565390 3912116 4635007 4890145 7130780 8200397 9270014 9780290 16400794 18540028 19560580 23175035 32801588 41001985 46350070 82003970 92700140 106605161 164007940 213210322 426420644 533025805 1066051610 2132103220