Search a number
-
+
2132103330 = 233573473251
BaseRepresentation
bin111111100010101…
…0101000010100010
312111120221001221000
41333011111002202
513331304301310
6551322212430
7103556402460
oct17705250242
95446831830
102132103330
119a4575875
124b6054116
1327c94b306
14163245830
15c72a94c0
hex7f1550a2

2132103330 has 128 divisors (see below), whose sum is σ = 6518568960. Its totient is φ = 485784000.

The previous prime is 2132103307. The next prime is 2132103341. The reversal of 2132103330 is 333012312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654205 + ... + 657455.

It is an arithmetic number, because the mean of its divisors is an integer number (50926320).

Almost surely, 22132103330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259284480).

2132103330 is an abundant number, since it is smaller than the sum of its proper divisors (4386465630).

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

2132103330 is a wasteful number, since it uses less digits than its factorization.

2132103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2132103330 is about 46174.7044386859. The cubic root of 2132103330 is about 1287.0717245849.

Adding to 2132103330 its reverse (333012312), we get a palindrome (2465115642).

The spelling of 2132103330 in words is "two billion, one hundred thirty-two million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 347 378 630 694 945 1041 1735 1890 2082 2429 3123 3251 3470 4858 5205 6246 6502 7287 9369 9753 10410 12145 14574 15615 16255 18738 19506 21861 22757 24290 29259 31230 32510 36435 43722 45514 46845 48765 58518 65583 68271 72870 87777 93690 97530 109305 113785 131166 136542 146295 175554 204813 218610 227570 292590 327915 341355 409626 438885 614439 655830 682710 877770 1024065 1128097 1228878 2048130 2256194 3072195 3384291 5640485 6144390 6768582 7896679 10152873 11280970 15793358 16921455 20305746 23690037 30458619 33842910 39483395 47380074 50764365 60917238 71070111 78966790 101528730 118450185 142140222 152293095 213210333 236900370 304586190 355350555 426420666 710701110 1066051665 2132103330