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132323103330 = 235113740926497
BaseRepresentation
bin111101100111100010…
…0100101001001100010
3110122112211021010021220
41323033010211021202
54131444203301310
6140442143155510
712363042551235
oct1731704451142
9418484233256
10132323103330
1151132a40040
122178a8a5b96
13c62a2787a2
146593c2d41c
153696c9a670
hex1ecf125262

132323103330 has 128 divisors (see below), whose sum is σ = 356692757760. Its totient is φ = 31133859840.

The previous prime is 132323103329. The next prime is 132323103373. The reversal of 132323103330 is 33301323231.

It is a self number, because there is not a number n which added to its sum of digits gives 132323103330.

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, 4980642 + ... + 5007138.

It is an arithmetic number, because the mean of its divisors is an integer number (2786662170).

Almost surely, 2132323103330 is an apocalyptic number.

132323103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178346378880).

132323103330 is an abundant number, since it is smaller than the sum of its proper divisors (224369654430).

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

132323103330 is a wasteful number, since it uses less digits than its factorization.

132323103330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26964.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132323103330 its reverse (33301323231), we get a palindrome (165624426561).

The spelling of 132323103330 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 409 555 814 818 1110 1221 1227 2035 2045 2442 2454 4070 4090 4499 6105 6135 8998 12210 12270 13497 15133 22495 26497 26994 30266 44990 45399 52994 67485 75665 79491 90798 132485 134970 151330 158982 166463 226995 264970 291467 332926 397455 453990 499389 582934 794910 832315 874401 980389 998778 1457335 1664630 1748802 1960778 2496945 2914670 2941167 4372005 4901945 4993890 5882334 8744010 9803890 10784279 10837273 14705835 21568558 21674546 29411670 32352837 32511819 53921395 54186365 64705674 65023638 107842790 108372730 119210003 161764185 162559095 238420006 323528370 325118190 357630009 400979101 596050015 715260018 801958202 1192100030 1202937303 1788150045 2004895505 2405874606 3576300090 4009791010 4410770111 6014686515 8821540222 12029373030 13232310333 22053850555 26464620666 44107701110 66161551665 132323103330