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132203121330 = 23575910799721
BaseRepresentation
bin111101100011111101…
…0111000101010110010
3110122020110111101221010
41323013322320222302
54131222444340310
6140422215411350
712360054663420
oct1730772705262
9418213441833
10132203121330
1151081240865
1221756683b56
13c60b459b17
146581d1a110
15368b49a320
hex1ec7eb8ab2

132203121330 has 128 divisors (see below), whose sum is σ = 372210370560. Its totient is φ = 29427770880.

The previous prime is 132203121317. The next prime is 132203121341. The reversal of 132203121330 is 33121302231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132203121297 and 132203121306.

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, 1275870 + ... + 1375590.

It is an arithmetic number, because the mean of its divisors is an integer number (2907893520).

Almost surely, 2132203121330 is an apocalyptic number.

132203121330 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 132203121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186105185280).

132203121330 is an abundant number, since it is smaller than the sum of its proper divisors (240007249230).

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

132203121330 is a wasteful number, since it uses less digits than its factorization.

132203121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99904.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132203121330 its reverse (33121302231), we get a palindrome (165324423561).

The spelling of 132203121330 in words is "one hundred thirty-two billion, two hundred three million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 107 118 177 210 214 295 321 354 413 535 590 642 749 826 885 1070 1239 1498 1605 1770 2065 2247 2478 3210 3745 4130 4494 6195 6313 7490 11235 12390 12626 18939 22470 31565 37878 44191 63130 88382 94695 99721 132573 189390 199442 220955 265146 299163 441910 498605 598326 662865 698047 997210 1325730 1396094 1495815 2094141 2991630 3490235 4188282 5883539 6980470 10470705 10670147 11767078 17650617 20941410 21340294 29417695 32010441 35301234 41184773 53350735 58835390 64020882 74691029 82369546 88253085 106701470 123554319 149382058 160052205 176506170 205923865 224073087 247108638 320104410 373455145 411847730 448146174 617771595 629538673 746910290 1120365435 1235543190 1259077346 1888616019 2240730870 3147693365 3777232038 4406770711 6295386730 8813541422 9443080095 13220312133 18886160190 22033853555 26440624266 44067707110 66101560665 132203121330