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132310220201320 = 235718117519149021
BaseRepresentation
bin11110000101010111011111…
…101011001101110101101000
3122100110201210201220012000211
4132011113133223031311220
5114320232312332420240
61145222250454310504
736604045412336410
oct3605273753156550
9570421721805024
10132310220201320
11391814a3a8a887
1212a0a735058434
1358a9a53143855
142495bc5273640
151046a5c0dcbea
hex7855dfacdd68

132310220201320 has 128 divisors (see below), whose sum is σ = 342127807257600. Its totient is φ = 45109999180800.

The previous prime is 132310220201303. The next prime is 132310220201323. The reversal of 132310220201320 is 23102022013231.

It is a junction number, because it is equal to n+sod(n) for n = 132310220201291 and 132310220201300.

It is not an unprimeable number, because it can be changed into a prime (132310220201323) 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, 887788410 + ... + 887937430.

It is an arithmetic number, because the mean of its divisors is an integer number (2672873494200).

Almost surely, 2132310220201320 is an apocalyptic number.

132310220201320 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 132310220201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171063903628800).

132310220201320 is an abundant number, since it is smaller than the sum of its proper divisors (209817587056280).

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

132310220201320 is a wasteful number, since it uses less digits than its factorization.

132310220201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166739 (or 166735 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132310220201320 its reverse (23102022013231), we get a palindrome (155412242214551).

The spelling of 132310220201320 in words is "one hundred thirty-two trillion, three hundred ten billion, two hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1448 1810 2534 3620 5068 6335 7240 10136 12670 17519 25340 35038 50680 70076 87595 122633 140152 149021 175190 245266 298042 350380 490532 596084 613165 700760 745105 981064 1043147 1192168 1226330 1490210 2086294 2452660 2980420 3170939 4172588 4905320 5215735 5960840 6341878 8345176 10431470 12683756 15854695 20862940 22196573 25367512 26972801 31709390 41725880 44393146 53945602 63418780 88786292 107891204 110982865 126837560 134864005 177572584 188809607 215782408 221965730 269728010 377619214 443931460 539456020 755238428 887862920 944048035 1078912040 1510476856 1888096070 2610698899 3776192140 5221397798 7552384280 10442795596 13053494495 18274892293 20885591192 26106988990 36549784586 52213977980 73099569172 91374461465 104427955960 146199138344 182748922930 365497845860 472536500719 730995691720 945073001438 1890146002876 2362682503595 3307755505033 3780292005752 4725365007190 6615511010066 9450730014380 13231022020132 16538777525165 18901460028760 26462044040264 33077555050330 66155110100660 132310220201320