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132300123210210 = 235671693312112457
BaseRepresentation
bin11110000101001110000101…
…110110010000000111100010
3122100102202202001121220010010
4132011032011312100013202
5114320101123020211320
61145213500524545350
736603240246333504
oct3605160566200742
9570382661556103
10132300123210210
1139178192549a2a
1212a087976b2256
1358a8b043272b7
1424955082a3d74
15104666a971ae0
hex785385d901e2

132300123210210 has 128 divisors (see below), whose sum is σ = 322578962221824. Its totient is φ = 34719021342720.

The previous prime is 132300123210193. The next prime is 132300123210223. The reversal of 132300123210210 is 12012321003231.

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, 10620538302 + ... + 10620550758.

It is an arithmetic number, because the mean of its divisors is an integer number (2520148142358).

Almost surely, 2132300123210210 is an apocalyptic number.

132300123210210 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 132300123210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161289481110912).

132300123210210 is an abundant number, since it is smaller than the sum of its proper divisors (190278839011614).

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

132300123210210 is a wasteful number, since it uses less digits than its factorization.

132300123210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132300123210210 its reverse (12012321003231), we get a palindrome (144312444213441).

The spelling of 132300123210210 in words is "one hundred thirty-two trillion, three hundred billion, one hundred twenty-three million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1693 2010 3121 3386 5079 6242 8465 9363 10158 12457 15605 16930 18726 24914 25395 31210 37371 46815 50790 62285 74742 93630 113431 124570 186855 209107 226862 340293 373710 418214 567155 627321 680586 834619 1045535 1134310 1254642 1669238 1701465 2091070 2503857 3136605 3402930 4173095 5007714 5283853 6273210 8346190 10567706 12519285 15851559 21089701 25038570 26419265 31703118 38878297 42179402 52838530 63269103 77756594 79257795 105448505 116634891 126538206 158515590 194391485 210897010 233269782 316345515 354018151 388782970 583174455 632691030 708036302 1062054453 1166348910 1413009967 1770090755 2124108906 2604845899 2826019934 3540181510 4239029901 5209691798 5310272265 7065049835 7814537697 8478059802 10620544530 13024229495 14130099670 15629075394 21195149505 26048458990 39072688485 42390299010 65820956821 78145376970 131641913642 197462870463 329104784105 394925740926 658209568210 987314352315 1974628704630 4410004107007 8820008214014 13230012321021 22050020535035 26460024642042 44100041070070 66150061605105 132300123210210