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132220310211210 = 2351314913731657207
BaseRepresentation
bin11110000100000011110000…
…100111110100101010001010
3122100011010201202101110021010
4132010003300213310222022
5114312244143403224320
61145113101051224350
736564413355126354
oct3604036047645212
9570133652343233
10132220310211210
1139147356157531
12129b52224480b6
1358a1424b77b80
1424916d62c60d4
151044548ae0ae0
hex7840f09f4a8a

132220310211210 has 128 divisors (see below), whose sum is σ = 344282973350400. Its totient is φ = 32304539667456.

The previous prime is 132220310211179. The next prime is 132220310211211. The reversal of 132220310211210 is 12112013022231.

It is not an unprimeable number, because it can be changed into a prime (132220310211211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78956427 + ... + 80613633.

It is an arithmetic number, because the mean of its divisors is an integer number (2689710729300).

Almost surely, 2132220310211210 is an apocalyptic number.

132220310211210 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 132220310211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172141486675200).

132220310211210 is an abundant number, since it is smaller than the sum of its proper divisors (212062663139190).

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

132220310211210 is a wasteful number, since it uses less digits than its factorization.

132220310211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658752.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132220310211210 its reverse (12112013022231), we get a palindrome (144332323233441).

The spelling of 132220310211210 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred ten million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 298 390 447 745 894 1373 1490 1937 2235 2746 3874 4119 4470 5811 6865 8238 9685 11622 13730 17849 19370 20595 29055 35698 41190 53547 58110 89245 107094 178490 204577 267735 409154 535470 613731 1022885 1227462 1657207 2045770 2659501 3068655 3314414 4971621 5319002 6137310 7978503 8286035 9943242 13297505 15957006 16572070 21543691 24858105 26595010 39892515 43087382 49716210 64631073 79785030 107718455 129262146 215436910 246923843 323155365 493847686 646310730 740771529 1234619215 1481543058 2275345211 2469238430 3210009959 3703857645 4550690422 6420019918 6826035633 7407715290 9630029877 11376726055 13652071266 16050049795 19260059754 22753452110 29579487743 32100099590 34130178165 48150149385 59158975486 68260356330 88738463229 96300298770 147897438715 177476926458 295794877430 339026436439 443692316145 678052872878 887384632290 1017079309317 1695132182195 2034158618634 3390264364390 4407343673707 5085396546585 8814687347414 10170793093170 13222031021121 22036718368535 26444062042242 44073436737070 66110155105605 132220310211210