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132033222323310 = 235711139411203159
BaseRepresentation
bin11110000001010101100001…
…010100001010110001101110
3122022111020211021112000200210
4132001111201110022301232
5114301213014403321220
61144451120332403250
736545041222252140
oct3601254124126156
9568436737460623
10132033222323310
1139084a7a9a2260
1212984b0b016526
1358898aa967c19
142486629012c90
15103e74900c6e0
hex78156150ac6e

132033222323310 has 128 divisors (see below), whose sum is σ = 397913073868800. Its totient is φ = 27238097185920.

The previous prime is 132033222323297. The next prime is 132033222323351. The reversal of 132033222323310 is 13323222330231.

132033222323310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1320332223233102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 205280490 + ... + 205922669.

It is an arithmetic number, because the mean of its divisors is an integer number (3108695889600).

Almost surely, 2132033222323310 is an apocalyptic number.

132033222323310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132033222323310 is an abundant number, since it is smaller than the sum of its proper divisors (265879851545490).

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

132033222323310 is a wasteful number, since it uses less digits than its factorization.

132033222323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411203326.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 132033222323310 its reverse (13323222330231), we get a palindrome (145356444653541).

The spelling of 132033222323310 in words is "one hundred thirty-two trillion, thirty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 139 154 165 210 231 278 330 385 417 462 695 770 834 973 1155 1390 1529 1946 2085 2310 2919 3058 4170 4587 4865 5838 7645 9174 9730 10703 14595 15290 21406 22935 29190 32109 45870 53515 64218 107030 160545 321090 411203159 822406318 1233609477 2056015795 2467218954 2878422113 4112031590 4523234749 5756844226 6168047385 8635266339 9046469498 12336094770 13569704247 14392110565 17270532678 22616173745 27139408494 28784221130 31662643243 43176331695 45232347490 57157239101 63325286486 67848521235 86352663390 94987929729 114314478202 135697042470 158313216215 171471717303 189975859458 285786195505 316626432430 342943434606 400100673707 474939648645 571572391010 628729630111 800201347414 857358586515 949879297290 1200302021121 1257459260222 1714717173030 1886188890333 2000503368535 2400604042242 3143648150555 3772377780666 4001006737070 4401107410777 6001510105605 6287296301110 8802214821554 9430944451665 12003020211210 13203322232331 18861888903330 22005537053885 26406644464662 44011074107770 66016611161655 132033222323310