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132221332224410 = 251113227725676887
BaseRepresentation
bin11110000100000100101101…
…100010011111100110011010
3122100011020100222111002210212
4132010010231202133212122
5114312303242022140120
61145113350320411122
736564450605112602
oct3604045542374632
9570136328432725
10132221332224410
1139147830046140
12129b5468776aa2
1358a1558821900
142491791d23c02
1510445a86be6c5
hex78412d89f99a

132221332224410 has 96 divisors (see below), whose sum is σ = 282157776024192. Its totient is φ = 44221760144640.

The previous prime is 132221332224343. The next prime is 132221332224467. The reversal of 132221332224410 is 14422233122231.

It is a happy number.

132221332224410 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-3 number, since 3×1322213322244103 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7689014 + ... + 17987873.

It is an arithmetic number, because the mean of its divisors is an integer number (2939143500252).

Almost surely, 2132221332224410 is an apocalyptic number.

132221332224410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132221332224410 is an abundant number, since it is smaller than the sum of its proper divisors (149936443799782).

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

132221332224410 is a wasteful number, since it uses less digits than its factorization.

132221332224410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677208 (or 25677195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132221332224410 its reverse (14422233122231), we get a palindrome (146643565346641).

The spelling of 132221332224410 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 169 277 286 338 554 715 845 1385 1430 1690 1859 2770 3047 3601 3718 6094 7202 9295 15235 18005 18590 30470 36010 39611 46813 79222 93626 198055 234065 396110 468130 514943 1029886 2574715 5149430 25676887 51353774 128384435 256768870 282445757 333799531 564891514 667599062 1412228785 1668997655 2824457570 3337995310 3671794841 4339393903 7112497699 7343589682 8678787806 14224995398 18358974205 21696969515 35562488495 36717948410 43393939030 47733332933 71124976990 78237474689 92462470087 95466665866 156474949378 184924940174 238666664665 391187373445 462312350435 477333329330 782374746890 924624700870 1017087170957 1202012111131 2034174341914 2404024222262 5085435854785 6010060555655 10170871709570 12020121111310 13222133222441 26444266444882 66110666112205 132221332224410