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132201421344330 = 235131759200396211
BaseRepresentation
bin11110000011110010001010…
…110000100000111001001010
3122100002022222100122121002220
4132003302022300200321022
5114311442002331004310
61145100254453234510
736563144314324542
oct3603621260407112
9570068870577086
10132201421344330
113913a342957248
12129b1630632a36
13589c70474b470
1424908237da322
151043ce06a9670
hex783c8ac20e4a

132201421344330 has 128 divisors (see below), whose sum is σ = 342058321059840. Its totient is φ = 32506812898560.

The previous prime is 132201421344241. The next prime is 132201421344361. The reversal of 132201421344330 is 33443124102231.

It is a super-2 number, since 2×1322014213443302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132201421344291 and 132201421344300.

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, 1374029925 + ... + 1374126135.

It is an arithmetic number, because the mean of its divisors is an integer number (2672330633280).

Almost surely, 2132201421344330 is an apocalyptic number.

132201421344330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132201421344330 is an abundant number, since it is smaller than the sum of its proper divisors (209856899715510).

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

132201421344330 is a wasteful number, since it uses less digits than its factorization.

132201421344330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99996.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 132201421344330 its reverse (33443124102231), we get a palindrome (165644545446561).

The spelling of 132201421344330 in words is "one hundred thirty-two trillion, two hundred one billion, four hundred twenty-one million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1759 2003 3518 4006 5277 6009 8795 10015 10554 12018 17590 20030 22867 26039 26385 30045 45734 52078 52770 60090 68601 78117 96211 114335 130195 137202 156234 192422 228670 260390 288633 343005 390585 481055 577266 686010 781170 962110 1250743 1443165 2501486 2886330 3523277 3752229 6253715 7046554 7504458 10569831 12507430 17616385 18761145 21139662 35232770 37522290 45802601 52849155 91605202 105698310 137407803 169235149 192710633 229013005 274815606 338470298 385421266 458026010 507705447 578131899 687039015 846175745 963553165 1015410894 1156263798 1374078030 1692351490 1927106330 2200056937 2505238229 2538527235 2890659495 4400113874 5010476458 5077054470 5781318990 6600170811 7515714687 11000284685 12526191145 13200341622 15031429374 22000569370 25052382290 33000854055 37578573435 66001708110 75157146870 338978003447 677956006894 1016934010341 1694890017235 2033868020682 3389780034470 4406714044811 5084670051705 8813428089622 10169340103410 13220142134433 22033570224055 26440284268866 44067140448110 66100710672165 132201421344330