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132201212203350 = 232522321997580673
BaseRepresentation
bin11110000011110001111110…
…010010101101000101010110
3122100002022102210010010121200
4132003301332102231011112
5114311441040311001400
61145100222022453330
736563136164546223
oct3603617622550526
9570068383103550
10132201212203350
113913a2458a0564
12129b1592594246
13589c6a03135c4
142490803b1894a
151043ccc146b00
hex783c7e4ad156

132201212203350 has 144 divisors (see below), whose sum is σ = 370640711574432. Its totient is φ = 33719297863680.

The previous prime is 132201212203349. The next prime is 132201212203363. The reversal of 132201212203350 is 53302212102231.

132201212203350 is a `hidden beast` number, since 1 + 3 + 2 + 201 + 2 + 122 + 0 + 335 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227378614 + ... + 227959286.

It is an arithmetic number, because the mean of its divisors is an integer number (2573893830378).

Almost surely, 2132201212203350 is an apocalyptic number.

132201212203350 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 132201212203350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185320355787216).

132201212203350 is an abundant number, since it is smaller than the sum of its proper divisors (238439499371082).

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

132201212203350 is a wasteful number, since it uses less digits than its factorization.

132201212203350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602711 (or 602703 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132201212203350 its reverse (53302212102231), we get a palindrome (185503424305581).

The spelling of 132201212203350 in words is "one hundred thirty-two trillion, two hundred one billion, two hundred twelve million, two hundred three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 21997 43994 65991 109985 131982 197973 219970 329955 395946 505931 549925 580673 659910 989865 1011862 1099850 1161346 1517793 1649775 1742019 1979730 2529655 2903365 3035586 3299550 3484038 4553379 4949325 5059310 5226057 5806730 7588965 8710095 9106758 9898650 10452114 12648275 13355479 14516825 15177930 17420190 22766895 25296550 26130285 26710958 29033650 37944825 40066437 43550475 45533790 52260570 66777395 75889650 80132874 87100950 113834475 120199311 130651425 133554790 200332185 227668950 240398622 261302850 333886975 400664370 600996555 667773950 1001660925 1201993110 2003321850 3004982775 6009965550 12773063981 25546127962 38319191943 63865319905 76638383886 114957575829 127730639810 191595959715 229915151658 293780471563 319326599525 383191919430 574787879145 587560943126 638653199050 881341414689 957979798575 1149575758290 1468902357815 1762682829378 1915959597150 2644024244067 2873939395725 2937804715630 4406707073445 5288048488134 5747878791450 7344511789075 8813414146890 13220121220335 14689023578150 22033535367225 26440242440670 44067070734450 66100606101675 132201212203350