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132132033201020 = 22523237423179777
BaseRepresentation
bin11110000010110001100010…
…111001110000001101111100
3122022211200212120121200211012
4132002301202321300031330
5114304322400444413040
61145004341300414352
736555136646665616
oct3602614271601574
9568750776550735
10132132033201020
1139112976081166
12129a00a66a73b8
135895cc6cc13b8
14248b320175db6
1510420cdb59865
hex782c62e7037c

132132033201020 has 144 divisors (see below), whose sum is σ = 297979798323648. Its totient is φ = 49176275005440.

The previous prime is 132132033200987. The next prime is 132132033201061. The reversal of 132132033201020 is 20102330231231.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 1656227372 + ... + 1656307148.

Almost surely, 2132132033201020 is an apocalyptic number.

132132033201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132033201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148989899161824).

132132033201020 is an abundant number, since it is smaller than the sum of its proper divisors (165847765122628).

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

132132033201020 is a wasteful number, since it uses less digits than its factorization.

132132033201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84100 (or 84075 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132132033201020 its reverse (20102330231231), we get a palindrome (152234363432251).

The spelling of 132132033201020 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, thirty-three million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 529 740 851 1058 1702 2116 2645 3404 4231 4255 5290 8462 8510 10580 16924 17020 19573 21155 39146 42310 78292 79777 84620 97313 97865 156547 159554 194626 195730 313094 319108 389252 391460 398885 486565 626188 782735 797770 973130 1565470 1595540 1834871 1946260 2238199 2951749 3130940 3600581 3669742 4476398 5903498 7201162 7339484 8952796 9174355 11190995 11806996 14402324 14758745 18002905 18348710 22381990 29517490 36005810 36697420 42202033 44763980 59034980 67890227 72011620 82813363 84404066 135780454 165626726 168808132 211010165 271560908 331253452 337536487 339451135 414066815 422020330 675072974 678902270 828133630 844040660 1350145948 1357804540 1561475221 1656267260 1687682435 3122950442 3375364870 6245900884 6750729740 7763339201 7807376105 12488850019 15526678402 15614752210 24977700038 31053356804 31229504420 38816696005 49955400076 62444250095 77633392010 124888500190 155266784020 178556801623 249777000380 287243550437 357113603246 574487100874 714227206492 892784008115 1148974201748 1436217752185 1785568016230 2872435504370 3571136032460 5744871008740 6606601660051 13213203320102 26426406640204 33033008300255 66066016600510 132132033201020