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132302200032 = 25323713199413
BaseRepresentation
bin111101100110111010…
…0110101110011100000
3110122111100221010100200
41323031310311303200
54131423330400112
6140440115145200
712362400100542
oct1731564656340
9418440833320
10132302200032
1151122163092
12217838a5200
13c625b3a182
14659114b692
15369501bcdc
hex1ecdd35ce0

132302200032 has 144 divisors (see below), whose sum is σ = 386736910560. Its totient is φ = 42871735296.

The previous prime is 132302199989. The next prime is 132302200061. The reversal of 132302200032 is 230002203231.

It is a happy number.

132302200032 is a `hidden beast` number, since 132 + 302 + 200 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132302199978 and 132302200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14050558 + ... + 14059970.

It is an arithmetic number, because the mean of its divisors is an integer number (2685672990).

Almost surely, 2132302200032 is an apocalyptic number.

132302200032 is a gapful number since it is divisible by the number (12) 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 132302200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193368455280).

132302200032 is an abundant number, since it is smaller than the sum of its proper divisors (254434710528).

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

132302200032 is a wasteful number, since it uses less digits than its factorization.

132302200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132302200032 its reverse (230002203231), we get a palindrome (362304403263).

The spelling of 132302200032 in words is "one hundred thirty-two billion, three hundred two million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1319 1332 1776 2638 2664 3552 3957 5276 5328 7914 9413 10552 10656 11871 15828 18826 21104 23742 28239 31656 37652 42208 47484 48803 56478 63312 75304 84717 94968 97606 112956 126624 146409 150608 169434 189936 195212 225912 292818 301216 338868 348281 379872 390424 439227 451824 585636 677736 696562 780848 878454 903648 1044843 1171272 1355472 1393124 1561696 1756908 2089686 2342544 2710944 2786248 3134529 3513816 4179372 4685088 5572496 6269058 7027632 8358744 11144992 12415747 12538116 14055264 16717488 24831494 25076232 33434976 37247241 49662988 50152464 74494482 99325976 100304928 111741723 148988964 198651952 223483446 297977928 397303904 446966892 459382639 595955856 893933784 918765278 1191911712 1378147917 1787867568 1837530556 2756295834 3575735136 3675061112 4134443751 5512591668 7350122224 8268887502 11025183336 14700244448 16537775004 22050366672 33075550008 44100733344 66151100016 132302200032