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132302003442 = 23759389137251
BaseRepresentation
bin111101100110111010…
…0000101110011110010
3110122111100120010200120
41323031310011303302
54131423303102232
6140440111031110
712362365321440
oct1731564056362
9418440503616
10132302003442
1151122039414
122178380b496
13c625a9b84b
1465910d9b90
153694ecd92c
hex1ecdd05cf2

132302003442 has 64 divisors (see below), whose sum is σ = 308322892800. Its totient is φ = 37064088000.

The previous prime is 132302003417. The next prime is 132302003459. The reversal of 132302003442 is 244300203231.

It is a super-2 number, since 2×1323020034422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895317 + ... + 1032567.

It is an arithmetic number, because the mean of its divisors is an integer number (4817545200).

Almost surely, 2132302003442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132302003442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154161446400).

132302003442 is an abundant number, since it is smaller than the sum of its proper divisors (176020889358).

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

132302003442 is a wasteful number, since it uses less digits than its factorization.

132302003442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137711.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132302003442 its reverse (244300203231), we get a palindrome (376602206673).

The spelling of 132302003442 in words is "one hundred thirty-two billion, three hundred two million, three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 389 413 778 826 1167 1239 2334 2478 2723 5446 8169 16338 22951 45902 68853 137251 137706 160657 274502 321314 411753 481971 823506 960757 963942 1921514 2882271 5764542 8097809 16195618 24293427 48586854 53390639 56684663 106781278 113369326 160171917 170053989 320343834 340107978 373734473 747468946 1121203419 2242406838 3150047701 6300095402 9450143103 18900286206 22050333907 44100667814 66151001721 132302003442