Search a number
-
+
132320003100 = 223523711920721
BaseRepresentation
bin111101100111011100…
…0110000010000011100
3110122112121102121120120
41323032320300100130
54131442410044400
6140441552514540
712363004316535
oct1731670602034
9418477377516
10132320003100
115113121286a
122178984ba50
13c62973162c
14659366368c
153696886ca0
hex1ecee3041c

132320003100 has 72 divisors (see below), whose sum is σ = 393193094448. Its totient is φ = 34331673600.

The previous prime is 132320003087. The next prime is 132320003111. The reversal of 132320003100 is 1300023231.

It is a super-2 number, since 2×1323200031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132320003100.

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, 5949261 + ... + 5971460.

Almost surely, 2132320003100 is an apocalyptic number.

132320003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320003100 is an abundant number, since it is smaller than the sum of its proper divisors (260873091348).

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

132320003100 is a wasteful number, since it uses less digits than its factorization.

132320003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920775 (or 11920768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132320003100 its reverse (1300023231), we get a palindrome (133620026331).

The spelling of 132320003100 in words is "one hundred thirty-two billion, three hundred twenty million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 11920721 23841442 35762163 47682884 59603605 71524326 119207210 143048652 178810815 238414420 298018025 357621630 441066677 596036050 715243260 882133354 894054075 1192072100 1323200031 1764266708 1788108150 2205333385 2646400062 3576216300 4410666770 5292800124 6616000155 8821333540 11026666925 13232000310 22053333850 26464000620 33080000775 44106667700 66160001550 132320003100