Search a number
-
+
132001203320 = 2357211210589
BaseRepresentation
bin111101011101111100…
…0101000010001111000
3110121201101112220111022
41322323320220101320
54130314302001240
6140350203522012
712352053500240
oct1727370502170
9417641486438
10132001203320
1150a88268878
12216bab29308
13c5a86807cc
146563198b20
1536788b29b5
hex1ebbe28478

132001203320 has 96 divisors (see below), whose sum is σ = 341080178400. Its totient is φ = 45038810880.

The previous prime is 132001203277. The next prime is 132001203331. The reversal of 132001203320 is 23302100231.

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, 12460586 + ... + 12471174.

It is an arithmetic number, because the mean of its divisors is an integer number (3552918525).

Almost surely, 2132001203320 is an apocalyptic number.

132001203320 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 132001203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170540089200).

132001203320 is an abundant number, since it is smaller than the sum of its proper divisors (209078975080).

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

132001203320 is a wasteful number, since it uses less digits than its factorization.

132001203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132001203320 its reverse (23302100231), we get a palindrome (155303303551).

The spelling of 132001203320 in words is "one hundred thirty-two billion, one million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 280 422 844 1055 1477 1688 2110 2954 4220 5908 7385 8440 10589 11816 14770 21178 29540 42356 44521 52945 59080 74123 84712 89042 105890 148246 178084 211780 222605 296492 311647 356168 370615 423560 445210 592984 623294 741230 890420 1246588 1482460 1558235 1780840 2234279 2493176 2964920 3116470 4468558 6232940 8937116 11171395 12465880 15639953 17874232 22342790 31279906 44685580 62559812 78199765 89371160 125119624 156399530 312799060 471432869 625598120 942865738 1885731476 2357164345 3300030083 3771462952 4714328690 6600060166 9428657380 13200120332 16500150415 18857314760 26400240664 33000300830 66000601660 132001203320