Search a number
-
+
132011203320 = 23325379910751
BaseRepresentation
bin111101011110001111…
…0110001101011111000
3110121202002100221220200
41322330132301223320
54130324332001240
6140351202122200
712352234466613
oct1727436615370
9417662327820
10132011203320
1150a92978a37
1221702350360
13c5aa772379
14656463d17a
1536796da930
hex1ebc7b1af8

132011203320 has 96 divisors (see below), whose sum is σ = 440632033920. Its totient is φ = 34251552000.

The previous prime is 132011203301. The next prime is 132011203321. The reversal of 132011203320 is 23302110231.

132011203320 is a `hidden beast` number, since 1 + 320 + 1 + 1 + 20 + 3 + 320 = 666.

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 = 132011203293 and 132011203302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132011203321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4942056 + ... + 4968695.

It is an arithmetic number, because the mean of its divisors is an integer number (4589917020).

Almost surely, 2132011203320 is an apocalyptic number.

132011203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132011203320 is an abundant number, since it is smaller than the sum of its proper divisors (308620830600).

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

132011203320 is a wasteful number, since it uses less digits than its factorization.

132011203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910805 (or 9910798 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132011203320 its reverse (23302110231), we get a palindrome (155313313551).

The spelling of 132011203320 in words is "one hundred thirty-two billion, eleven million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 9910751 19821502 29732253 39643004 49553755 59464506 79286008 89196759 99107510 118929012 148661265 178393518 198215020 237858024 297322530 356787036 366697787 396430040 445983795 594645060 713574072 733395574 891967590 1100093361 1189290120 1466791148 1783935180 1833488935 2200186722 2933582296 3300280083 3567870360 3666977870 4400373444 5500466805 6600560166 7333955740 8800746888 11000933610 13201120332 14667911480 16501400415 22001867220 26402240664 33002800830 44003734440 66005601660 132011203320