Search a number
-
+
132233020320 = 25351716205027
BaseRepresentation
bin111101100100110110…
…0111100001110100000
3110122022112202102122010
41323021230330032200
54131303123122240
6140425204312520
712360600061452
oct1731154741640
9418275672563
10132233020320
1151097102375
12217646a2740
13c6146c7b2b
146585ca02d2
15368de04280
hex1ec9b3c3a0

132233020320 has 96 divisors (see below), whose sum is σ = 441036042048. Its totient is φ = 33187893248.

The previous prime is 132233020307. The next prime is 132233020343. The reversal of 132233020320 is 23020332231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1322330203203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8094354 + ... + 8110673.

It is an arithmetic number, because the mean of its divisors is an integer number (4594125438).

Almost surely, 2132233020320 is an apocalyptic number.

132233020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132233020320 is an abundant number, since it is smaller than the sum of its proper divisors (308803021728).

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

132233020320 is a wasteful number, since it uses less digits than its factorization.

132233020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16205062 (or 16205054 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 132233020320 its reverse (23020332231), we get a palindrome (155253352551).

The spelling of 132233020320 in words is "one hundred thirty-two billion, two hundred thirty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 16205027 32410054 48615081 64820108 81025135 97230162 129640216 162050270 194460324 243075405 259280432 275485459 324100540 388920648 486150810 518560864 550970918 648201080 777841296 826456377 972301620 1101941836 1296402160 1377427295 1555682592 1652912754 1944603240 2203883672 2592804320 2754854590 3305825508 3889206480 4132281885 4407767344 5509709180 6611651016 7778412960 8264563770 8815534688 11019418360 13223302032 16529127540 22038836720 26446604064 33058255080 44077673440 66116510160 132233020320