Search a number
-
+
133032312320 = 295439118373
BaseRepresentation
bin111101111100101010…
…1111111111000000000
3110201101020202200010112
41323321111333320000
54134422232443240
6141040400050452
712416443666025
oct1737125777000
9421336680115
10133032312320
11514672aa276
1221948303a28
13c71119068b
1466200c354c
1536d918b665
hex1ef957fe00

133032312320 has 80 divisors (see below), whose sum is σ = 319695029280. Its totient is φ = 53091262464.

The previous prime is 133032312313. The next prime is 133032312353. The reversal of 133032312320 is 23213230331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1330323123202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064654 + ... + 1183026.

It is an arithmetic number, because the mean of its divisors is an integer number (3996187866).

Almost surely, 2133032312320 is an apocalyptic number.

133032312320 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 133032312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159847514640).

133032312320 is an abundant number, since it is smaller than the sum of its proper divisors (186662716960).

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

133032312320 is an equidigital number, since it uses as much as digits as its factorization.

133032312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118835 (or 118819 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133032312320 its reverse (23213230331), we get a palindrome (156245542651).

The spelling of 133032312320 in words is "one hundred thirty-three billion, thirty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 439 512 640 878 1280 1756 2195 2560 3512 4390 7024 8780 14048 17560 28096 35120 56192 70240 112384 118373 140480 224768 236746 280960 473492 561920 591865 946984 1123840 1183730 1893968 2367460 3787936 4734920 7575872 9469840 15151744 18939680 30303488 37879360 51965747 60606976 75758720 103931494 151517440 207862988 259828735 303034880 415725976 519657470 831451952 1039314940 1662903904 2078629880 3325807808 4157259760 6651615616 8314519520 13303231232 16629039040 26606462464 33258078080 66516156160 133032312320