Search a number
-
+
20130332221320 = 2335279759975963
BaseRepresentation
bin1001001001110111101010…
…10011010001111110001000
32122021102220110112100020220
410210323311103101332020
510114303410022040240
6110451425201550040
74145240253435336
oct444736523217610
978242813470226
1020130332221320
116461253818a42
122311487645320
13b30388c58419
144d84558c6b56
1524d981e705d0
hex124ef54d1f88

20130332221320 has 64 divisors (see below), whose sum is σ = 60412589017920. Its totient is φ = 5366169272064.

The previous prime is 20130332221303. The next prime is 20130332221327. The reversal of 20130332221320 is 2312223303102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20130332221327) 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 15 ways as a sum of consecutive naturals, for example, 29652342 + ... + 30323621.

It is an arithmetic number, because the mean of its divisors is an integer number (943946703405).

Almost surely, 220130332221320 is an apocalyptic number.

20130332221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130332221320 is an abundant number, since it is smaller than the sum of its proper divisors (40282256796600).

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

20130332221320 is a wasteful number, since it uses less digits than its factorization.

20130332221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59978774 (or 59978770 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20130332221320 its reverse (2312223303102), we get a palindrome (22442555524422).

The spelling of 20130332221320 in words is "twenty trillion, one hundred thirty billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2797 5594 8391 11188 13985 16782 22376 27970 33564 41955 55940 67128 83910 111880 167820 335640 59975963 119951926 179927889 239903852 299879815 359855778 479807704 599759630 719711556 899639445 1199519260 1439423112 1799278890 2399038520 3598557780 7197115560 167752768511 335505537022 503258305533 671011074044 838763842555 1006516611066 1342022148088 1677527685110 2013033222132 2516291527665 3355055370220 4026066444264 5032583055330 6710110740440 10065166110660 20130332221320