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20531420325 = 3452135913219
BaseRepresentation
bin10011000111110001…
…001001110010100101
31221222212111012220000
4103013301021302211
5314022020422300
613233151331513
71324534123203
oct230761116245
957885435800
1020531420325
1187864a6a79
123b8bb20b99
131c22811330
14dcaada073
1580273dc00
hex4c7c49ca5

20531420325 has 120 divisors (see below), whose sum is σ = 41654104800. Its totient is φ = 9935706240.

The previous prime is 20531420323. The next prime is 20531420347. The reversal of 20531420325 is 52302413502.

It is a happy number.

20531420325 is a `hidden beast` number, since 2 + 0 + 5 + 314 + 20 + 325 = 666.

It is not a de Polignac number, because 20531420325 - 21 = 20531420323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20531420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1546566 + ... + 1559784.

It is an arithmetic number, because the mean of its divisors is an integer number (347117540).

Almost surely, 220531420325 is an apocalyptic number.

20531420325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20531420325 is an abundant number, since it is smaller than the sum of its proper divisors (21122684475).

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

20531420325 is a wasteful number, since it uses less digits than its factorization.

20531420325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13313 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20531420325 its reverse (52302413502), we get a palindrome (72833833827).

The spelling of 20531420325 in words is "twenty billion, five hundred thirty-one million, four hundred twenty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 59 65 75 81 117 135 177 195 225 295 325 351 405 531 585 675 767 885 975 1053 1475 1593 1755 2025 2301 2655 2925 3835 4425 4779 5265 6903 7965 8775 11505 13219 13275 19175 20709 23895 26325 34515 39657 39825 57525 62127 66095 103545 118971 119475 171847 172575 198285 310635 330475 356913 515541 517725 594855 779921 859235 991425 1070739 1546623 1553175 1784565 2339763 2577705 2974275 3899605 4296175 4639869 5353695 7019289 7733115 8922825 10138973 11698815 12888525 13919607 19498025 21057867 23199345 26768475 30416919 35096445 38665575 50694865 58494075 63173601 69598035 91250757 105289335 115996725 152084595 175482225 253474325 273752271 315868005 347990175 456253785 526446675 760422975 821256813 1368761355 1579340025 2281268925 4106284065 6843806775 20531420325