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21320000325 = 32521329376793
BaseRepresentation
bin10011110110110001…
…010110001101000101
32001000211100020021200
4103312301112031011
5322130410002300
613443321333113
71353221004231
oct236661261505
961024306250
1021320000325
119050647888
124170037199
132019cc6210
1410637315c1
1584baac200
hex4f6c56345

21320000325 has 144 divisors (see below), whose sum is σ = 43698192720. Its totient is φ = 9858723840.

The previous prime is 21320000309. The next prime is 21320000329. The reversal of 21320000325 is 52300002312.

21320000325 is a `hidden beast` number, since 21 + 320 + 0 + 0 + 0 + 325 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 17135333604 + 4184666721 = 130902^2 + 64689^2 .

It is not a de Polignac number, because 21320000325 - 24 = 21320000309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21320000298 and 21320000307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320000329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3135129 + ... + 3141921.

Almost surely, 221320000325 is an apocalyptic number.

21320000325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21320000325 is an abundant number, since it is smaller than the sum of its proper divisors (22378192395).

21320000325 is a wasteful number, since it uses less digits than its factorization.

21320000325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 21320000325 its reverse (52300002312), we get a palindrome (73620002637).

The spelling of 21320000325 in words is "twenty-one billion, three hundred twenty million, three hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 25 29 37 39 45 65 75 87 111 117 145 185 195 225 261 325 333 377 435 481 555 585 725 925 975 1073 1131 1305 1443 1665 1885 2175 2405 2775 2925 3219 3393 4329 5365 5655 6525 6793 7215 8325 9425 9657 12025 13949 16095 16965 20379 21645 26825 28275 33965 36075 41847 48285 61137 69745 80475 84825 88309 101895 108225 125541 169825 196997 209235 241425 251341 264927 305685 348725 441545 509475 590991 627705 754023 794781 984985 1046175 1256705 1324635 1528425 1772973 2207725 2262069 2560961 2954955 3138525 3267433 3770115 3973905 4924925 6283525 6623175 7288889 7682883 8864865 9802299 11310345 12804805 14774775 16337165 18850575 19869525 21866667 23048649 29406897 36444445 38414415 44324325 49011495 56551725 64024025 65600001 81685825 94755557 109333335 115243245 147034485 182222225 192072075 245057475 284266671 328000005 473777785 546666675 576216225 735172425 852800013 1421333355 1640000025 2368888925 4264000065 7106666775 21320000325