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13102321000 = 2353103127207
BaseRepresentation
bin11000011001111010…
…11000110101101000
31020211010022212111011
430030331120311220
5203313143233000
610004044113304
7642454614406
oct141475306550
936733285434
1013102321000
115613a1176a
122657b35834
13130a648a82
148c41a2476
1551a4142ba
hex30cf58d68

13102321000 has 64 divisors (see below), whose sum is σ = 30957338880. Its totient is φ = 5190004800.

The previous prime is 13102320953. The next prime is 13102321003. The reversal of 13102321000 is 12320131.

13102321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13102321003) 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 15 ways as a sum of consecutive naturals, for example, 39397 + ... + 166603.

It is an arithmetic number, because the mean of its divisors is an integer number (483708420).

Almost surely, 213102321000 is an apocalyptic number.

13102321000 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 13102321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478669440).

13102321000 is an abundant number, since it is smaller than the sum of its proper divisors (17855017880).

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

13102321000 is a wasteful number, since it uses less digits than its factorization.

13102321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127331 (or 127317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13102321000 its reverse (12320131), we get a palindrome (13114641131).

The spelling of 13102321000 in words is "thirteen billion, one hundred two million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20600 25750 51500 103000 127207 254414 508828 636035 1017656 1272070 2544140 3180175 5088280 6360350 12720700 13102321 15900875 25441400 26204642 31801750 52409284 63603500 65511605 104818568 127207000 131023210 262046420 327558025 524092840 655116050 1310232100 1637790125 2620464200 3275580250 6551160500 13102321000