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10332000320 = 265672232161
BaseRepresentation
bin10011001111101010…
…11101000001000000
3222200001110222221112
421213311131001000
5132124443002240
64425122342452
7514015360625
oct114765350100
928601428845
1010332000320
114422165844
1220041baa28
13c88710875
147002a634c
154070dd665
hex267d5d040

10332000320 has 112 divisors (see below), whose sum is σ = 25093867008. Its totient is φ = 4050984960.

The previous prime is 10332000313. The next prime is 10332000373. The reversal of 10332000320 is 2300023301.

It is a super-2 number, since 2×103320003202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332000295 and 10332000304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4780040 + ... + 4782200.

It is an arithmetic number, because the mean of its divisors is an integer number (224052384).

Almost surely, 210332000320 is an apocalyptic number.

10332000320 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 10332000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546933504).

10332000320 is an abundant number, since it is smaller than the sum of its proper divisors (14761866688).

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

10332000320 is a wasteful number, since it uses less digits than its factorization.

10332000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10332000320 its reverse (2300023301), we get a palindrome (12632023621).

The spelling of 10332000320 in words is "ten billion, three hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 223 268 320 335 446 536 670 892 1072 1115 1340 1784 2144 2161 2230 2680 3568 4288 4322 4460 5360 7136 8644 8920 10720 10805 14272 14941 17288 17840 21440 21610 29882 34576 35680 43220 59764 69152 71360 74705 86440 119528 138304 144787 149410 172880 239056 289574 298820 345760 478112 481903 579148 597640 691520 723935 956224 963806 1158296 1195280 1447870 1927612 2316592 2390560 2409515 2895740 3855224 4633184 4781120 4819030 5791480 7710448 9266368 9638060 11582960 15420896 19276120 23165920 30841792 32287501 38552240 46331840 64575002 77104480 129150004 154208960 161437505 258300008 322875010 516600016 645750020 1033200032 1291500040 2066400064 2583000080 5166000160 10332000320