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10101323320 = 2351125789329
BaseRepresentation
bin10010110100001010…
…11111011000111000
3222001222102101120221
421122011133120320
5131141414321240
64350202225424
7505214555134
oct113205373070
928058371527
1010101323320
114313a2a7a0
121b5aab5274
13c4c9a53ba
146bb7ba3c4
153e1c24a4a
hex25a15f638

10101323320 has 64 divisors (see below), whose sum is σ = 24890911200. Its totient is φ = 3658874880.

The previous prime is 10101323317. The next prime is 10101323339. The reversal of 10101323320 is 2332310101.

10101323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10101323294 and 10101323303.

It is a congruent number.

It is an unprimeable number.

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, 68416 + ... + 157744.

Almost surely, 210101323320 is an apocalyptic number.

10101323320 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 10101323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445455600).

10101323320 is an abundant number, since it is smaller than the sum of its proper divisors (14789587880).

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

10101323320 is a wasteful number, since it uses less digits than its factorization.

10101323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89608 (or 89604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10101323320 its reverse (2332310101), we get a palindrome (12433633421).

The spelling of 10101323320 in words is "ten billion, one hundred one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 1028 1285 2056 2570 2827 5140 5654 10280 11308 14135 22616 28270 56540 89329 113080 178658 357316 446645 714632 893290 982619 1786580 1965238 3573160 3930476 4913095 7860952 9826190 19652380 22957553 39304760 45915106 91830212 114787765 183660424 229575530 252533083 459151060 505066166 918302120 1010132332 1262665415 2020264664 2525330830 5050661660 10101323320