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10230211010313 = 3272431154934747
BaseRepresentation
bin1001010011011110100000…
…0101111101111100001001
31100012222221222212021102200
42110313220011331330021
52320102433004312223
633431405525550413
72104052110552500
oct224675005757411
940188858767380
1010230211010313
113294676461438
121192824b75409
13592921480458
142752056a5837
1512b1a07c2a43
hex94de817df09

10230211010313 has 72 divisors (see below), whose sum is σ = 17241040252800. Its totient is φ = 5828338514880.

The previous prime is 10230211010309. The next prime is 10230211010333. The reversal of 10230211010313 is 31301011203201.

10230211010313 is a `hidden beast` number, since 1 + 0 + 230 + 2 + 110 + 10 + 313 = 666.

It is not a de Polignac number, because 10230211010313 - 22 = 10230211010309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10230211010333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294402606 + ... + 294437352.

It is an arithmetic number, because the mean of its divisors is an integer number (239458892400).

Almost surely, 210230211010313 is an apocalyptic number.

It is an amenable number.

10230211010313 is a deficient number, since it is larger than the sum of its proper divisors (7010829242487).

10230211010313 is a wasteful number, since it uses less digits than its factorization.

10230211010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36747 (or 36737 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10230211010313 its reverse (31301011203201), we get a palindrome (41531222213514).

The spelling of 10230211010313 in words is "ten trillion, two hundred thirty billion, two hundred eleven million, ten thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 431 441 1293 1549 3017 3879 4647 9051 10843 13941 21119 27153 32529 34747 63357 75901 97587 104241 190071 227703 243229 312723 667619 683109 729687 1702603 2002857 2189061 4673333 5107809 6008571 14019999 14975957 15323427 32713331 42059997 44927871 53823103 98139993 104831699 134783613 161469309 294419979 314495097 376761721 484407927 733821893 943485291 1130285163 2201465679 2637332047 3390855489 6604397037 7911996141 23197757393 23735988423 69593272179 162384301751 208779816537 487152905253 1136690112257 1461458715759 3410070336771 10230211010313