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10301132010331 = 1923253145113327
BaseRepresentation
bin1001010111100110101101…
…0100000111001101011011
31100110210000121020100211001
42111321223110013031123
52322233204243312311
633524135201045431
72112142440243421
oct225715324071533
940423017210731
1010301132010331
11331175a519448
1211a4518326877
13599514664b16
14278812743111
1512ce51bac4c1
hex95e6b50735b

10301132010331 has 48 divisors (see below), whose sum is σ = 11557941373440. Its totient is φ = 9151539883200.

The previous prime is 10301132010283. The next prime is 10301132010373. The reversal of 10301132010331 is 13301023110301.

It is not a de Polignac number, because 10301132010331 - 211 = 10301132008283 is a prime.

It is a super-2 number, since 2×103011320103312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10301132010299 and 10301132010308.

It is not an unprimeable number, because it can be changed into a prime (10301132010931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772945390 + ... + 772958716.

It is an arithmetic number, because the mean of its divisors is an integer number (240790445280).

Almost surely, 210301132010331 is an apocalyptic number.

10301132010331 is a deficient number, since it is larger than the sum of its proper divisors (1256809363109).

10301132010331 is a wasteful number, since it uses less digits than its factorization.

10301132010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14896 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10301132010331 its reverse (13301023110301), we get a palindrome (23602155120632).

The spelling of 10301132010331 in words is "ten trillion, three hundred one billion, one hundred thirty-two million, ten thousand, three hundred thirty-one".

Divisors: 1 19 23 53 437 529 1007 1219 1451 10051 13327 23161 27569 28037 33373 76903 253213 306521 532703 634087 706331 767579 1461157 1768769 5823899 7049983 13420289 14584001 16245613 19337477 33606611 40681687 133949677 308666647 367412063 373649099 444761971 772952053 1024886281 7099332881 8450477449 10229525333 19472839339 23572384463 194360981327 447875304797 542164842649 10301132010331