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10300103142433 = 1319735407105649
BaseRepresentation
bin1001010111100010110111…
…1111010010110000100001
31100110200100220020110101121
42111320231333102300201
52322224102401024213
633523445124532241
72112105105100516
oct225705577226041
940420326213347
1010300103142433
1133112817787a5
1211a428b851081
135993ac45b050
14278755c3d30d
1512cde16c788d
hex95e2dfd2c21

10300103142433 has 32 divisors (see below), whose sum is σ = 11838479744000. Its totient is φ = 8882261784576.

The previous prime is 10300103142409. The next prime is 10300103142467. The reversal of 10300103142433 is 33424130100301.

It is a cyclic number.

It is not a de Polignac number, because 10300103142433 - 237 = 10162664188961 is a prime.

It is a super-2 number, since 2×103001031424332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300103142398 and 10300103142407.

It is not an unprimeable number, because it can be changed into a prime (10300103146433) 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 31 ways as a sum of consecutive naturals, for example, 97440793 + ... + 97546441.

It is an arithmetic number, because the mean of its divisors is an integer number (369952492000).

Almost surely, 210300103142433 is an apocalyptic number.

10300103142433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300103142433 is a deficient number, since it is larger than the sum of its proper divisors (1538376601567).

10300103142433 is a wasteful number, since it uses less digits than its factorization.

10300103142433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111161.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10300103142433 its reverse (33424130100301), we get a palindrome (43724233242734).

The spelling of 10300103142433 in words is "ten trillion, three hundred billion, one hundred three million, one hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 13 19 73 247 949 1387 5407 18031 70291 102733 105649 394711 1335529 1373437 2007331 5131243 7499509 7712377 26095303 97493617 100260901 146535163 571244143 1904957119 7426173859 10853638717 41700822439 141097303321 542110691707 792315626341 10300103142433