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1005142421335 = 513107383377339
BaseRepresentation
bin11101010000001110010…
…10000010111101010111
310120002110002210111101111
432220013022002331113
5112432012424440320
62045431150235451
7132422236420033
oct16500712027527
93502402714344
101005142421335
11358307769188
121429781b5b87
1373a277a18c0
14369133bd1c3
151b22ce51a5a
hexea07282f57

1005142421335 has 32 divisors (see below), whose sum is σ = 1314519736320. Its totient is φ = 733400174208.

The previous prime is 1005142421293. The next prime is 1005142421383. The reversal of 1005142421335 is 5331242415001.

1005142421335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005142421335 - 219 = 1005141897047 is a prime.

It is a super-2 number, since 2×10051424213352 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005142421297 and 1005142421306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2475096 + ... + 2852434.

It is an arithmetic number, because the mean of its divisors is an integer number (41078741760).

Almost surely, 21005142421335 is an apocalyptic number.

1005142421335 is a deficient number, since it is larger than the sum of its proper divisors (309377314985).

1005142421335 is a wasteful number, since it uses less digits than its factorization.

1005142421335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377847.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1005142421335 its reverse (5331242415001), we get a palindrome (6336384836336).

The spelling of 1005142421335 in words is "one trillion, five billion, one hundred forty-two million, four hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 5 13 65 107 383 535 1391 1915 4979 6955 24895 40981 204905 377339 532753 1886695 2663765 4905407 24527035 40375273 144520837 201876365 524878549 722604185 1878770881 2624392745 9393854405 15463729559 77318647795 201028484267 1005142421335