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13005351542022 = 2378323711573487
BaseRepresentation
bin1011110101000000101101…
…0110111101110100000110
31201001022002022101000211120
42331100023112331310012
53201034424443321042
643354324230414410
72511414510064620
oct275201326756406
951038068330746
1013005351542022
1141645a19954a4
121560635b01406
137345265c0028
1432d668a75c10
151784743cddec
hexbd40b5bdd06

13005351542022 has 64 divisors (see below), whose sum is σ = 30097376354304. Its totient is φ = 3669495230880.

The previous prime is 13005351542017. The next prime is 13005351542033. The reversal of 13005351542022 is 22024515350031.

It is a congruent number.

It is an unprimeable number.

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, 7478563 + ... + 9052049.

It is an arithmetic number, because the mean of its divisors is an integer number (470271505536).

Almost surely, 213005351542022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005351542022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048688177152).

13005351542022 is an abundant number, since it is smaller than the sum of its proper divisors (17092024812282).

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

13005351542022 is a wasteful number, since it uses less digits than its factorization.

13005351542022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575953.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 13005351542022 its reverse (22024515350031), we get a palindrome (35029866892053).

The spelling of 13005351542022 in words is "thirteen trillion, five billion, three hundred fifty-one million, five hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1743 2371 3486 4742 7113 14226 16597 33194 49791 99582 196793 393586 590379 1180758 1377551 1573487 2755102 3146974 4132653 4720461 8265306 9440922 11014409 22028818 33043227 66086454 130599421 261198842 391798263 783596526 914195947 1828391894 2742587841 3730737677 5485175682 7461475354 11192213031 22384426062 26115163739 52230327478 78345491217 156690982434 309651227191 619302454382 928953681573 1857907363146 2167558590337 4335117180674 6502675771011 13005351542022