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10338202541 = 2310118772371
BaseRepresentation
bin10011010000011010…
…00111001110101101
3222200111011002210102
421220031013032231
5132133034440131
64425503320445
7514122162122
oct115015071655
928614132712
1010338202541
114425711647
1220062b0125
13c89aa2914
1470103c749
154079161cb
hex2683473ad

10338202541 has 16 divisors (see below), whose sum is σ = 10904899968. Its totient is φ = 9781464000.

The previous prime is 10338202529. The next prime is 10338202543. The reversal of 10338202541 is 14520283301.

It is a happy number.

10338202541 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10338202541 - 230 = 9264460717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338202543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4359086 + ... + 4361456.

It is an arithmetic number, because the mean of its divisors is an integer number (681556248).

Almost surely, 210338202541 is an apocalyptic number.

It is an amenable number.

10338202541 is a deficient number, since it is larger than the sum of its proper divisors (566697427).

10338202541 is a wasteful number, since it uses less digits than its factorization.

10338202541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10338202541 its reverse (14520283301), we get a palindrome (24858485842).

The spelling of 10338202541 in words is "ten billion, three hundred thirty-eight million, two hundred two thousand, five hundred forty-one".

Divisors: 1 23 101 1877 2323 2371 43171 54533 189577 239471 4360271 4450367 5507833 102358441 449487067 10338202541