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10535434041 = 3112931379937
BaseRepresentation
bin10011100111111010…
…11111011100111001
31000012020021111112210
421303331133130321
5133034032342131
64501230525333
7522035466066
oct116375373471
930166244483
1010535434041
114516a83590
122060366849
13cbb8caa52
1471d2ddc6d
15419dc5146
hex273f5f739

10535434041 has 64 divisors (see below), whose sum is σ = 16424755200. Its totient is φ = 5943974400.

The previous prime is 10535434031. The next prime is 10535434069. The reversal of 10535434041 is 14043453501.

It is not a de Polignac number, because 10535434041 - 25 = 10535434009 is a prime.

It is a super-2 number, since 2×105354340412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535434031) 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 63 ways as a sum of consecutive naturals, for example, 11243325 + ... + 11244261.

It is an arithmetic number, because the mean of its divisors is an integer number (256636800).

Almost surely, 210535434041 is an apocalyptic number.

10535434041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10535434041 is a deficient number, since it is larger than the sum of its proper divisors (5889321159).

10535434041 is a wasteful number, since it uses less digits than its factorization.

10535434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10535434041 its reverse (14043453501), we get a palindrome (24578887542).

The spelling of 10535434041 in words is "ten billion, five hundred thirty-five million, four hundred thirty-four thousand, forty-one".

Divisors: 1 3 11 29 31 33 87 93 319 341 379 899 937 957 1023 1137 2697 2811 4169 9889 10307 10991 11749 12507 27173 29047 29667 30921 32973 35247 81519 87141 120901 129239 298903 319517 340721 355123 362703 387717 842363 896709 958551 1022163 1065369 2527089 3747931 3906353 9265993 10298567 11008813 11243793 11719059 27797979 30895701 33026439 113284237 121096943 319255577 339852711 363290829 957766731 3511811347 10535434041