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10532040221034 = 234371940934271
BaseRepresentation
bin1001100101000010111010…
…0001000010000101101010
31101021212000222202211120000
42121100232201002011222
52340024104244033114
634222204045243430
72134625526533043
oct231205641020552
941255028684500
1010532040221034
1133a0682153832
12122121ab63576
135b5223258a67
14285a797258ca
15133e68859e09
hex9942e84216a

10532040221034 has 80 divisors (see below), whose sum is σ = 23617213044480. Its totient is φ = 3508057032480.

The previous prime is 10532040221029. The next prime is 10532040221039. The reversal of 10532040221034 is 43012204023501.

10532040221034 is a `hidden beast` number, since 1 + 0 + 532 + 0 + 4 + 0 + 22 + 103 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10532040221029) and next prime (10532040221039).

It is a super-2 number, since 2×105320402210342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10532040220989 and 10532040221007.

It is not an unprimeable number, because it can be changed into a prime (10532040221039) 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 39 ways as a sum of consecutive naturals, for example, 2465940319 + ... + 2465944589.

It is an arithmetic number, because the mean of its divisors is an integer number (295215163056).

Almost surely, 210532040221034 is an apocalyptic number.

10532040221034 is an abundant number, since it is smaller than the sum of its proper divisors (13085172823446).

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

10532040221034 is a wasteful number, since it uses less digits than its factorization.

10532040221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10532040221034 its reverse (43012204023501), we get a palindrome (53544244244535).

The spelling of 10532040221034 in words is "ten trillion, five hundred thirty-two billion, forty million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 3719 4093 4271 7438 8186 8542 11157 12279 12813 22314 24558 25626 33471 36837 38439 66942 73674 76878 100413 110511 115317 200826 221022 230634 301239 331533 345951 602478 663066 691902 15221867 15883849 17481203 30443734 31767698 34962406 45665601 47651547 52443609 91331202 95303094 104887218 136996803 142954641 157330827 273993606 285909282 314661654 410990409 428863923 471992481 821980818 857727846 943984962 1232971227 1286591769 1415977443 2465942454 2573183538 2831954886 65012593957 130025187914 195037781871 390075563742 585113345613 1170226691226 1755340036839 3510680073678 5266020110517 10532040221034