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105331063341 = 3767269927737
BaseRepresentation
bin110001000011000111…
…0000111101000101101
3101001212200222102100010
41202012032013220231
53211204223011331
6120215522123433
710416126160140
oct1420616075055
9331780872303
10105331063341
1140741703979
12184b71b0579
139c181240aa
1451530a0057
152b17288e46
hex1886387a2d

105331063341 has 32 divisors (see below), whose sum is σ = 162966297600. Its totient is φ = 59266728576.

The previous prime is 105331063339. The next prime is 105331063391. The reversal of 105331063341 is 143360133501.

It is not a de Polignac number, because 105331063341 - 21 = 105331063339 is a prime.

It is a super-2 number, since 2×1053310633412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105331063299 and 105331063308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331063391) 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 31 ways as a sum of consecutive naturals, for example, 3783625 + ... + 3811361.

It is an arithmetic number, because the mean of its divisors is an integer number (5092696800).

Almost surely, 2105331063341 is an apocalyptic number.

It is an amenable number.

105331063341 is a deficient number, since it is larger than the sum of its proper divisors (57635234259).

105331063341 is a wasteful number, since it uses less digits than its factorization.

105331063341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30513.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 105331063341 its reverse (143360133501), we get a palindrome (248691196842).

The spelling of 105331063341 in words is "one hundred five billion, three hundred thirty-one million, sixty-three thousand, three hundred forty-one".

Divisors: 1 3 7 21 67 201 469 1407 2699 8097 18893 27737 56679 83211 180833 194159 542499 582477 1265831 1858379 3797493 5575137 13008653 39025959 74862163 224586489 524035141 1572105423 5015764921 15047294763 35110354447 105331063341