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105124530021 = 37163297110337
BaseRepresentation
bin110000111100111101…
…0010000011101100101
3101001100022100102212220
41201321322100131211
53210243334430041
6120143223302553
710411040522160
oct1417172203545
9331308312786
10105124530021
1140646069385
1218459baaa59
139bb43c0124
14513389aad7
152b0408dd66
hex1879e90765

105124530021 has 32 divisors (see below), whose sum is σ = 161242364928. Its totient is φ = 59676756480.

The previous prime is 105124530013. The next prime is 105124530023. The reversal of 105124530021 is 120035421501.

It is a happy number.

It is not a de Polignac number, because 105124530021 - 23 = 105124530013 is a prime.

It is a super-2 number, since 2×1051245300212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105124529973 and 105124530000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124530023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10164565 + ... + 10174901.

It is an arithmetic number, because the mean of its divisors is an integer number (5038823904).

Almost surely, 2105124530021 is an apocalyptic number.

It is an amenable number.

105124530021 is a deficient number, since it is larger than the sum of its proper divisors (56117834907).

105124530021 is a wasteful number, since it uses less digits than its factorization.

105124530021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105124530021 its reverse (120035421501), we get a palindrome (225159951522).

The spelling of 105124530021 in words is "one hundred five billion, one hundred twenty-four million, five hundred thirty thousand, twenty-one".

Divisors: 1 3 7 21 163 489 1141 2971 3423 8913 10337 20797 31011 62391 72359 217077 484273 1452819 1684931 3389911 5054793 10169733 11794517 30711227 35383551 92133681 214978589 644935767 5005930001 15017790003 35041510007 105124530021