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106435135041 = 3239531618613
BaseRepresentation
bin110001100100000000…
…1110100011001000001
3101011201122111001222120
41203020001310121001
53220434343310131
6120521242154453
710455363502104
oct1431001643101
9334648431876
10106435135041
114115894a324
1218764ab2a29
13a062a9c161
14521997c73b
152b7e176496
hex18c8074641

106435135041 has 16 divisors (see below), whose sum is σ = 148239144576. Its totient is φ = 67800419456.

The previous prime is 106435135013. The next prime is 106435135063. The reversal of 106435135041 is 140531534601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106435135041 - 221 = 106433037889 is a prime.

It is a super-2 number, since 2×1064351350412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106435134993 and 106435135011.

It is not an unprimeable number, because it can be changed into a prime (106435135091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743550 + ... + 875063.

It is an arithmetic number, because the mean of its divisors is an integer number (9264946536).

Almost surely, 2106435135041 is an apocalyptic number.

It is an amenable number.

106435135041 is a deficient number, since it is larger than the sum of its proper divisors (41804009535).

106435135041 is a wasteful number, since it uses less digits than its factorization.

106435135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619592.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 106435135041 its reverse (140531534601), we get a palindrome (246966669642).

The spelling of 106435135041 in words is "one hundred six billion, four hundred thirty-five million, one hundred thirty-five thousand, forty-one".

Divisors: 1 3 23 69 953 2859 21919 65757 1618613 4855839 37228099 111684297 1542538189 4627614567 35478378347 106435135041