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100106110066 = 225725871291
BaseRepresentation
bin101110100111011001…
…0100000010001110010
3100120101120022021220011
41131032302200101302
53120004131010231
6113553233205134
710142502616204
oct1351662402162
9316346267804
10100106110066
1139500320176
12174994007aa
1395947b2371
144bb91a2774
15290d6e99b1
hex174eca0472

100106110066 has 24 divisors (see below), whose sum is σ = 151119488016. Its totient is φ = 49734804480.

The previous prime is 100106110057. The next prime is 100106110073. The reversal of 100106110066 is 660011601001.

Adding to 100106110066 its reverse (660011601001), we get a palindrome (760117711067).

It is a super-2 number, since 2×1001061100662 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 77540881 + ... + 77542171.

It is an arithmetic number, because the mean of its divisors is an integer number (6296645334).

Almost surely, 2100106110066 is an apocalyptic number.

100106110066 is a deficient number, since it is larger than the sum of its proper divisors (51013377950).

100106110066 is an equidigital number, since it uses as much as digits as its factorization.

100106110066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 100106110066 in words is "one hundred billion, one hundred six million, one hundred ten thousand, sixty-six".

Divisors: 1 2 257 514 587 1174 1291 2582 66049 132098 150859 301718 331787 663574 757817 1515634 38770763 77541526 85269259 170538518 194758969 389517938 50053055033 100106110066