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106030464144 = 24311200815273
BaseRepresentation
bin110001010111111101…
…0000111110010010000
3101010200110000122212120
41202233322013302100
53214122244323034
6120413144454240
710442351034423
oct1425772076220
9333613018776
10106030464144
1140a70484070
121867147a380
139cc9cb3817
1451bbd1d9ba
152b5888dc49
hex18afe87c90

106030464144 has 40 divisors (see below), whose sum is σ = 298813127712. Its totient is φ = 32130443520.

The previous prime is 106030464131. The next prime is 106030464161. The reversal of 106030464144 is 441464030601.

It is a super-2 number, since 2×1060304641442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100407109 + ... + 100408164.

Almost surely, 2106030464144 is an apocalyptic number.

It is an amenable number.

106030464144 is an abundant number, since it is smaller than the sum of its proper divisors (192782663568).

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

106030464144 is a wasteful number, since it uses less digits than its factorization.

106030464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200815295 (or 200815289 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 106030464144 its reverse (441464030601), we get a palindrome (547494494745).

The spelling of 106030464144 in words is "one hundred six billion, thirty million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 200815273 401630546 602445819 803261092 1204891638 1606522184 2208968003 2409783276 3213044368 4417936006 4819566552 6626904009 8835872012 9639133104 13253808018 17671744024 26507616036 35343488048 53015232072 106030464144