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106561044044 = 22713292750121
BaseRepresentation
bin110001100111110001…
…0000111111001001100
3101012001102101220122222
41203033202013321030
53221214111402134
6120541540554512
710461452633540
oct1431742077114
9335042356588
10106561044044
1141212a27654
121879b0b2a38
13a082bb4820
14522c595a20
152b8a247a2e
hex18cf887e4c

106561044044 has 24 divisors (see below), whose sum is σ = 229516095648. Its totient is φ = 42156017280.

The previous prime is 106561044041. The next prime is 106561044047. The reversal of 106561044044 is 440440165601.

It is an interprime number because it is at equal distance from previous prime (106561044041) and next prime (106561044047).

It is a super-2 number, since 2×1065610440442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106561043995 and 106561044013.

It is not an unprimeable number, because it can be changed into a prime (106561044041) 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 7 ways as a sum of consecutive naturals, for example, 146374697 + ... + 146375424.

It is an arithmetic number, because the mean of its divisors is an integer number (9563170652).

Almost surely, 2106561044044 is an apocalyptic number.

106561044044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106561044044 is an abundant number, since it is smaller than the sum of its proper divisors (122955051604).

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

106561044044 is a wasteful number, since it uses less digits than its factorization.

106561044044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292750145 (or 292750143 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 106561044044 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 292750121 585500242 1171000484 2049250847 3805751573 4098501694 7611503146 8197003388 15223006292 26640261011 53280522022 106561044044