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106610840240 = 2451332635503
BaseRepresentation
bin110001101001010000…
…0000101001010110000
3101012011220002211012112
41203102200011022300
53221314333341430
6120550520144452
710462626122132
oct1432240051260
9335156084175
10106610840240
1141239049233
12187b3908128
13a0902cb228
145235039052
152b8e7d2195
hex18d28052b0

106610840240 has 20 divisors (see below), whose sum is σ = 247870203744. Its totient is φ = 42644336064.

The previous prime is 106610840233. The next prime is 106610840261. The reversal of 106610840240 is 42048016601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1066108402402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106610840197 and 106610840206.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 666317672 + ... + 666317831.

Almost surely, 2106610840240 is an apocalyptic number.

106610840240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106610840240 is an abundant number, since it is smaller than the sum of its proper divisors (141259363504).

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

106610840240 is a wasteful number, since it uses less digits than its factorization.

106610840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332635516 (or 1332635510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 106610840240 its reverse (42048016601), we get a palindrome (148658856841).

The spelling of 106610840240 in words is "one hundred six billion, six hundred ten million, eight hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1332635503 2665271006 5330542012 6663177515 10661084024 13326355030 21322168048 26652710060 53305420120 106610840240