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106502144001 = 3113227337697
BaseRepresentation
bin110001100110000000…
…1011100000000000001
3101011220022120110222220
41203030001130000001
53221104022102001
6120532034321253
710460136200361
oct1431401340001
9334808513886
10106502144001
1141192758130
1218783429229
13a073931426
1452248229a1
152b84eb0c36
hex18cc05c001

106502144001 has 8 divisors (see below), whose sum is σ = 154912209504. Its totient is φ = 64546753920.

The previous prime is 106502143921. The next prime is 106502144003. The reversal of 106502144001 is 100441205601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106502144001 - 219 = 106501619713 is a prime.

It is a super-2 number, since 2×1065021440012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106502144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613668816 + ... + 1613668881.

It is an arithmetic number, because the mean of its divisors is an integer number (19364026188).

Almost surely, 2106502144001 is an apocalyptic number.

106502144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106502144001 is a deficient number, since it is larger than the sum of its proper divisors (48410065503).

106502144001 is a wasteful number, since it uses less digits than its factorization.

106502144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227337711.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 106502144001 its reverse (100441205601), we get a palindrome (206943349602).

The spelling of 106502144001 in words is "one hundred six billion, five hundred two million, one hundred forty-four thousand, one".

Divisors: 1 3 11 33 3227337697 9682013091 35500714667 106502144001