Search a number
-
+
1006102141332 = 223419200099869
BaseRepresentation
bin11101010010000000101…
…11000101100110010100
310120011220222200022201120
432221000113011212110
5112440444122010312
62050110312323540
7132455102045361
oct16510027054624
93504828608646
101006102141332
1135875a480002
12142ba56a35b0
1373b4b577962
14369a4a43468
151b28732828c
hexea405c5994

1006102141332 has 24 divisors (see below), whose sum is σ = 2353174471200. Its totient is φ = 334566979296.

The previous prime is 1006102141313. The next prime is 1006102141361. The reversal of 1006102141332 is 2331412016001.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 100044907 + ... + 100054962.

It is an arithmetic number, because the mean of its divisors is an integer number (98048936300).

Almost surely, 21006102141332 is an apocalyptic number.

1006102141332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006102141332 is an abundant number, since it is smaller than the sum of its proper divisors (1347072329868).

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

1006102141332 is a wasteful number, since it uses less digits than its factorization.

1006102141332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200100295 (or 200100293 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1006102141332 its reverse (2331412016001), we get a palindrome (3337514157333).

The spelling of 1006102141332 in words is "one trillion, six billion, one hundred two million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 419 838 1257 1676 2514 5028 200099869 400199738 600299607 800399476 1200599214 2401198428 83841845111 167683690222 251525535333 335367380444 503051070666 1006102141332