Search a number
-
+
1001010100008 = 233411017286687
BaseRepresentation
bin11101001000100001101…
…10011111011100101000
310112200210010002211012110
432210100312133130220
5112400032041200013
62043505132242320
7132214651314012
oct16442066373450
93480703084173
101001010100008
11356587117a96
121420043103a0
1373519630c59
14366406631b2
151b08a2902c3
hexe910d9f728

1001010100008 has 32 divisors (see below), whose sum is σ = 2563562453760. Its totient is φ = 325531739520.

The previous prime is 1001010100001. The next prime is 1001010100031. The reversal of 1001010100008 is 8000010101001.

It is a happy number.

1001010100008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001010099966 and 1001010100002.

It is not an unprimeable number, because it can be changed into a prime (1001010100001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508642360 + ... + 508644327.

It is an arithmetic number, because the mean of its divisors is an integer number (80111326680).

Almost surely, 21001010100008 is an apocalyptic number.

It is an amenable number.

1001010100008 is an abundant number, since it is smaller than the sum of its proper divisors (1562552353752).

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

1001010100008 is a wasteful number, since it uses less digits than its factorization.

1001010100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017286737 (or 1017286733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001010100008 its reverse (8000010101001), we get a palindrome (9001020201009).

The spelling of 1001010100008 in words is "one trillion, one billion, ten million, one hundred thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1017286687 2034573374 3051860061 4069146748 6103720122 8138293496 12207440244 24414880488 41708754167 83417508334 125126262501 166835016668 250252525002 333670033336 500505050004 1001010100008