Search a number
-
+
2105164150101 = 323152501143719
BaseRepresentation
bin11110101000100101100…
…011111011010101010101
321110020210111202012101100
4132220211203323111111
5233442334010300401
64251033221420313
7305043634013535
oct36504543732525
97406714665340
102105164150101
11741882310331
1229bbb326a699
13123692c1711c
1473c677014c5
1539b60795b86
hex1ea258fb555

2105164150101 has 24 divisors (see below), whose sum is σ = 3138964375040. Its totient is φ = 1358135100000.

The previous prime is 2105164150099. The next prime is 2105164150121. The reversal of 2105164150101 is 1010514615012.

2105164150101 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 1 + 641 + 5 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 2105164150101 - 21 = 2105164150099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105164150121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14575920 + ... + 14719638.

Almost surely, 22105164150101 is an apocalyptic number.

It is an amenable number.

2105164150101 is a deficient number, since it is larger than the sum of its proper divisors (1033800224939).

2105164150101 is a wasteful number, since it uses less digits than its factorization.

2105164150101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196257 (or 196254 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 2105164150101 its reverse (1010514615012), we get a palindrome (3115678765113).

The spelling of 2105164150101 in words is "two trillion, one hundred five billion, one hundred sixty-four million, one hundred fifty thousand, one hundred one".

Divisors: 1 3 9 31 93 279 52501 143719 157503 431157 472509 1293471 1627531 4455289 4882593 13365867 14647779 40097601 7545391219 22636173657 67908520971 233907127789 701721383367 2105164150101