Search a number
-
+
2101122197 = 23199467983
BaseRepresentation
bin111110100111100…
…1001010010010101
312102102122001210122
41331033021102111
513300341402242
6544254201325
7103032146456
oct17517112225
95372561718
102101122197
11989035229
124a77b3245
132763c1895
1415d09d12d
15c46d9ad2
hex7d3c9495

2101122197 has 16 divisors (see below), whose sum is σ = 2210457600. Its totient is φ = 1993357872.

The previous prime is 2101122187. The next prime is 2101122217. The reversal of 2101122197 is 7912211012.

It is a cyclic number.

It is not a de Polignac number, because 2101122197 - 212 = 2101118101 is a prime.

It is a super-2 number, since 2×21011221972 = 8829428973452213618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2136968 + ... + 2137950.

It is an arithmetic number, because the mean of its divisors is an integer number (138153600).

Almost surely, 22101122197 is an apocalyptic number.

It is an amenable number.

2101122197 is a deficient number, since it is larger than the sum of its proper divisors (109335403).

2101122197 is a wasteful number, since it uses less digits than its factorization.

2101122197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 2101122197 is about 45837.9994873249. Note that the first 3 decimals coincide. The cubic root of 2101122197 is about 1280.8072294628.

The spelling of 2101122197 in words is "two billion, one hundred one million, one hundred twenty-two thousand, one hundred ninety-seven".

Divisors: 1 23 199 467 983 4577 10741 22609 92933 195617 459061 2137459 4499191 10558403 91353139 2101122197