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2101122231 = 313131411259
BaseRepresentation
bin111110100111100…
…1001010010110111
312102102122001211220
41331033021102313
513300341402411
6544254201423
7103032146535
oct17517112267
95372561756
102101122231
1198903525a
124a77b3273
132763c18c0
1415d09d155
15c46d9b06
hex7d3c94b7

2101122231 has 16 divisors (see below), whose sum is σ = 3040033920. Its totient is φ = 1283124960.

The previous prime is 2101122229. The next prime is 2101122251. The reversal of 2101122231 is 1322211012.

It is not a de Polignac number, because 2101122231 - 21 = 2101122229 is a prime.

It is a super-2 number, since 2×21011222312 = 8829429259204834722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101122231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200521 + ... + 210738.

It is an arithmetic number, because the mean of its divisors is an integer number (190002120).

Almost surely, 22101122231 is an apocalyptic number.

2101122231 is a deficient number, since it is larger than the sum of its proper divisors (938911689).

2101122231 is a wasteful number, since it uses less digits than its factorization.

2101122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411406.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2101122231 is about 45837.9998581963. Note that the first 3 decimals coincide. The cubic root of 2101122231 is about 1280.8072363714.

Adding to 2101122231 its reverse (1322211012), we get a palindrome (3423333243).

The spelling of 2101122231 in words is "two billion, one hundred one million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 13 39 131 393 1703 5109 411259 1233777 5346367 16039101 53874929 161624787 700374077 2101122231