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2101321131 = 3713193710949
BaseRepresentation
bin111110100111111…
…1001110110101011
312102110000011200120
41331033321312223
513300414234011
6544302334323
7103033635450
oct17517716653
95373004616
102101321131
11989160738
124a788a3a3
132764612b0
1415d111827
15c4728a06
hex7d3f9dab

2101321131 has 64 divisors (see below), whose sum is σ = 3728256000. Its totient is φ = 1021579776.

The previous prime is 2101321111. The next prime is 2101321141. The reversal of 2101321131 is 1311231012.

It is a happy number.

It is not a de Polignac number, because 2101321131 - 25 = 2101321099 is a prime.

It is a super-2 number, since 2×21013211312 = 8831100991174238322, 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 2101321131.

It is not an unprimeable number, because it can be changed into a prime (2101321111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186445 + ... + 197393.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 22101321131 is an apocalyptic number.

2101321131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101321131 is a deficient number, since it is larger than the sum of its proper divisors (1626934869).

2101321131 is a wasteful number, since it uses less digits than its factorization.

2101321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11028.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2101321131 is about 45840.1694041372. The cubic root of 2101321131 is about 1280.8476504126.

Adding to 2101321131 its reverse (1311231012), we get a palindrome (3412552143).

The spelling of 2101321131 in words is "two billion, one hundred one million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 13 19 21 37 39 57 91 111 133 247 259 273 399 481 703 741 777 1443 1729 2109 3367 4921 5187 9139 10101 10949 14763 27417 32847 63973 76643 142337 191919 208031 229929 405113 427011 624093 996359 1215339 1456217 2704403 2835791 2989077 4368651 5266469 7697147 8113209 8507373 15799407 18930821 23091441 36865283 53880029 56792463 100062911 110595849 161640087 300188733 700440377 2101321131