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2104331031 = 3211294211741
BaseRepresentation
bin111110101101101…
…1000101100010111
312102122200002111100
41331123120230113
513302202043111
6544451041143
7103101342615
oct17533305427
95378602440
102104331031
1198a927060
124a88a01b3
13276c762ba
1415d6966b5
15c4b20756
hex7d6d8b17

2104331031 has 48 divisors (see below), whose sum is σ = 3440380320. Its totient is φ = 1227744000.

The previous prime is 2104331003. The next prime is 2104331083. The reversal of 2104331031 is 1301334012.

It is not a de Polignac number, because 2104331031 - 26 = 2104330967 is a prime.

It is a super-2 number, since 2×21043310312 = 8856418176059045922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2104330995 and 2104331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104335031) 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 47 ways as a sum of consecutive naturals, for example, 1207821 + ... + 1209561.

It is an arithmetic number, because the mean of its divisors is an integer number (71674590).

Almost surely, 22104331031 is an apocalyptic number.

2104331031 is a deficient number, since it is larger than the sum of its proper divisors (1336049289).

2104331031 is a wasteful number, since it uses less digits than its factorization.

2104331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2104331031 is about 45872.9880321742. The cubic root of 2104331031 is about 1281.4589141280.

Adding to 2104331031 its reverse (1301334012), we get a palindrome (3405665043).

The spelling of 2104331031 in words is "two billion, one hundred four million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 421 957 1263 1741 2871 3789 4631 5223 12209 13893 15669 19151 36627 41679 50489 57453 109881 134299 151467 172359 402897 454401 555379 732961 1208691 1666137 2198883 4998411 6596649 8062571 21255869 24187713 63767607 72563139 191302821 233814559 701443677 2104331031