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2105226531 = 34233331337
BaseRepresentation
bin111110101111011…
…0011010100100011
312102201100120220000
41331132303110203
513302414222111
6544522151043
7103112062452
oct17536632443
95381316800
102105226531
11990388941
124a9052483
132771caa95
1415d84ab99
15c4c4ac56
hex7d7b3523

2105226531 has 40 divisors (see below), whose sum is σ = 3177283824. Its totient is φ = 1389104640.

The previous prime is 2105226517. The next prime is 2105226553. The reversal of 2105226531 is 1356225012.

It is a happy number.

2105226531 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 2 + 2 + 653 + 1 = 666.

It is not a de Polignac number, because 2105226531 - 215 = 2105193763 is a prime.

It is a super-2 number, since 2×21052265312 = 8863957493652587922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2105226495 and 2105226504.

It is not an unprimeable number, because it can be changed into a prime (2105226511) 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 39 ways as a sum of consecutive naturals, for example, 6246795 + ... + 6247131.

Almost surely, 22105226531 is an apocalyptic number.

2105226531 is a deficient number, since it is larger than the sum of its proper divisors (1072057293).

2105226531 is a wasteful number, since it uses less digits than its factorization.

2105226531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2105226531 is about 45882.7476400444. The cubic root of 2105226531 is about 1281.6406636879.

The spelling of 2105226531 in words is "two billion, one hundred five million, two hundred twenty-six thousand, five hundred thirty-one".

Divisors: 1 3 9 27 81 233 331 337 699 993 1011 2097 2979 3033 6291 8937 9099 18873 26811 27297 77123 78521 111547 231369 235563 334641 694107 706689 1003923 2082321 2120067 3011769 6246963 6360201 9035307 25990451 77971353 233914059 701742177 2105226531