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2010011112 = 233429106961
BaseRepresentation
bin111011111001110…
…0101010111101000
312012002012010220000
41313303211113220
513104030323422
6531241303000
7100544545464
oct16763452750
95162163800
102010011112
1194166510a
12481194a60
13260570cb5
14150d434a4
15bb6ddcac
hex77ce55e8

2010011112 has 80 divisors (see below), whose sum is σ = 5824080900. Its totient is φ = 646894080.

The previous prime is 2010011111. The next prime is 2010011131. The reversal of 2010011112 is 2111100102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1971892836 + 38118276 = 44406^2 + 6174^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010011094 and 2010011103.

It is not an unprimeable number, because it can be changed into a prime (2010011111) 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 19 ways as a sum of consecutive naturals, for example, 34689 + ... + 72272.

Almost surely, 22010011112 is an apocalyptic number.

It is an amenable number.

2010011112 is an abundant number, since it is smaller than the sum of its proper divisors (3814069788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010011112 is a wasteful number, since it uses less digits than its factorization.

2010011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107008 (or 106995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2010011112 is about 44833.1474692554. The cubic root of 2010011112 is about 1262.0197538438.

Adding to 2010011112 its reverse (2111100102), we get a palindrome (4121111214).

The spelling of 2010011112 in words is "two billion, ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 106961 213922 320883 427844 641766 855688 962649 1283532 1925298 2567064 2887947 3101869 3850596 5775894 6203738 7701192 8663841 9305607 11551788 12407476 17327682 18611214 23103576 24814952 27916821 34655364 37222428 55833642 69310728 74444856 83750463 111667284 167500926 223334568 251251389 335001852 502502778 670003704 1005005556 2010011112