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2112102003 = 3114161157163
BaseRepresentation
bin111110111100100…
…0001111001110011
312110012021220021010
41331321001321303
513311144231003
6545325402003
7103224366534
oct17571017163
95405256233
102112102003
11994254550
124ab409303
132787673cb
1416071a68b
15c5658003
hex7de41e73

2112102003 has 64 divisors (see below), whose sum is σ = 3238792704. Its totient is φ = 1213056000.

The previous prime is 2112101923. The next prime is 2112102019. The reversal of 2112102003 is 3002012112.

It is not a de Polignac number, because 2112102003 - 29 = 2112101491 is a prime.

It is a super-2 number, since 2×21121020032 = 8921949742153224018, 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 2112102003.

It is not an unprimeable number, because it can be changed into a prime (2112102703) 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 63 ways as a sum of consecutive naturals, for example, 12957600 + ... + 12957762.

It is an arithmetic number, because the mean of its divisors is an integer number (50606136).

Almost surely, 22112102003 is an apocalyptic number.

2112102003 is a deficient number, since it is larger than the sum of its proper divisors (1126690701).

2112102003 is a wasteful number, since it uses less digits than its factorization.

2112102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112102003 is about 45957.6109366011. The cubic root of 2112102003 is about 1283.0343868504.

Adding to 2112102003 its reverse (3002012112), we get a palindrome (5114114115).

The spelling of 2112102003 in words is "two billion, one hundred twelve million, one hundred two thousand, three".

Divisors: 1 3 11 33 41 61 123 157 163 183 451 471 489 671 1353 1727 1793 2013 2501 5181 5379 6437 6683 7503 9577 9943 19311 20049 25591 27511 28731 29829 70807 73513 76773 82533 105347 109373 212421 220539 281501 316041 328119 392657 407663 844503 1049231 1177971 1222989 1561051 3147693 4319227 4484293 4683153 11541541 12957681 13452879 17171561 34624623 51514683 64003091 192009273 704034001 2112102003