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2112130111 = 713892511039
BaseRepresentation
bin111110111100100…
…1000110000111111
312110012100022211011
41331321020300333
513311201130421
6545330140051
7103224544510
oct17571106077
95405308734
102112130111
11994273683
124ab421627
13278777140
14160726a07
15c56614e1
hex7de48c3f

2112130111 has 32 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 1644192000.

The previous prime is 2112130109. The next prime is 2112130123. The reversal of 2112130111 is 1110312112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2112130111 - 21 = 2112130109 is a prime.

It is a super-2 number, since 2×21121301112 = 8922187211585744642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2112130091 and 2112130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112130151) 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 31 ways as a sum of consecutive naturals, for example, 2032330 + ... + 2033368.

It is an arithmetic number, because the mean of its divisors is an integer number (82555200).

Almost surely, 22112130111 is an apocalyptic number.

2112130111 is a deficient number, since it is larger than the sum of its proper divisors (529636289).

2112130111 is a wasteful number, since it uses less digits than its factorization.

2112130111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2112130111 is about 45957.9167391212. The cubic root of 2112130111 is about 1283.0400783954.

Adding to 2112130111 its reverse (1110312112), we get a palindrome (3222442223).

The spelling of 2112130111 in words is "two billion, one hundred twelve million, one hundred thirty thousand, one hundred eleven".

Divisors: 1 7 13 89 91 251 623 1039 1157 1757 3263 7273 8099 13507 22339 22841 92471 94549 156373 260789 290407 647297 1202123 1825523 2032849 3390257 8414861 23210221 23731799 162471547 301732873 2112130111