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2111002124 = 2272117091381
BaseRepresentation
bin111110111010011…
…0101011000001100
312110010020000111212
41331310311120030
513310404031444
6545250033552
7103212136100
oct17564653014
95403200455
102111002124
11993673160
124aab788b8
132784708aa
14160511900
15c54dc19e
hex7dd3560c

2111002124 has 72 divisors (see below), whose sum is σ = 4698081360. Its totient is φ = 820713600.

The previous prime is 2111002099. The next prime is 2111002129. The reversal of 2111002124 is 4212001112.

It is a happy number.

It is a super-2 number, since 2×21110021242 = 8912659935065022752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2111002099 and 2111002108.

It is not an unprimeable number, because it can be changed into a prime (2111002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527914 + ... + 1529294.

It is an arithmetic number, because the mean of its divisors is an integer number (65251130).

Almost surely, 22111002124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111002124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349040680).

2111002124 is an abundant number, since it is smaller than the sum of its proper divisors (2587079236).

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

2111002124 is a wasteful number, since it uses less digits than its factorization.

2111002124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2111002124 is about 45945.6431449164. The cubic root of 2111002124 is about 1282.8116344130.

Adding to 2111002124 its reverse (4212001112), we get a palindrome (6323003236).

The spelling of 2111002124 in words is "two billion, one hundred eleven million, two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 709 1078 1381 1418 2156 2762 2836 4963 5524 7799 9667 9926 15191 15598 19334 19852 30382 31196 34741 38668 54593 60764 67669 69482 106337 109186 135338 138964 212674 218372 270676 382151 425348 744359 764302 979129 1488718 1528604 1958258 2977436 3916516 6853903 10770419 13707806 21540838 27415612 43081676 47977321 75392933 95954642 150785866 191909284 301571732 527750531 1055501062 2111002124