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4110103242 = 233722921847
BaseRepresentation
bin1111010011111011…
…0011001011001010
3101121102212212201000
43310332303023022
531404141300432
61515501435430
7203565205200
oct36476631312
911542785630
104110103242
11181a056443
1296856bb76
13506691a6b
142adc15070
15190c7357c
hexf4fb32ca

4110103242 has 144 divisors (see below), whose sum is σ = 11009718720. Its totient is φ = 1133207712.

The previous prime is 4110103223. The next prime is 4110103259. The reversal of 4110103242 is 2423010114.

4110103242 is a `hidden beast` number, since 411 + 0 + 10 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2224363 + ... + 2226209.

It is an arithmetic number, because the mean of its divisors is an integer number (76456380).

Almost surely, 24110103242 is an apocalyptic number.

4110103242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4110103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504859360).

4110103242 is an abundant number, since it is smaller than the sum of its proper divisors (6899615478).

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

4110103242 is a wasteful number, since it uses less digits than its factorization.

4110103242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4110103242 is about 64110.0868974610. The cubic root of 4110103242 is about 1601.8342560224.

Adding to 4110103242 its reverse (2423010114), we get a palindrome (6533113356).

The spelling of 4110103242 in words is "four billion, one hundred ten million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 841 882 1218 1323 1421 1566 1682 1827 1847 2523 2646 2842 3654 3694 4263 5046 5481 5541 5887 7569 8526 10962 11082 11774 12789 12929 15138 16623 17661 22707 25578 25858 33246 35322 38367 38787 41209 45414 49869 52983 53563 76734 77574 82418 90503 99738 105966 107126 116361 123627 158949 160689 181006 232722 247254 271509 317898 321378 349083 370881 374941 482067 543018 698166 741762 749882 814527 964134 1112643 1124823 1446201 1553327 1629054 2225286 2249646 2443581 2624587 2892402 3106654 3374469 4659981 4887162 5249174 6748938 7873761 9319962 10123407 10873289 13979943 15747522 20246814 21746578 23621283 27959886 32619867 41939829 47242566 65239734 70863849 76113023 83879658 97859601 141727698 152226046 195719202 228339069 293578803 456678138 587157606 685017207 1370034414 2055051621 4110103242