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4112321004 = 22321125916001
BaseRepresentation
bin1111010100011101…
…0000100111101100
3101121121001112220100
43311013100213230
531410223233004
61520021151100
7203623103031
oct36507204754
911547045810
104112321004
111820330700
1296925b490
13506c8a34c
142b0231388
15191060739
hexf51d09ec

4112321004 has 108 divisors (see below), whose sum is σ = 11620332360. Its totient is φ = 1224960000.

The previous prime is 4112320981. The next prime is 4112321009. The reversal of 4112321004 is 4001232114.

It is a super-2 number, since 2×41123210042 = 33822368079879136032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4112321009) 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 35 ways as a sum of consecutive naturals, for example, 249004 + ... + 265004.

It is an arithmetic number, because the mean of its divisors is an integer number (107595670).

Almost surely, 24112321004 is an apocalyptic number.

4112321004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810166180).

4112321004 is an abundant number, since it is smaller than the sum of its proper divisors (7508011356).

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

4112321004 is a wasteful number, since it uses less digits than its factorization.

4112321004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 16076 counting only the distinct ones).

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

The square root of 4112321004 is about 64127.3810786001. The cubic root of 4112321004 is about 1602.1223143481.

Adding to 4112321004 its reverse (4001232114), we get a palindrome (8113553118).

The spelling of 4112321004 in words is "four billion, one hundred twelve million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 121 132 177 198 236 242 354 363 396 484 531 649 708 726 1062 1089 1298 1452 1947 2124 2178 2596 3894 4356 5841 7139 7788 11682 14278 16001 21417 23364 28556 32002 42834 48003 64004 64251 85668 96006 128502 144009 176011 192012 257004 288018 352022 528033 576036 704044 944059 1056066 1584099 1888118 1936121 2112132 2832177 3168198 3776236 3872242 5664354 5808363 6336396 7744484 8496531 10384649 11328708 11616726 16993062 17425089 20769298 23233452 31153947 33986124 34850178 41538596 62307894 69700356 93461841 114231139 124615788 186923682 228462278 342693417 373847364 456924556 685386834 1028080251 1370773668 2056160502 4112321004