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4212002124 = 22321122214789
BaseRepresentation
bin1111101100001110…
…0000110101001100
3101212112121212200200
43323003200311030
532111233031444
61533541453500
7206243266401
oct37303406514
911775555620
104212002124
1118716245a0
12996711290
1352181b965
142bd57c2a8
15199ba0969
hexfb0e0d4c

4212002124 has 72 divisors (see below), whose sum is σ = 11622570960. Its totient is φ = 1275523200.

The previous prime is 4212002087. The next prime is 4212002129.

4212002124 is a `hidden beast` number, since 421 + 200 + 21 + 24 = 666.

4212002124 is nontrivially palindromic in base 10.

4212002124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42120021242 = 35481923785161022752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4212002097 and 4212002106.

It is not an unprimeable number, because it can be changed into a prime (4212002129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877122 + ... + 881910.

Almost surely, 24212002124 is an apocalyptic number.

4212002124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4212002124 is an abundant number, since it is smaller than the sum of its proper divisors (7410568836).

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

4212002124 is a wasteful number, since it uses less digits than its factorization.

4212002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4212002124 is about 64899.9393220055. The cubic root of 4212002124 is about 1614.9640550873.

It can be divided in two parts, 421200 and 2124, that added together give a palindrome (423324).

The spelling of 4212002124 in words is "four billion, two hundred twelve million, two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2221 4442 4789 6663 8884 9578 13326 14367 19156 19989 24431 26652 28734 39978 43101 48862 52679 57468 73293 79956 86202 97724 105358 146586 158037 172404 210716 219879 293172 316074 439758 474111 632148 879516 948222 1896444 10636369 21272738 31909107 42545476 63818214 95727321 117000059 127636428 191454642 234000118 351000177 382909284 468000236 702000354 1053000531 1404000708 2106001062 4212002124