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4331212002 = 2321329787811
BaseRepresentation
bin1000000100010100…
…10000110011100010
3102011211221100220100
410002022100303202
532332242241002
61553440523230
7212221460145
oct40212206342
912154840810
104331212002
111922946757
12a0a620516
1354042a050
142d133005c
151a539c11c
hex102290ce2

4331212002 has 96 divisors (see below), whose sum is σ = 10480841280. Its totient is φ = 1283506560.

The previous prime is 4331211979. The next prime is 4331212003. The reversal of 4331212002 is 2002121334.

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 (4331212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5340177 + ... + 5340987.

It is an arithmetic number, because the mean of its divisors is an integer number (109175430).

Almost surely, 24331212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240420640).

4331212002 is an abundant number, since it is smaller than the sum of its proper divisors (6149629278).

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

4331212002 is a wasteful number, since it uses less digits than its factorization.

4331212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4331212002 is about 65811.9442198755. The cubic root of 4331212002 is about 1630.0583368284.

Adding to 4331212002 its reverse (2002121334), we get a palindrome (6333333336).

The spelling of 4331212002 in words is "four billion, three hundred thirty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 787 811 1131 1574 1622 2262 2361 2433 3393 4722 4866 6786 7083 7299 10231 10543 14166 14598 20462 21086 22823 23519 30693 31629 45646 47038 61386 63258 68469 70557 92079 94887 136938 141114 184158 189774 205407 211671 296699 305747 410814 423342 593398 611494 638257 890097 917241 1276514 1780194 1834482 1914771 2670291 2751723 3829542 5340582 5503446 5744313 8297341 11488626 16594682 18509453 24892023 37018906 49784046 55528359 74676069 111056718 149352138 166585077 240622889 333170154 481245778 721868667 1443737334 2165606001 4331212002