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4331052012 = 2237193463577
BaseRepresentation
bin1000000100010011…
…01001101111101100
3102011211122020102210
410002021221233230
532332222131022
61553433250420
7212220222540
oct40211515754
912154566383
104331052012
111922847531
12a0a563a10
135403a2291
142d12cba20
151a5369a0c
hex102269bec

4331052012 has 96 divisors (see below), whose sum is σ = 11654551552. Its totient is φ = 1226244096.

The previous prime is 4331051969. The next prime is 4331052017. The reversal of 4331052012 is 2102501334.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4331052012.

It is not an unprimeable number, because it can be changed into a prime (4331052017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7505868 + ... + 7506444.

Almost surely, 24331052012 is an apocalyptic number.

4331052012 is a gapful number since it is divisible by the number (42) 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 4331052012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827275776).

4331052012 is an abundant number, since it is smaller than the sum of its proper divisors (7323499540).

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

4331052012 is a wasteful number, since it uses less digits than its factorization.

4331052012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4331052012 is about 65810.7286998100. The cubic root of 4331052012 is about 1630.0382657533.

Adding to 4331052012 its reverse (2102501334), we get a palindrome (6433553346).

The spelling of 4331052012 in words is "four billion, three hundred thirty-one million, fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 463 577 579 772 926 1154 1158 1351 1389 1731 1852 2308 2316 2702 2778 3241 3462 4039 4053 5404 5556 6482 6924 8078 8106 9723 12117 12964 16156 16212 19446 24234 38892 48468 89359 111361 178718 222722 267151 268077 334083 357436 445444 534302 536154 625513 668166 779527 801453 1068604 1072308 1251026 1336332 1559054 1602906 1870057 1876539 2338581 2502052 3118108 3205812 3740114 3753078 4677162 5610171 7480228 7506156 9354324 11220342 22440684 51560143 103120286 154680429 206240572 309360858 360921001 618721716 721842002 1082763003 1443684004 2165526006 4331052012