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43121000 = 23531331107
BaseRepresentation
bin1010010001111…
…1100101101000
310000010202220002
42210133211220
542014333000
64140122132
71032344126
oct244374550
9100122802
1043121000
112238249a
1212536348
138c1a2b0
145a26916
153bbb8d5
hex291f968

43121000 has 128 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 15264000.

The previous prime is 43120981. The next prime is 43121009. The reversal of 43121000 is 12134.

It is a happy number.

43121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (43121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402947 + ... + 403053.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 243121000 is an apocalyptic number.

43121000 is a gapful number since it is divisible by the number (40) 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 43121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

43121000 is an abundant number, since it is smaller than the sum of its proper divisors (70097560).

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

43121000 is a wasteful number, since it uses less digits than its factorization.

43121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 43121000 is about 6566.6582064243. The cubic root of 43121000 is about 350.6681115919.

Adding to 43121000 its reverse (12134), we get a palindrome (43133134).

The spelling of 43121000 in words is "forty-three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 107 124 125 130 155 200 214 248 250 260 310 325 403 428 500 520 535 620 650 775 806 856 1000 1070 1240 1300 1391 1550 1612 1625 2015 2140 2600 2675 2782 3100 3224 3250 3317 3875 4030 4280 5350 5564 6200 6500 6634 6955 7750 8060 10075 10700 11128 13000 13268 13375 13910 15500 16120 16585 20150 21400 26536 26750 27820 31000 33170 34775 40300 43121 50375 53500 55640 66340 69550 80600 82925 86242 100750 107000 132680 139100 165850 172484 173875 201500 215605 278200 331700 344968 347750 403000 414625 431210 663400 695500 829250 862420 1078025 1391000 1658500 1724840 2156050 3317000 4312100 5390125 8624200 10780250 21560500 43121000