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43422421100 = 22524779831409
BaseRepresentation
bin101000011100001011…
…011001000001101100
311011002011221112122112
4220130023121001230
51202412114433400
631540433103152
73065022326612
oct503413310154
9134064845575
1043422421100
1117462908733
1284ba0b7ab8
1341301287c6
14215cd336b2
1511e21bc835
hexa1c2d906c

43422421100 has 144 divisors (see below), whose sum is σ = 98693683200. Its totient is φ = 16570245120.

The previous prime is 43422421093. The next prime is 43422421117. The reversal of 43422421100 is 112422434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30817196 + ... + 30818604.

It is an arithmetic number, because the mean of its divisors is an integer number (685372800).

Almost surely, 243422421100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43422421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49346841600).

43422421100 is an abundant number, since it is smaller than the sum of its proper divisors (55271262100).

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

43422421100 is a wasteful number, since it uses less digits than its factorization.

43422421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 43422421100 its reverse (112422434), we get a palindrome (43534843534).

The spelling of 43422421100 in words is "forty-three billion, four hundred twenty-two million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 79 83 94 100 158 166 188 235 316 332 395 415 470 790 830 940 1175 1409 1580 1660 1975 2075 2350 2818 3713 3901 3950 4150 4700 5636 6557 7045 7426 7802 7900 8300 13114 14090 14852 15604 18565 19505 26228 28180 32785 35225 37130 39010 65570 66223 70450 74260 78020 92825 97525 111311 116947 131140 132446 140900 163925 185650 195050 222622 233894 264892 308179 327850 331115 371300 390100 445244 467788 556555 584735 616358 655700 662230 1113110 1169470 1232716 1324460 1540895 1655575 2226220 2338940 2782775 2923675 3081790 3311150 5231617 5496509 5565550 5847350 6163580 6622300 7704475 9238813 10463234 10993018 11131100 11694700 15408950 18477626 20926468 21986036 26158085 27482545 30817900 36955252 46194065 52316170 54965090 92388130 104632340 109930180 130790425 137412725 184776260 230970325 261580850 274825450 434224211 461940650 523161700 549650900 868448422 923881300 1736896844 2171121055 4342242110 8684484220 10855605275 21711210550 43422421100