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422334101000010 = 235431037094483147
BaseRepresentation
bin110000000000111000101001…
…0000100010000111101001010
32001101100202010122112210022010
41200001301102010100331022
5420324010214324000020
64054121335122040350
7154646426506056033
oct14001612204207512
92041322118483263
10422334101000010
11112628982872851
123b44b217aa90b6
1315186c1cab1c64
147641118427a8a
1533c5d2c300de0
hex1801c52110f4a

422334101000010 has 128 divisors (see below), whose sum is σ = 1048720933877760. Its totient is φ = 108781636836096.

The previous prime is 422334100999991. The next prime is 422334101000087. The reversal of 422334101000010 is 10000101433224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91963257 + ... + 96446403.

It is an arithmetic number, because the mean of its divisors is an integer number (8193132295920).

Almost surely, 2422334101000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422334101000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524360466938880).

422334101000010 is an abundant number, since it is smaller than the sum of its proper divisors (626386832877750).

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

422334101000010 is a wasteful number, since it uses less digits than its factorization.

422334101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484012.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 422334101000010 its reverse (10000101433224), we get a palindrome (432334202433234).

The spelling of 422334101000010 in words is "four hundred twenty-two trillion, three hundred thirty-four billion, one hundred one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 43 86 103 129 206 215 258 309 430 515 618 645 709 1030 1290 1418 1545 2127 3090 3545 4254 4429 7090 8858 10635 13287 21270 22145 26574 30487 44290 60974 66435 73027 91461 132870 146054 152435 182922 219081 304870 365135 438162 457305 730270 914610 1095405 2190810 3140161 4483147 6280322 8966294 9420483 13449441 15700805 18840966 22415735 26898882 31401610 44831470 47102415 67247205 94204830 134494410 192775321 385550642 461764141 578325963 923528282 963876605 1156651926 1385292423 1927753210 2308820705 2770584846 2891629815 3178551223 4617641410 5783259630 6357102446 6926462115 9535653669 13852924230 15892756115 19071307338 19855858063 31785512230 39711716126 47678268345 59567574189 95356536690 99279290315 119135148378 136677702589 198558580630 273355405178 297837870945 327390775969 410033107767 595675741890 654781551938 683388512945 820066215534 982172327907 1366777025890 1636953879845 1964344655814 2050165538835 3273907759690 4100331077670 4910861639535 9821723279070 14077803366667 28155606733334 42233410100001 70389016833335 84466820200002 140778033666670 211167050500005 422334101000010