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104402222430 = 2351110313123447
BaseRepresentation
bin110000100111011011…
…0110111110101011110
3100222110222012102010220
41201032312313311132
53202303432104210
6115543421542210
710354120151142
oct1411666676536
9328428172126
10104402222430
1140305372a60
1218298114966
139aca87019c
1450a5997222
152ab0961c70
hex184edb7d5e

104402222430 has 128 divisors (see below), whose sum is σ = 278116540416. Its totient is φ = 24871516800.

The previous prime is 104402222389. The next prime is 104402222453. The reversal of 104402222430 is 34222204401.

It is a self number, because there is not a number n which added to its sum of digits gives 104402222430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4440967 + ... + 4464413.

It is an arithmetic number, because the mean of its divisors is an integer number (2172785472).

Almost surely, 2104402222430 is an apocalyptic number.

104402222430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104402222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139058270208).

104402222430 is an abundant number, since it is smaller than the sum of its proper divisors (173714317986).

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

104402222430 is a wasteful number, since it uses less digits than its factorization.

104402222430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23702.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 104402222430 its reverse (34222204401), we get a palindrome (138624426831).

The spelling of 104402222430 in words is "one hundred four billion, four hundred two million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 131 165 206 262 309 330 393 515 618 655 786 1030 1133 1310 1441 1545 1965 2266 2882 3090 3399 3930 4323 5665 6798 7205 8646 11330 13493 14410 16995 21615 23447 26986 33990 40479 43230 46894 67465 70341 80958 117235 134930 140682 148423 202395 234470 257917 296846 351705 404790 445269 515834 703410 742115 773751 890538 1289585 1484230 1547502 2226345 2415041 2579170 3071557 3868755 4452690 4830082 6143114 7245123 7737510 9214671 12075205 14490246 15357785 18429342 24150410 26565451 30715570 33787127 36225615 46073355 53130902 67574254 72451230 79696353 92146710 101361381 132827255 159392706 168935635 202722762 265654510 316370371 337871270 398481765 506806905 632740742 796963530 949111113 1013613810 1581851855 1898222226 3163703710 3480074081 4745555565 6960148162 9491111130 10440222243 17400370405 20880444486 34800740810 52201111215 104402222430