Search a number
-
+
21411003042 = 232111322073769
BaseRepresentation
bin10011111100001100…
…011111101010100010
32001021011120122112200
4103330030133222202
5322322204044132
613500332034030
71355404344252
oct237414375242
961234518480
1021411003042
119097a53540
124196602916
132032b09690
14107185d962
15854a85d7c
hex4fc31faa2

21411003042 has 96 divisors (see below), whose sum is σ = 54539896320. Its totient is φ = 5984789760.

The previous prime is 21411003041. The next prime is 21411003049. The reversal of 21411003042 is 24030011412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21411003041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5678934 + ... + 5682702.

It is an arithmetic number, because the mean of its divisors is an integer number (568123920).

Almost surely, 221411003042 is an apocalyptic number.

21411003042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21411003042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27269948160).

21411003042 is an abundant number, since it is smaller than the sum of its proper divisors (33128893278).

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

21411003042 is a wasteful number, since it uses less digits than its factorization.

21411003042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21411003042 its reverse (24030011412), we get a palindrome (45441014454).

The spelling of 21411003042 in words is "twenty-one billion, four hundred eleven million, three thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2207 2574 3769 4414 6621 7538 11307 13242 19863 22614 24277 28691 33921 39726 41459 48554 48997 57382 67842 72831 82918 86073 97994 124377 145662 146991 172146 218493 248754 258219 293982 315601 373131 436986 440973 516438 538967 631202 746262 881946 946803 1077934 1616901 1893606 2840409 3233802 4850703 5680818 8318183 9701406 16636366 24954549 49909098 74863647 91500013 108136379 149727294 183000026 216272758 274500039 324409137 549000078 648818274 823500117 973227411 1189500169 1647000234 1946454822 2379000338 3568500507 7137001014 10705501521 21411003042