Search a number
-
+
30110004444222 = 23329147126214987
BaseRepresentation
bin1101101100010100010000…
…00111100111110000111110
310221121111011222110112012000
412312022020013213300332
512421310242114203342
6144012202312123130
76225242656626453
oct666121007476076
9127544158415160
1030110004444222
1196596435a717a
12346362b6964a6
1313a5490833c71
14761490da982a
1537336c49d44c
hex1b62881e7c3e

30110004444222 has 128 divisors (see below), whose sum is σ = 69305777971200. Its totient is φ = 9678352521600.

The previous prime is 30110004444217. The next prime is 30110004444281. The reversal of 30110004444222 is 22244440001103.

It is a super-2 number, since 2×301100044442222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6037696413 + ... + 6037701399.

It is an arithmetic number, because the mean of its divisors is an integer number (541451390400).

Almost surely, 230110004444222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30110004444222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34652888985600).

30110004444222 is an abundant number, since it is smaller than the sum of its proper divisors (39195773526978).

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

30110004444222 is a wasteful number, since it uses less digits than its factorization.

30110004444222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30110004444222 its reverse (22244440001103), we get a palindrome (52354444445325).

The spelling of 30110004444222 in words is "thirty trillion, one hundred ten billion, four million, four hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1471 1566 2621 2942 4413 4987 5242 7863 8826 9974 13239 14961 15726 23589 26478 29922 39717 42659 44883 47178 70767 76009 79434 85318 89766 127977 134649 141534 144623 152018 228027 255954 269298 289246 383931 433869 456054 684081 767862 867738 1151793 1301607 1368162 2052243 2303586 2603214 3855491 3904821 4104486 7335877 7710982 7809642 11566473 13070927 14671754 22007631 23132946 26141854 34699419 39212781 44015262 66022893 69398838 78425562 104098257 111809239 117638343 132045786 198068679 208196514 212740433 223618478 235276686 335427717 352915029 379056883 396137358 425480866 638221299 670855434 705830058 758113766 1006283151 1137170649 1276442598 1914663897 2012566302 2274341298 3018849453 3411511947 3829327794 5743991691 6037698906 6823023894 10234535841 11487983382 19227333617 20469071682 38454667234 57682000851 115364001702 173046002553 346092005106 519138007659 557592674893 1038276015318 1115185349786 1672778024679 3345556049358 5018334074037 10036668148074 15055002222111 30110004444222