Search a number
-
+
104422111011024 = 243232931105211619
BaseRepresentation
bin10111101111100010101010…
…110101010110000011010000
3111200201122201110100100011220
4113233202222311112003100
5102141322440404323044
61010030504444405040
730665151153430362
oct2757425265260320
9450648643310156
10104422111011024
11302aa194428a74
12b865855846780
134635c693cc291
141bb00b2b10d32
15c113d33ce019
hex5ef8aad560d0

104422111011024 has 160 divisors (see below), whose sum is σ = 300585389875200. Its totient is φ = 31108971210240.

The previous prime is 104422111011011. The next prime is 104422111011041. The reversal of 104422111011024 is 420110111224401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104422111010985 and 104422111011003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51613314 + ... + 53598305.

It is an arithmetic number, because the mean of its divisors is an integer number (1878658686720).

Almost surely, 2104422111011024 is an apocalyptic number.

It is an amenable number.

104422111011024 is an abundant number, since it is smaller than the sum of its proper divisors (196163278864176).

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

104422111011024 is a wasteful number, since it uses less digits than its factorization.

104422111011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105211713 (or 105211707 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 104422111011024 its reverse (420110111224401), we get a palindrome (524532222235425).

The spelling of 104422111011024 in words is "one hundred four trillion, four hundred twenty-two billion, one hundred eleven million, eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 31 46 48 58 62 69 87 92 93 116 124 138 174 184 186 232 248 276 348 368 372 464 496 552 667 696 713 744 899 1104 1334 1392 1426 1488 1798 2001 2139 2668 2697 2852 3596 4002 4278 5336 5394 5704 7192 8004 8556 10672 10788 11408 14384 16008 17112 20677 21576 32016 34224 41354 43152 62031 82708 124062 165416 248124 330832 496248 992496 105211619 210423238 315634857 420846476 631269714 841692952 1262539428 1683385904 2419867237 2525078856 3051136951 3261560189 4839734474 5050157712 6102273902 6523120378 7259601711 9153410853 9679468948 9784680567 12204547804 13046240756 14519203422 18306821706 19358937896 19569361134 24409095608 26092481512 29038406844 36613643412 38717875792 39138722268 48818191216 52184963024 58076813688 70176149873 73227286824 75015884347 78277444536 94585245481 116153627376 140352299746 146454573648 150031768694 156554889072 189170490962 210528449619 225047653041 280704599492 283755736443 300063537388 378340981924 421056899238 450095306082 561409198984 567511472886 600127074776 756681963848 842113798476 900190612164 1122818397968 1135022945772 1200254149552 1513363927696 1684227596952 1800381224328 2175460646063 2270045891544 3368455193904 3600762448656 4350921292126 4540091783088 6526381938189 8701842584252 13052763876378 17403685168504 26105527752756 34807370337008 52211055505512 104422111011024