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1000510344420 = 2235192039430427
BaseRepresentation
bin11101000111100110001…
…00000100110011100100
310112122111021201121102020
432203303010010303210
5112343021122010140
62043343400543140
7132166402415436
oct16436304046344
93478437647366
101000510344420
11356350008244
12141aa4a81ab0
1373469c331a2
14365d4132656
151b05b4746d0
hexe8f3104ce4

1000510344420 has 96 divisors (see below), whose sum is σ = 2950325683200. Its totient is φ = 252635958144.

The previous prime is 1000510344391. The next prime is 1000510344437. The reversal of 1000510344420 is 244430150001.

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, 2109247 + ... + 2539673.

It is an arithmetic number, because the mean of its divisors is an integer number (30732559200).

Almost surely, 21000510344420 is an apocalyptic number.

1000510344420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000510344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475162841600).

1000510344420 is an abundant number, since it is smaller than the sum of its proper divisors (1949815338780).

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

1000510344420 is a wasteful number, since it uses less digits than its factorization.

1000510344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432497 (or 432495 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1000510344420 its reverse (244430150001), we get a palindrome (1244940494421).

The spelling of 1000510344420 in words is "one trillion, five hundred ten million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2039 4078 6117 8156 10195 12234 20390 24468 30585 38741 40780 61170 77482 116223 122340 154964 193705 232446 387410 430427 464892 581115 774820 860854 1162230 1291281 1721708 2152135 2324460 2582562 4304270 5165124 6456405 8178113 8608540 12912810 16356226 24534339 25825620 32712452 40890565 49068678 81781130 98137356 122671695 163562260 245343390 490686780 877640653 1755281306 2632921959 3510562612 4388203265 5265843918 8776406530 10531687836 13164609795 16675172407 17552813060 26329219590 33350344814 50025517221 52658439180 66700689628 83375862035 100051034442 166751724070 200102068884 250127586105 333503448140 500255172210 1000510344420