Search a number
-
+
2000012010012 = 22323141131333667
BaseRepresentation
bin11101000110101010000…
…000010110001000011100
321002012101021110000121100
4131012222000112020130
5230232011033310022
64130443130233100
7264332106405462
oct35065200261034
97065337400540
102000012010012
11701222704115
12283747b85790
131167a5baaaa3
146cb302d8832
15370590a11ac
hex1d1aa01621c

2000012010012 has 144 divisors (see below), whose sum is σ = 5386778901504. Its totient is φ = 624622752000.

The previous prime is 2000012010011. The next prime is 2000012010023. The reversal of 2000012010012 is 2100102100002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000012009976 and 2000012010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012010011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5827203 + ... + 6160869.

It is an arithmetic number, because the mean of its divisors is an integer number (37408186816).

Almost surely, 22000012010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000012010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693389450752).

2000012010012 is an abundant number, since it is smaller than the sum of its proper divisors (3386766891492).

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

2000012010012 is a wasteful number, since it uses less digits than its factorization.

2000012010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333880 (or 333875 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000012010012 its reverse (2100102100002), we get a palindrome (4100114110014).

The spelling of 2000012010012 in words is "two trillion, twelve million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 131 164 186 246 262 279 369 372 393 492 524 558 738 786 1116 1179 1271 1476 1572 2358 2542 3813 4061 4716 5084 5371 7626 8122 10742 11439 12183 15252 16113 16244 21484 22878 24366 32226 36549 45756 48339 48732 64452 73098 96678 146196 166501 193356 333002 333667 499503 666004 667334 999006 1001001 1334668 1498509 1998012 2002002 2997018 3003003 4004004 5994036 6006006 10343677 12012012 13680347 20687354 27360694 31031031 41041041 41374708 43710377 54721388 62062062 82082082 87420754 93093093 123123123 124124124 131131131 164164164 174841508 186186186 246246246 262262262 372372372 393393393 424090757 492492492 524524524 786786786 848181514 1272272271 1355021687 1573573572 1696363028 1792125457 2544544542 2710043374 3584250914 3816816813 4065065061 5089089084 5376376371 5420086748 7168501828 7633633626 8130130122 10752752742 12195195183 15267267252 16129129113 16260260244 21505505484 24390390366 32258258226 48780780732 55555889167 64516516452 111111778334 166667667501 222223556668 333335335002 500003002503 666670670004 1000006005006 2000012010012