Search a number
-
+
12111010000100 = 225211101359303649
BaseRepresentation
bin1011000000111101000001…
…1100101110110011100100
31120212210122002222101211122
42300033100130232303210
53041411322030000400
641431415435353112
72356664055313454
oct260172034566344
946783562871748
1012111010000100
11394a283458a40
1214372408b2798
1369b0a921858b
142dc266d93d64
1516007da22685
hexb03d072ece4

12111010000100 has 144 divisors (see below), whose sum is σ = 29034672912000. Its totient is φ = 4348239360000.

The previous prime is 12111010000091. The next prime is 12111010000153. The reversal of 12111010000100 is 100001011121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39733076 + ... + 40036724.

It is an arithmetic number, because the mean of its divisors is an integer number (201629673000).

Almost surely, 212111010000100 is an apocalyptic number.

12111010000100 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 12111010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517336456000).

12111010000100 is an abundant number, since it is smaller than the sum of its proper divisors (16923662911900).

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

12111010000100 is a wasteful number, since it uses less digits than its factorization.

12111010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304134 (or 304127 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12111010000100 its reverse (100001011121), we get a palindrome (12211011011221).

The spelling of 12111010000100 in words is "twelve trillion, one hundred eleven billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 359 404 505 550 718 1010 1100 1111 1436 1795 2020 2222 2525 3590 3949 4444 5050 5555 7180 7898 8975 10100 11110 15796 17950 19745 22220 27775 35900 36259 39490 55550 72518 78980 98725 111100 145036 181295 197450 303649 362590 394900 398849 607298 725180 797698 906475 1214596 1518245 1595396 1812950 1994245 3036490 3340139 3625900 3988490 6072980 6680278 7591225 7976980 9971225 13360556 15182450 16700695 19942450 30364900 30668549 33401390 39884900 61337098 66802780 83503475 109009991 122674196 153342745 167006950 218019982 306685490 334013900 337354039 436039964 545049955 613370980 674708078 766713725 1090099910 1199109901 1349416156 1533427450 1686770195 2180199820 2398219802 2725249775 3066854900 3373540390 4796439604 5450499550 5995549505 6747080780 8433850975 10900999100 11010009091 11991099010 16867701950 22020018182 23982198020 29977747525 33735403900 44040036364 55050045455 59955495050 110100090910 119910990100 121110100001 220200181820 242220200002 275250227275 484440400004 550500454550 605550500005 1101000909100 1211101000010 2422202000020 3027752500025 6055505000050 12111010000100