Search a number
-
+
2212012012100 = 2252115337941887
BaseRepresentation
bin100000001100000110001…
…100001011001001000100
321211110120220211222022112
4200030012030023021010
5242220200033341400
64412103450120152
7315545501605352
oct40140614131104
97743526758275
102212012012100
11783122128510
122b8852420058
131307903626c7
14790c1dd87d2
153c815c96835
hex2030630b244

2212012012100 has 72 divisors (see below), whose sum is σ = 5335236523008. Its totient is φ = 789191228800.

The previous prime is 2212012012079. The next prime is 2212012012109. The reversal of 2212012012100 is 12102102122.

It is not an unprimeable number, because it can be changed into a prime (2212012012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18912644 + ... + 19029243.

It is an arithmetic number, because the mean of its divisors is an integer number (74100507264).

Almost surely, 22212012012100 is an apocalyptic number.

2212012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212012012100 is an abundant number, since it is smaller than the sum of its proper divisors (3123224510908).

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

2212012012100 is a wasteful number, since it uses less digits than its factorization.

2212012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37941965 (or 37941958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2212012012100 its reverse (12102102122), we get a palindrome (2224114114222).

The spelling of 2212012012100 in words is "two trillion, two hundred twelve billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 37941887 75883774 151767548 189709435 379418870 417360757 758837740 834721514 948547175 1669443028 1897094350 2010920011 2086803785 3794188700 4021840022 4173607570 8043680044 8347215140 10054600055 10434018925 20109200110 20868037850 22120120121 40218400220 41736075700 44240240242 50273000275 88480480484 100546000550 110600600605 201092001100 221201201210 442402402420 553003003025 1106006006050 2212012012100