Search a number
-
+
212201100200120 = 23516973126121099
BaseRepresentation
bin110000001111111011101011…
…001100101100100010111000
31000211100020010112012210200212
4300033323223030230202320
5210303200323122400440
62031151501210450252
762461011036662543
oct6017735314544270
91024306115183625
10212201100200120
1161682a87a9aa49
121b971bb3133988
139153629bbb705
143a5883387585a
15197ec86d09465
hexc0feeb32c8b8

212201100200120 has 32 divisors (see below), whose sum is σ = 477733826502000. Its totient is φ = 84830422115328.

The previous prime is 212201100200113. The next prime is 212201100200123. The reversal of 212201100200120 is 21002001102212.

It is a super-2 number, since 2×2122011002001202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212201100200095 and 212201100200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201100200123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562992670 + ... + 1563128429.

Almost surely, 2212201100200120 is an apocalyptic number.

212201100200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201100200120 is an abundant number, since it is smaller than the sum of its proper divisors (265532726301880).

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

212201100200120 is a wasteful number, since it uses less digits than its factorization.

212201100200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126122807 (or 3126122803 counting only the distinct ones).

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

Adding to 212201100200120 its reverse (21002001102212), we get a palindrome (233203101302332).

The spelling of 212201100200120 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1697 3394 6788 8485 13576 16970 33940 67880 3126121099 6252242198 12504484396 15630605495 25008968792 31261210990 62522421980 125044843960 5305027505003 10610055010006 21220110020012 26525137525015 42440220040024 53050275050030 106100550100060 212201100200120