Search a number
-
+
212121012200200 = 23527913425380519
BaseRepresentation
bin110000001110110001000101…
…100101001110001100001000
31000211001120102001111212111121
4300032301011211032030020
5210300342313110401300
62031051014151005024
762452144266135445
oct6016610545161410
91024046361455447
10212121012200200
116165201a449264
121b95a581969774
139148c0578514c
143a549d71509cc
15197cb4ac5681a
hexc0ec4594e308

212121012200200 has 48 divisors (see below), whose sum is σ = 499424155344000. Its totient is φ = 83774374432320.

The previous prime is 212121012200197. The next prime is 212121012200203. The reversal of 212121012200200 is 2002210121212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212121012200197) and next prime (212121012200203).

It is a super-3 number, since 3×2121210122002003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121012200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6712674460 + ... + 6712706059.

It is an arithmetic number, because the mean of its divisors is an integer number (10404669903000).

Almost surely, 2212121012200200 is an apocalyptic number.

212121012200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121012200200 is an abundant number, since it is smaller than the sum of its proper divisors (287303143143800).

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

212121012200200 is a wasteful number, since it uses less digits than its factorization.

212121012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13425380614 (or 13425380605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212121012200200 its reverse (2002210121212), we get a palindrome (214123222321412).

The spelling of 212121012200200 in words is "two hundred twelve trillion, one hundred twenty-one billion, twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 13425380519 26850761038 53701522076 67126902595 107403044152 134253805190 268507610380 335634512975 537015220760 671269025950 1060605061001 1342538051900 2121210122002 2685076103800 4242420244004 5303025305005 8484840488008 10606050610010 21212101220020 26515126525025 42424202440040 53030253050050 106060506100100 212121012200200