Search a number
-
+
2121212112112 = 242814616591553
BaseRepresentation
bin11110110111100010000…
…110000010110011110000
321111210012220211010200201
4132313202012002303300
5234223220300041422
64302245453124544
7306152420313022
oct36674206026360
97453186733621
102121212112112
11748667a34755
122a3131789754
1312504c8c3c32
147494ab9a012
153a29e5b2727
hex1ede2182cf0

2121212112112 has 80 divisors (see below), whose sum is σ = 4142358934560. Its totient is φ = 1052260966400.

The previous prime is 2121212112073. The next prime is 2121212112119. The reversal of 2121212112112 is 2112112121212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2121212112112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121212112119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365879528 + ... + 1365881080.

It is an arithmetic number, because the mean of its divisors is an integer number (51779486682).

Almost surely, 22121212112112 is an apocalyptic number.

It is an amenable number.

2121212112112 is a deficient number, since it is larger than the sum of its proper divisors (2021146822448).

2121212112112 is a wasteful number, since it uses less digits than its factorization.

2121212112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2956 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

Adding to 2121212112112 its reverse (2112112121212), we get a palindrome (4233324233324).

The spelling of 2121212112112 in words is "two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 281 461 562 659 922 1124 1318 1553 1844 2248 2636 3106 3688 4496 5272 6212 7376 10544 12424 24848 129541 185179 259082 303799 370358 436393 518164 607598 715933 740716 872786 1023427 1036328 1215196 1431866 1481432 1745572 2046854 2072656 2430392 2863732 2962864 3491144 4093708 4860784 5727464 6982288 8187416 11454928 16374832 85367519 170735038 201177173 287582987 341470076 402354346 471799847 575165974 682940152 804708692 943599694 1150331948 1365880304 1609417384 1887199388 2300663896 3218834768 3774398776 4601327792 7548797552 132575757007 265151514014 530303028028 1060606056056 2121212112112