Search a number
-
+
2121021111121 = 11171910114993943
BaseRepresentation
bin11110110111010110101…
…101011011101101010001
321111202201121102021120221
4132313112231123231101
5234222322401023441
64302214511233041
7306144610655563
oct36672655335521
97452647367527
102121021111121
1174857a1388a0
122a3099818781
1312501c16a9b3
147492d67b333
153a28c9348d1
hex1edd6b5bb51

2121021111121 has 64 divisors (see below), whose sum is σ = 2606826240000. Its totient is φ = 1700673408000.

The previous prime is 2121021111047. The next prime is 2121021111151. The reversal of 2121021111121 is 1211111201212.

It is a cyclic number.

It is not a de Polignac number, because 2121021111121 - 29 = 2121021110609 is a prime.

It is a super-2 number, since 2×21210211111212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121021111095 and 2121021111104.

It is not an unprimeable number, because it can be changed into a prime (2121021111151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537918676 + ... + 537922618.

It is an arithmetic number, because the mean of its divisors is an integer number (40731660000).

Almost surely, 22121021111121 is an apocalyptic number.

It is an amenable number.

2121021111121 is a deficient number, since it is larger than the sum of its proper divisors (485805128879).

2121021111121 is a wasteful number, since it uses less digits than its factorization.

2121021111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590.

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

Adding to 2121021111121 its reverse (1211111201212), we get a palindrome (3332132312333).

Subtracting from 2121021111121 its reverse (1211111201212), we obtain a palindrome (909909909909).

The spelling of 2121021111121 in words is "two trillion, one hundred twenty-one billion, twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 17 19 101 187 209 323 1111 1499 1717 1919 3553 3943 16489 18887 21109 25483 28481 32623 43373 67031 74917 151399 280313 313291 358853 398243 484177 737341 824087 1273589 1665389 2573783 2876581 4380673 5325947 5910557 6770131 7566617 14009479 28311613 31642391 48901877 65016127 74471441 83232787 100479469 112300583 128632489 537920647 596966257 1105274159 1235306413 1414957379 1909109911 6566628827 10148426369 11342358883 21000209021 111632690059 124765947713 192820101011 2121021111121