Search a number
-
+
2121210011112 = 2334717310869973
BaseRepresentation
bin11110110111100001111…
…110000001110111101000
321111210012202212101122220
4132313201332001313220
5234223214230323422
64302245340114040
7306152363412453
oct36674176016750
97453182771586
102121210011112
1174866682a195
122a3130b35920
1312504c33983a
147494a7b049a
153a29e2e9e5c
hex1ede1f81de8

2121210011112 has 64 divisors (see below), whose sum is σ = 5447161370880. Its totient is φ = 688025747712.

The previous prime is 2121210011093. The next prime is 2121210011119. The reversal of 2121210011112 is 2111100121212.

It is a happy number.

It is a super-3 number, since 3×21212100111123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121210011091 and 2121210011100.

It is not an unprimeable number, because it can be changed into a prime (2121210011119) 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, 5239843 + ... + 5630130.

It is an arithmetic number, because the mean of its divisors is an integer number (85111896420).

Almost surely, 22121210011112 is an apocalyptic number.

It is an amenable number.

2121210011112 is an abundant number, since it is smaller than the sum of its proper divisors (3325951359768).

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

2121210011112 is a wasteful number, since it uses less digits than its factorization.

2121210011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870202 (or 10870198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121210011112 its reverse (2111100121212), we get a palindrome (4232310132324).

The spelling of 2121210011112 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 173 188 282 346 376 519 564 692 1038 1128 1384 2076 4152 8131 16262 24393 32524 48786 65048 97572 195144 10869973 21739946 32609919 43479892 65219838 86959784 130439676 260879352 510888731 1021777462 1532666193 1880505329 2043554924 3065332386 3761010658 4087109848 5641515987 6130664772 7522021316 11283031974 12261329544 15044042632 22566063948 45132127896 88383750463 176767500926 265151251389 353535001852 530302502778 707070003704 1060605005556 2121210011112