Search a number
-
+
211021020112 = 2474358437499
BaseRepresentation
bin1100010010000111010…
…1010011101111010000
3202011200102021111220111
43010201311103233100
511424132340120422
6240535224451104
721150204034660
oct3044165235720
9664612244814
10211021020112
1181547956791
1234a92619a94
1316b8c6c6356
14a2dbaa41a0
155750cb6a77
hex3121d53bd0

211021020112 has 80 divisors (see below), whose sum is σ = 478272960000. Its totient is φ = 88307485056.

The previous prime is 211021020097. The next prime is 211021020137. The reversal of 211021020112 is 211020120112.

It is a junction number, because it is equal to n+sod(n) for n = 211021020092 and 211021020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28136139 + ... + 28143637.

It is an arithmetic number, because the mean of its divisors is an integer number (5978412000).

Almost surely, 2211021020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239136480000).

211021020112 is an abundant number, since it is smaller than the sum of its proper divisors (267251939888).

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

211021020112 is a wasteful number, since it uses less digits than its factorization.

211021020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211021020112 its reverse (211020120112), we get a palindrome (422041140224).

The spelling of 211021020112 in words is "two hundred eleven billion, twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 5843 7499 11686 14998 23372 29996 40901 46744 52493 59992 81802 93488 104986 119984 163604 209972 251249 322457 327208 419944 502498 644914 654416 839888 1004996 1289828 1758743 2009992 2257199 2579656 3517486 4019984 4514398 5159312 7034972 9028796 14069944 18057592 28139888 36115184 43816657 87633314 175266628 306716599 350533256 613433198 701066512 1226866396 1884116251 2453732792 3768232502 4907465584 7536465004 13188813757 15072930008 26377627514 30145860016 52755255028 105510510056 211021020112