Search a number
-
+
2011001121112 = 234147943313829
BaseRepresentation
bin11101010000111001000…
…000011110100101011000
321010020202010101201002011
4131100321000132211120
5230422012241333422
64135501405115304
7265201324330324
oct35207100364530
97106663351064
102011001121112
11705951784a15
122858b4258b34
131178377920a9
146d493972984
153749dbde077
hex1d43901e958

2011001121112 has 64 divisors (see below), whose sum is σ = 3945479932800. Its totient is φ = 959933122560.

The previous prime is 2011001121109. The next prime is 2011001121121. The reversal of 2011001121112 is 2111211001102.

It is a happy number.

It is a super-2 number, since 2×20110011211122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011001121092 and 2011001121101.

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, 145412214 + ... + 145426042.

It is an arithmetic number, because the mean of its divisors is an integer number (61648123950).

Almost surely, 22011001121112 is an apocalyptic number.

It is an amenable number.

2011001121112 is a deficient number, since it is larger than the sum of its proper divisors (1934478811688).

2011001121112 is a wasteful number, since it uses less digits than its factorization.

2011001121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23356 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011001121112 its reverse (2111211001102), we get a palindrome (4122212122214).

The spelling of 2011001121112 in words is "two trillion, eleven billion, one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 41 47 82 94 164 188 328 376 1927 3854 7708 9433 13829 15416 18866 27658 37732 55316 75464 110632 386753 443351 566989 649963 773506 886702 1133978 1299926 1547012 1773404 2267956 2599852 3094024 3546808 4535912 5199704 18177391 26648483 36354782 53296966 72709564 106593932 130448957 145419128 213187864 260897914 521795828 1043591656 5348407237 6131100979 10696814474 12262201958 21393628948 24524403916 42787257896 49048807832 251375140139 502750280278 1005500560556 2011001121112