Search a number
-
+
11011211002012 = 22131797128413619
BaseRepresentation
bin1010000000111011111101…
…0100100000000010011100
31102222122212020010120220011
42200032333110200002130
52420401430004031022
635230251442133004
72214351034135354
oct240167724400234
942878766116804
1011011211002012
113565912604731
12129a068351164
1361b477c88660
142a0d3448db64
15141660a27977
hexa03bf52009c

11011211002012 has 48 divisors (see below), whose sum is σ = 22199119316640. Its totient is φ = 4733839613952.

The previous prime is 11011211001949. The next prime is 11011211002019. The reversal of 11011211002012 is 21020011211011.

It is a happy number.

It is a super-2 number, since 2×110112110020122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11011211001983 and 11011211002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011211002019) 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, 64121062 + ... + 64292557.

It is an arithmetic number, because the mean of its divisors is an integer number (462481652430).

Almost surely, 211011211002012 is an apocalyptic number.

It is an amenable number.

11011211002012 is an abundant number, since it is smaller than the sum of its proper divisors (11187908314628).

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

11011211002012 is a wasteful number, since it uses less digits than its factorization.

11011211002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128413750 (or 128413748 counting only the distinct ones).

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

Adding to 11011211002012 its reverse (21020011211011), we get a palindrome (32031222213023).

The spelling of 11011211002012 in words is "eleven trillion, eleven billion, two hundred eleven million, two thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 97 194 221 388 442 884 1261 1649 2522 3298 5044 6596 21437 42874 85748 128413619 256827238 513654476 1669377047 2183031523 3338754094 4366063046 6677508188 8732126092 12456121043 24912242086 28379409799 49824484172 56758819598 113517639196 161929573559 211754057731 323859147118 423508115462 647718294236 847016230924 2752802750503 5505605501006 11011211002012