Search a number
-
+
11132031020020 = 2251102815047121
BaseRepresentation
bin1010000111111110000011…
…0000010010101111110100
31110102012201101022102121221
42201333200300102233310
52424341344420120040
635401552350320124
72226156051300001
oct241774060225764
943365641272557
1011132031020020
113602082332489
1212b95667b9044
13629991014281
142a6b166928a8
151448829ab74a
hexa1fe0c12bf4

11132031020020 has 24 divisors (see below), whose sum is σ = 23377481752968. Its totient is φ = 4452771148800.

The previous prime is 11132031019973. The next prime is 11132031020051. The reversal of 11132031020020 is 2002013023111.

11132031020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 492751204 + 11131538268816 = 22198^2 + 3336396^2 .

It is a super-3 number, since 3×111320310200203 (a number of 40 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 = 11132031019976 and 11132031020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317941 + ... + 4729180.

It is an arithmetic number, because the mean of its divisors is an integer number (974061739707).

Almost surely, 211132031020020 is an apocalyptic number.

11132031020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132031020020 is an abundant number, since it is smaller than the sum of its proper divisors (12245450732948).

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

11132031020020 is a wasteful number, since it uses less digits than its factorization.

11132031020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157411 (or 5157409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11132031020020 its reverse (2002013023111), we get a palindrome (13134044043131).

The spelling of 11132031020020 in words is "eleven trillion, one hundred thirty-two billion, thirty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 110281 220562 441124 551405 1102810 2205620 5047121 10094242 20188484 25235605 50471210 100942420 556601551001 1113203102002 2226406204004 2783007755005 5566015510010 11132031020020