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11022131000 = 235311022131
BaseRepresentation
bin10100100001111100…
…00101111100111000
31001110011002021021002
422100332011330320
5140033131143000
65021414304132
7540065365466
oct122076057470
931404067232
1011022131000
114746784181
122177358048
1310686a5a0a
14767bd1836
154479b18d5
hex290f85f38

11022131000 has 32 divisors (see below), whose sum is σ = 25791788880. Its totient is φ = 4408852000.

The previous prime is 11022130993. The next prime is 11022131009. The reversal of 11022131000 is 13122011.

11022131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110221310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022131009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5510066 + ... + 5512065.

Almost surely, 211022131000 is an apocalyptic number.

11022131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022131000 is an abundant number, since it is smaller than the sum of its proper divisors (14769657880).

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

11022131000 is a wasteful number, since it uses less digits than its factorization.

11022131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022152 (or 11022138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11022131000 its reverse (13122011), we get a palindrome (11035253011).

The spelling of 11022131000 in words is "eleven billion, twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11022131 22044262 44088524 55110655 88177048 110221310 220442620 275553275 440885240 551106550 1102213100 1377766375 2204426200 2755532750 5511065500 11022131000