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12211131000 = 233534070377
BaseRepresentation
bin10110101111101011…
…10001001001111000
31011112000101201122010
423113311301021320
5200002022143000
65335410525520
7611413621005
oct132765611170
934460351563
1012211131000
1151a6957502
1224495968a0
1311c7b18403
1483ba9a8ac
154b7077d50
hex2d7d71278

12211131000 has 64 divisors (see below), whose sum is σ = 38098738080. Its totient is φ = 3256300800.

The previous prime is 12211130989. The next prime is 12211131001. The reversal of 12211131000 is 13111221.

It is a super-2 number, since 2×122111310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032189 + ... + 2038188.

Almost surely, 212211131000 is an apocalyptic number.

12211131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211131000 is an abundant number, since it is smaller than the sum of its proper divisors (25887607080).

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

12211131000 is a wasteful number, since it uses less digits than its factorization.

12211131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070401 (or 4070387 counting only the distinct ones).

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

Adding to 12211131000 its reverse (13111221), we get a palindrome (12224242221).

The spelling of 12211131000 in words is "twelve billion, two hundred eleven million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4070377 8140754 12211131 16281508 20351885 24422262 32563016 40703770 48844524 61055655 81407540 97689048 101759425 122111310 162815080 203518850 244222620 305278275 407037700 488445240 508797125 610556550 814075400 1017594250 1221113100 1526391375 2035188500 2442226200 3052782750 4070377000 6105565500 12211131000