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1122102000 = 2432531719193
BaseRepresentation
bin100001011100001…
…1110101011110000
32220012102200120100
41002320132223300
54244224231000
6303202312400
736543465255
oct10270365360
92805380510
101122102000
11526440928
12273958700
1314b61baa6
14a905342c
156879ea00
hex42e1eaf0

1122102000 has 480 divisors, whose sum is σ = 4390701120. Its totient is φ = 265420800.

The previous prime is 1122101993. The next prime is 1122102001. The reversal of 1122102000 is 2012211.

It is a super-2 number, since 2×11221020002 = 2518225796808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122102001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5813904 + ... + 5814096.

It is an arithmetic number, because the mean of its divisors is an integer number (9147294).

Almost surely, 21122102000 is an apocalyptic number.

1122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195350560).

1122102000 is an abundant number, since it is smaller than the sum of its proper divisors (3268599120).

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

1122102000 is a wasteful number, since it uses less digits than its factorization.

1122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122102000 is about 33497.7909719432. The cubic root of 1122102000 is about 1039.1480942736.

Adding to 1122102000 its reverse (2012211), we get a palindrome (1124114211).

The spelling of 1122102000 in words is "one billion, one hundred twenty-two million, one hundred two thousand".