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1121100210 = 233539710459
BaseRepresentation
bin100001011010010…
…1010000110110010
32220010112210101000
41002310222012302
54244000201320
6303125022430
736532123506
oct10264520662
92803483330
101121100210
115259171aa
12273554a16
1314b35ab09
14a8c72306
1568652c90
hex42d2a1b2

1121100210 has 64 divisors (see below), whose sum is σ = 2997417600. Its totient is φ = 298178496.

The previous prime is 1121100193. The next prime is 1121100289. The reversal of 1121100210 is 120011211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1121100192 and 1121100201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101961 + ... + 112419.

It is an arithmetic number, because the mean of its divisors is an integer number (46834650).

Almost surely, 21121100210 is an apocalyptic number.

1121100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498708800).

1121100210 is an abundant number, since it is smaller than the sum of its proper divisors (1876317390).

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

1121100210 is a wasteful number, since it uses less digits than its factorization.

1121100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121100210 is about 33482.8345574266. The cubic root of 1121100210 is about 1038.8387587230.

Adding to 1121100210 its reverse (120011211), we get a palindrome (1241111421).

The spelling of 1121100210 in words is "one billion, one hundred twenty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 397 794 1191 1985 2382 3573 3970 5955 7146 10459 10719 11910 17865 20918 21438 31377 35730 52295 53595 62754 94131 104590 107190 156885 188262 282393 313770 470655 564786 941310 1411965 2823930 4152223 8304446 12456669 20761115 24913338 37370007 41522230 62283345 74740014 112110021 124566690 186850035 224220042 373700070 560550105 1121100210