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1122011010 = 232526774657
BaseRepresentation
bin100001011100000…
…1000011110000010
32220012021001202100
41002320020132002
54244213323020
6303200331230
736542636061
oct10270103602
92805231670
101122011010
1152638952a
12273913b16
1314b5b9553
14a902c1d8
1568782a90
hex42e08782

1122011010 has 48 divisors (see below), whose sum is σ = 2918945016. Its totient is φ = 299026944.

The previous prime is 1122010979. The next prime is 1122011029. The reversal of 1122011010 is 101102211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 323892009 + 798119001 = 17997^2 + 28251^2 .

It is a super-2 number, since 2×11220110102 = 2517817413122440200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122010983 and 1122011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238602 + ... + 243258.

Almost surely, 21122011010 is an apocalyptic number.

1122011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122011010 is an abundant number, since it is smaller than the sum of its proper divisors (1796934006).

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

1122011010 is a wasteful number, since it uses less digits than its factorization.

1122011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7344 counting only the distinct ones).

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

The square root of 1122011010 is about 33496.4327951500. The cubic root of 1122011010 is about 1039.1200057276.

Adding to 1122011010 its reverse (101102211), we get a palindrome (1223113221).

The spelling of 1122011010 in words is "one billion, one hundred twenty-two million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2677 4657 5354 8031 9314 13385 13971 16062 23285 24093 26770 27942 40155 41913 46570 48186 69855 80310 83826 120465 139710 209565 240930 419130 12466789 24933578 37400367 62333945 74800734 112201101 124667890 187001835 224402202 374003670 561005505 1122011010