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1122003140 = 225322117417
BaseRepresentation
bin100001011100000…
…0110100011000100
32220012020122221212
41002320012203010
54244213100030
6303200230552
736542604116
oct10270064304
92805218855
101122003140
11526383625
1227390b458
1314b5b5aab
14a90293b6
1568780595
hex42e068c4

1122003140 has 24 divisors (see below), whose sum is σ = 2357073432. Its totient is φ = 448636160.

The previous prime is 1122003139. The next prime is 1122003149. The reversal of 1122003140 is 413002211.

1122003140 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 506070016 + 615933124 = 22496^2 + 24818^2 .

It is a super-3 number, since 3×11220031403 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122003149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55712 + ... + 73128.

It is an arithmetic number, because the mean of its divisors is an integer number (98211393).

Almost surely, 21122003140 is an apocalyptic number.

1122003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122003140 is an abundant number, since it is smaller than the sum of its proper divisors (1235070292).

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

1122003140 is a wasteful number, since it uses less digits than its factorization.

1122003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1122003140 is about 33496.3153197482. The cubic root of 1122003140 is about 1039.1175761930.

Adding to 1122003140 its reverse (413002211), we get a palindrome (1535005351).

The spelling of 1122003140 in words is "one billion, one hundred twenty-two million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 3221 6442 12884 16105 17417 32210 34834 64420 69668 87085 174170 348340 56100157 112200314 224400628 280500785 561001570 1122003140