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1131101420 = 225735211487
BaseRepresentation
bin100001101101011…
…0011110011101100
32220211100220110012
41003122303303230
54304030221140
6304123232352
740013126531
oct10332636354
92824326405
101131101420
11530528269
122769786b8
131504500a7
14aa316d88
156947b265
hex436b3cec

1131101420 has 48 divisors (see below), whose sum is σ = 2414095488. Its totient is φ = 445086720.

The previous prime is 1131101353. The next prime is 1131101431. The reversal of 1131101420 is 241011311.

It is a junction number, because it is equal to n+sod(n) for n = 1131101395 and 1131101404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759917 + ... + 761403.

It is an arithmetic number, because the mean of its divisors is an integer number (50293656).

Almost surely, 21131101420 is an apocalyptic number.

1131101420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131101420 is an abundant number, since it is smaller than the sum of its proper divisors (1282994068).

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

1131101420 is a wasteful number, since it uses less digits than its factorization.

1131101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1131101420 is about 33631.8512722687. The cubic root of 1131101420 is about 1041.9187396644.

Adding to 1131101420 its reverse (241011311), we get a palindrome (1372112731).

The spelling of 1131101420 in words is "one billion, one hundred thirty-one million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 521 730 1042 1460 1487 2084 2605 2974 5210 5948 7435 10420 14870 29740 38033 76066 108551 152132 190165 217102 380330 434204 542755 760660 774727 1085510 1549454 2171020 3098908 3873635 7747270 15494540 56555071 113110142 226220284 282775355 565550710 1131101420