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1121442140 = 2257131095653
BaseRepresentation
bin100001011010111…
…1101100101011100
32220011012011102002
41002311331211130
54244042122030
6303140221432
736535046420
oct10265754534
92804164362
101121442140
11526030095
1227369a878
1314b44a640
14a8d20b80
15686be245
hex42d7d95c

1121442140 has 96 divisors (see below), whose sum is σ = 2925605760. Its totient is φ = 351599616.

The previous prime is 1121442103. The next prime is 1121442163. The reversal of 1121442140 is 412441211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 195554 + ... + 201206.

It is an arithmetic number, because the mean of its divisors is an integer number (30475060).

Almost surely, 21121442140 is an apocalyptic number.

1121442140 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 1121442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462802880).

1121442140 is an abundant number, since it is smaller than the sum of its proper divisors (1804163620).

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

1121442140 is a wasteful number, since it uses less digits than its factorization.

1121442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1121442140 is about 33487.9402173379. The cubic root of 1121442140 is about 1038.9443615428.

Adding to 1121442140 its reverse (412441211), we get a palindrome (1533883351).

The spelling of 1121442140 in words is "one billion, one hundred twenty-one million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 109 130 140 182 218 260 364 436 455 545 763 910 1090 1417 1526 1820 2180 2834 3052 3815 5653 5668 7085 7630 9919 11306 14170 15260 19838 22612 28265 28340 39571 39676 49595 56530 73489 79142 99190 113060 146978 158284 197855 198380 293956 367445 395710 514423 616177 734890 791420 1028846 1232354 1469780 2057692 2464708 2572115 3080885 4313239 5144230 6161770 8010301 8626478 10288460 12323540 16020602 17252956 21566195 32041204 40051505 43132390 56072107 80103010 86264780 112144214 160206020 224288428 280360535 560721070 1121442140