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1131120342 = 233112331523
BaseRepresentation
bin100001101101011…
…1000011011010110
32220211101212102000
41003122320123112
54304031322332
6304123500130
740013235642
oct10332703326
92824355360
101131120342
11530540500
12276987646
131504588a1
14aa31dc22
1569481b7c
hex436b86d6

1131120342 has 96 divisors (see below), whose sum is σ = 2776529280. Its totient is φ = 341074800.

The previous prime is 1131120337. The next prime is 1131120409. The reversal of 1131120342 is 2430211311.

1131120342 is a `hidden beast` number, since 11 + 311 + 2 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162493 + ... + 2163015.

It is an arithmetic number, because the mean of its divisors is an integer number (28922180).

Almost surely, 21131120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388264640).

1131120342 is an abundant number, since it is smaller than the sum of its proper divisors (1645408938).

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

1131120342 is a wasteful number, since it uses less digits than its factorization.

1131120342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1131120342 is about 33632.1325818034. The cubic root of 1131120342 is about 1041.9245496581.

Adding to 1131120342 its reverse (2430211311), we get a palindrome (3561331653).

The spelling of 1131120342 in words is "one billion, one hundred thirty-one million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 331 363 523 594 662 726 993 1046 1089 1569 1986 2178 2979 3138 3267 3641 4707 5753 5958 6534 7282 8937 9414 10923 11506 14121 17259 17874 21846 28242 32769 34518 40051 51777 63283 65538 80102 98307 103554 120153 126566 155331 173113 189849 196614 240306 310662 346226 360459 379698 519339 569547 720918 1038678 1081377 1139094 1558017 1708641 1904243 2162754 3116034 3417282 3808486 4674051 5712729 9348102 11425458 17138187 20946673 34276374 41893346 51414561 62840019 102829122 125680038 188520057 377040114 565560171 1131120342