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1121031132 = 2231323397787
BaseRepresentation
bin100001011010001…
…1001001111011100
32220010102021121120
41002310121033130
54243440444012
6303123330540
736531415224
oct10264311734
92803367546
101121031132
1152587a311
12273520a50
1314b335540
14a8c55084
156863c58c
hex42d193dc

1121031132 has 96 divisors (see below), whose sum is σ = 2950574592. Its totient is φ = 328686336.

The previous prime is 1121031127. The next prime is 1121031209. The reversal of 1121031132 is 2311301211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424043 + ... + 1424829.

It is an arithmetic number, because the mean of its divisors is an integer number (30735152).

Almost surely, 21121031132 is an apocalyptic number.

1121031132 is a gapful number since it is divisible by the number (12) 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 1121031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475287296).

1121031132 is an abundant number, since it is smaller than the sum of its proper divisors (1829543460).

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

1121031132 is a wasteful number, since it uses less digits than its factorization.

1121031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1121031132 is about 33481.8029980466. The cubic root of 1121031132 is about 1038.8174218323.

Adding to 1121031132 its reverse (2311301211), we get a palindrome (3432332343).

The spelling of 1121031132 in words is "one billion, one hundred twenty-one million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 397 598 787 794 897 1191 1196 1574 1588 1794 2361 2382 3148 3588 4722 4764 5161 9131 9444 10231 10322 15483 18101 18262 20462 20644 27393 30693 30966 36202 36524 40924 54303 54786 61386 61932 72404 108606 109572 118703 122772 217212 235313 237406 312439 356109 470626 474812 624878 705939 712218 937317 941252 1249756 1411878 1424436 1874634 2823756 3749268 4061707 7186097 8123414 12185121 14372194 16246828 21558291 24370242 28744388 43116582 48740484 86233164 93419261 186838522 280257783 373677044 560515566 1121031132