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1131121020 = 223543438419
BaseRepresentation
bin100001101101011…
…1000100101111100
32220211101220100010
41003122320211330
54304031333040
6304123503220
740013240631
oct10332704574
92824356303
101131121020
11530540a67
12276987b10
13150458ca3
14aa320188
1569481e80
hex436b897c

1131121020 has 48 divisors (see below), whose sum is σ = 3240800640. Its totient is φ = 294616896.

The previous prime is 1131121009. The next prime is 1131121039. The reversal of 1131121020 is 201211311.

1131121020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131120987 and 1131121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216630 + ... + 221789.

It is an arithmetic number, because the mean of its divisors is an integer number (67516680).

Almost surely, 21131121020 is an apocalyptic number.

1131121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131121020 is an abundant number, since it is smaller than the sum of its proper divisors (2109679620).

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

1131121020 is a wasteful number, since it uses less digits than its factorization.

1131121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438474 (or 438472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131121020 is about 33632.1426614481. The cubic root of 1131121020 is about 1041.9247578366.

Adding to 1131121020 its reverse (201211311), we get a palindrome (1332332331).

The spelling of 1131121020 in words is "one billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 438419 876838 1315257 1753676 2192095 2630514 4384190 5261028 6576285 8768380 13152570 18852017 26305140 37704034 56556051 75408068 94260085 113112102 188520170 226224204 282780255 377040340 565560510 1131121020