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1321120040 = 235411276343
BaseRepresentation
bin100111010111110…
…1011000100101000
310102001220211222212
41032233223010220
510201201320130
6335032104252
744511222632
oct11657530450
93361824885
101321120040
11618813049
1230a535088
13180921146
14c765ba52
157aeb2e95
hex4ebeb128

1321120040 has 64 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 511418880.

The previous prime is 1321120013. The next prime is 1321120043. The reversal of 1321120040 is 400211231.

It is a junction number, because it is equal to n+sod(n) for n = 1321119997 and 1321120024.

It is not an unprimeable number, because it can be changed into a prime (1321120043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205109 + ... + 211451.

It is an arithmetic number, because the mean of its divisors is an integer number (47960640).

Almost surely, 21321120040 is an apocalyptic number.

1321120040 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 1321120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

1321120040 is an abundant number, since it is smaller than the sum of its proper divisors (1748360920).

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

1321120040 is a wasteful number, since it uses less digits than its factorization.

1321120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1321120040 is about 36347.2150239877. The cubic root of 1321120040 is about 1097.2714855378.

Adding to 1321120040 its reverse (400211231), we get a palindrome (1721331271).

The spelling of 1321120040 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 508 635 820 1016 1270 1640 2540 5080 5207 6343 10414 12686 20828 25372 26035 31715 41656 50744 52070 63430 104140 126860 208280 253720 260063 520126 805561 1040252 1300315 1611122 2080504 2600630 3222244 4027805 5201260 6444488 8055610 10402520 16111220 32222440 33028001 66056002 132112004 165140005 264224008 330280010 660560020 1321120040