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2041321120 = 25541311177
BaseRepresentation
bin111100110101100…
…0001011010100000
312021021002212010221
41321223001122200
513140034233440
6534320332424
7101404641346
oct17153013240
95237085127
102041321120
119582aa853
1248b774114
13266bb4327
14155173996
15be325d4a
hex79ac16a0

2041321120 has 48 divisors (see below), whose sum is σ = 4940261928. Its totient is φ = 796610560.

The previous prime is 2041321097. The next prime is 2041321123. The reversal of 2041321120 is 211231402.

It can be written as a sum of positive squares in 4 ways, for example, as 1391886864 + 649434256 = 37308^2 + 25484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2041321094 and 2041321103.

It is not an unprimeable number, because it can be changed into a prime (2041321123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149029 + ... + 162148.

Almost surely, 22041321120 is an apocalyptic number.

2041321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041321120 is an abundant number, since it is smaller than the sum of its proper divisors (2898940808).

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

2041321120 is a wasteful number, since it uses less digits than its factorization.

2041321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311233 (or 311225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2041321120 is about 45180.9818397077. The cubic root of 2041321120 is about 1268.5388614819.

Adding to 2041321120 its reverse (211231402), we get a palindrome (2252552522).

The spelling of 2041321120 in words is "two billion, forty-one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 311177 622354 1244708 1555885 2489416 3111770 4978832 6223540 9957664 12447080 12758257 24894160 25516514 49788320 51033028 63791285 102066056 127582570 204132112 255165140 408264224 510330280 1020660560 2041321120