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1041322120 = 2351011132281
BaseRepresentation
bin111110000100010…
…101000010001000
32200120102122101221
4332010111002020
54113034301440
6251155051424
734543043356
oct7604250210
92616378357
101041322120
114948877a3
122508a0b74
13137977747
149c4267d6
1561644d4a
hex3e115088

1041322120 has 64 divisors (see below), whose sum is σ = 2388158640. Its totient is φ = 408576000.

The previous prime is 1041322091. The next prime is 1041322157. The reversal of 1041322120 is 212231401.

It can be written as a sum of positive squares in 8 ways, for example, as 465610084 + 575712036 = 21578^2 + 23994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1041322094 and 1041322103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455380 + ... + 457660.

Almost surely, 21041322120 is an apocalyptic number.

1041322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041322120 is an abundant number, since it is smaller than the sum of its proper divisors (1346836520).

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

1041322120 is a wasteful number, since it uses less digits than its factorization.

1041322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

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

The square root of 1041322120 is about 32269.5230829338. The cubic root of 1041322120 is about 1013.5885548080.

Adding to 1041322120 its reverse (212231401), we get a palindrome (1253553521).

The spelling of 1041322120 in words is "one billion, forty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 113 202 226 404 452 505 565 808 904 1010 1130 2020 2260 2281 4040 4520 4562 9124 11405 11413 18248 22810 22826 45620 45652 57065 91240 91304 114130 228260 230381 257753 456520 460762 515506 921524 1031012 1151905 1288765 1843048 2062024 2303810 2577530 4607620 5155060 9215240 10310120 26033053 52066106 104132212 130165265 208264424 260330530 520661060 1041322120