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1042122312 = 2332711187973
BaseRepresentation
bin111110000111011…
…000011001001000
32200121221022001200
4332013120121020
54113240403222
6251224144200
734552615320
oct7607303110
92617838050
101042122312
11495283a10
12251008060
13137b97a2a
149c594280
1561751eac
hex3e1d8648

1042122312 has 96 divisors (see below), whose sum is σ = 3518873280. Its totient is φ = 270679680.

The previous prime is 1042122307. The next prime is 1042122331. The reversal of 1042122312 is 2132212401.

It is a happy number.

1042122312 is a `hidden beast` number, since 10 + 421 + 2 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88443 + ... + 99530.

It is an arithmetic number, because the mean of its divisors is an integer number (36654930).

Almost surely, 21042122312 is an apocalyptic number.

1042122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042122312 is an abundant number, since it is smaller than the sum of its proper divisors (2476750968).

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

1042122312 is a wasteful number, since it uses less digits than its factorization.

1042122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188003 (or 187996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042122312 is about 32281.9192737978. The cubic root of 1042122312 is about 1013.8481151543.

Adding to 1042122312 its reverse (2132212401), we get a palindrome (3174334713).

The spelling of 1042122312 in words is "one billion, forty-two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 187973 375946 563919 751892 1127838 1315811 1503784 1691757 2067703 2255676 2631622 3383514 3947433 4135406 4511352 5263244 6203109 6767028 7894866 8270812 10526488 11842299 12406218 13534056 14473921 15789732 16541624 18609327 23684598 24812436 28947842 31579464 37218654 43421763 47369196 49624872 57895684 74437308 86843526 94738392 115791368 130265289 148874616 173687052 260530578 347374104 521061156 1042122312