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1042012335 = 357134143433
BaseRepresentation
bin111110000110111…
…101100010101111
32200121201201012110
4332012331202233
54113223343320
6251221535103
734551646560
oct7606754257
92617651173
101042012335
11495209321
12250b74493
13137b59960
149c566167
156172e5e0
hex3e1bd8af

1042012335 has 128 divisors (see below), whose sum is σ = 2155862016. Its totient is φ = 418037760.

The previous prime is 1042012333. The next prime is 1042012381. The reversal of 1042012335 is 5332102401.

It is not a de Polignac number, because 1042012335 - 21 = 1042012333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042012333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2406279 + ... + 2406711.

It is an arithmetic number, because the mean of its divisors is an integer number (16842672).

Almost surely, 21042012335 is an apocalyptic number.

1042012335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1042012335 is an abundant number, since it is smaller than the sum of its proper divisors (1113849681).

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

1042012335 is a wasteful number, since it uses less digits than its factorization.

1042012335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1042012335 is about 32280.2158450033. The cubic root of 1042012335 is about 1013.8124495082.

Adding to 1042012335 its reverse (5332102401), we get a palindrome (6374114736).

The spelling of 1042012335 in words is "one billion, forty-two million, twelve thousand, three hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 41 43 65 91 105 123 129 195 205 215 273 287 301 433 455 533 559 615 645 861 903 1299 1365 1435 1505 1599 1677 1763 2165 2665 2795 3031 3731 3913 4305 4515 5289 5629 6495 7995 8385 8815 9093 11193 11739 12341 15155 16887 17753 18619 18655 19565 22919 26445 28145 37023 39403 45465 53259 55857 55965 58695 61705 68757 84435 88765 93095 114595 118209 124271 130333 160433 185115 197015 230789 242047 266295 279285 343785 372813 390999 481299 591045 621355 651665 692367 726141 763379 802165 1153945 1210235 1615523 1694329 1864065 1954995 2290137 2406495 3461835 3630705 3816895 4846569 5082987 5343653 8077615 8471645 9923927 11450685 16030959 24232845 25414935 26718265 29771781 49619635 69467489 80154795 148858905 208402467 347337445 1042012335