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1134001242 = 2331147151269
BaseRepresentation
bin100001110010111…
…0111110001011010
32221000211020021000
41003211313301122
54310301014432
6304305325430
740046565033
oct10345676132
92830736230
101134001242
11532128a10
12277936876
13150c26c6a
14aa86da8a
156985057c
hex43977c5a

1134001242 has 128 divisors (see below), whose sum is σ = 2836684800. Its totient is φ = 332856000.

The previous prime is 1134001213. The next prime is 1134001259. The reversal of 1134001242 is 2421004311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4215484 + ... + 4215752.

It is an arithmetic number, because the mean of its divisors is an integer number (22161600).

Almost surely, 21134001242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134001242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418342400).

1134001242 is an abundant number, since it is smaller than the sum of its proper divisors (1702683558).

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

1134001242 is a wasteful number, since it uses less digits than its factorization.

1134001242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

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

The square root of 1134001242 is about 33674.9349219861. The cubic root of 1134001242 is about 1042.8083741735.

Adding to 1134001242 its reverse (2421004311), we get a palindrome (3555005553).

The spelling of 1134001242 in words is "one billion, one hundred thirty-four million, one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 151 198 269 282 297 302 423 453 517 538 594 807 846 906 1034 1269 1359 1551 1614 1661 2421 2538 2718 2959 3102 3322 4077 4653 4842 4983 5918 7097 7263 8154 8877 9306 9966 12643 13959 14194 14526 14949 17754 21291 25286 26631 27918 29898 37929 40619 42582 44847 53262 63873 75858 78067 79893 81238 89694 113787 121857 127746 139073 156134 159786 191619 227574 234201 243714 278146 341361 365571 383238 417219 446809 468402 682722 702603 731142 834438 893618 1096713 1251657 1340427 1405206 1909093 2107809 2193426 2503314 2680854 3754971 3818186 4021281 4215618 5727279 7509942 8042562 11454558 12063843 17181837 21000023 24127686 34363674 42000046 51545511 63000069 103091022 126000138 189000207 378000414 567000621 1134001242