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1123440435 = 34513377379
BaseRepresentation
bin100001011110110…
…0101011100110011
32220021221200120000
41002331211130303
54300100043220
6303251121043
736561041355
oct10275453463
92807850500
101123440435
11527175477
122742a3183
1314b99a070
14a92c10d5
1568966390
hex42f65733

1123440435 has 160 divisors (see below), whose sum is σ = 2286493440. Its totient is φ = 524040192.

The previous prime is 1123440433. The next prime is 1123440449. The reversal of 1123440435 is 5340443211.

It is a happy number.

It is not a de Polignac number, because 1123440435 - 21 = 1123440433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1123440399 and 1123440408.

It is not an unprimeable number, because it can be changed into a prime (1123440431) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 14220726 + ... + 14220804.

It is an arithmetic number, because the mean of its divisors is an integer number (14290584).

Almost surely, 21123440435 is an apocalyptic number.

1123440435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1123440435 is an abundant number, since it is smaller than the sum of its proper divisors (1163053005).

1123440435 is a wasteful number, since it uses less digits than its factorization.

1123440435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1123440435 is about 33517.7629772633. The cubic root of 1123440435 is about 1039.5610928406.

Adding to 1123440435 its reverse (5340443211), we get a palindrome (6463883646).

The spelling of 1123440435 in words is "one billion, one hundred twenty-three million, four hundred forty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 73 79 81 111 117 135 185 195 219 237 333 351 365 395 405 481 555 585 657 711 949 999 1027 1053 1095 1185 1443 1665 1755 1971 2133 2405 2701 2847 2923 2997 3081 3285 3555 4329 4745 4995 5135 5265 5767 5913 6399 7215 8103 8541 8769 9243 9855 10665 12987 13505 14235 14615 14985 15405 17301 21645 24309 25623 26307 27729 28835 29565 31995 35113 37999 38961 40515 42705 43845 46215 51903 64935 72927 74971 76869 78921 83187 86505 105339 113997 121545 128115 131535 138645 155709 175565 189995 194805 213379 218781 224913 236763 259515 316017 341991 364635 374855 384345 394605 415935 467127 526695 569985 640137 674739 778545 948051 1025973 1066895 1093905 1124565 1183815 1580085 1709955 1920411 2024217 2335635 2773927 2844153 3077919 3200685 3373695 4740255 5129865 5761233 6072651 8321781 9602055 10121085 13869635 14220765 15389595 17283699 24965343 28806165 30363255 41608905 74896029 86418495 124826715 224688087 374480145 1123440435