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1121030757 = 32711329461
BaseRepresentation
bin100001011010001…
…1001001001100101
32220010102021002200
41002310121021211
54243440441012
6303123325113
736531414150
oct10264311145
92803367080
101121030757
1152587a000
12273520799
1314b335312
14a8c54c97
156863c3dc
hex42d19265

1121030757 has 96 divisors (see below), whose sum is σ = 2110268160. Its totient is φ = 561052800.

The previous prime is 1121030747. The next prime is 1121030767. The reversal of 1121030757 is 7570301211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121030747) and next prime (1121030767).

It is not a de Polignac number, because 1121030757 - 27 = 1121030629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121030757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121030737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2431507 + ... + 2431967.

It is an arithmetic number, because the mean of its divisors is an integer number (21981960).

Almost surely, 21121030757 is an apocalyptic number.

It is an amenable number.

1121030757 is a deficient number, since it is larger than the sum of its proper divisors (989237403).

1121030757 is a wasteful number, since it uses less digits than its factorization.

1121030757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1121030757 is about 33481.7973979893. The cubic root of 1121030757 is about 1038.8173059995.

Adding to 1121030757 its reverse (7570301211), we get a palindrome (8691331968).

The spelling of 1121030757 in words is "one billion, one hundred twenty-one million, thirty thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 121 203 231 261 319 363 461 609 693 847 957 1089 1331 1383 1827 2233 2541 2871 3227 3509 3993 4149 5071 6699 7623 9317 9681 10527 11979 13369 15213 20097 24563 27951 29043 31581 35497 38599 40107 45639 55781 73689 83853 93583 106491 115797 120321 147059 167343 221067 270193 280749 319473 347391 390467 441177 502029 613591 810579 842247 1029413 1171401 1323531 1617649 1840773 2431737 3088239 3514203 4295137 4852947 5522319 9264717 11323543 12885411 14558841 17794139 33970629 38656233 53382417 101911887 124558973 160147251 373676919 1121030757