Search a number
-
+
1121106294 = 2327114991621
BaseRepresentation
bin100001011010010…
…1011100101110110
32220010120002201100
41002310223211312
54244000400134
6303125110530
736532150320
oct10264534566
92803502640
101121106294
11525920830
12273558446
1314b360809
14a8c74610
1568654999
hex42d2b976

1121106294 has 96 divisors (see below), whose sum is σ = 3036384000. Its totient is φ = 290433600.

The previous prime is 1121106263. The next prime is 1121106299. The reversal of 1121106294 is 4926011211.

1121106294 is a `hidden beast` number, since 1 + 1 + 21 + 10 + 629 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121106299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690804 + ... + 692424.

It is an arithmetic number, because the mean of its divisors is an integer number (31629000).

Almost surely, 21121106294 is an apocalyptic number.

1121106294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121106294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518192000).

1121106294 is an abundant number, since it is smaller than the sum of its proper divisors (1915277706).

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

1121106294 is a wasteful number, since it uses less digits than its factorization.

1121106294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1121106294 is about 33482.9254098264. The cubic root of 1121106294 is about 1038.8406379137.

The spelling of 1121106294 in words is "one billion, one hundred twenty-one million, one hundred six thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 499 693 998 1386 1497 1621 2994 3242 3493 4491 4863 5489 6986 8982 9726 10479 10978 11347 14589 16467 17831 20958 22694 29178 31437 32934 34041 35662 38423 49401 53493 62874 68082 76846 98802 102123 106986 115269 124817 160479 204246 230538 249634 320958 345807 374451 691614 748902 808879 1123353 1617758 2246706 2426637 4853274 5662153 7279911 8897669 11324306 14559822 16986459 17795338 26693007 33972918 50959377 53386014 62283683 80079021 101918754 124567366 160158042 186851049 373702098 560553147 1121106294