Search a number
-
+
1121104314 = 231011863
BaseRepresentation
bin100001011010010…
…1011000110111010
32220010120000000000
41002310223012322
54244000314224
6303125053430
736532141461
oct10264530672
92803500000
101121104314
1152591a2a0
12273557276
1314b35c945
14a8c739d8
15686540c9
hex42d2b1ba

1121104314 has 88 divisors (see below), whose sum is σ = 2754974592. Its totient is φ = 339334920.

The previous prime is 1121104297. The next prime is 1121104331. The reversal of 1121104314 is 4134011211.

It is an interprime number because it is at equal distance from previous prime (1121104297) and next prime (1121104331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1298647 + ... + 1299509.

Almost surely, 21121104314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121104314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377487296).

1121104314 is an abundant number, since it is smaller than the sum of its proper divisors (1633870278).

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

1121104314 is an frugal number, since it uses more digits than its factorization.

1121104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1121104314 is about 33482.8958425044. The cubic root of 1121104314 is about 1038.8400263435.

Adding to 1121104314 its reverse (4134011211), we get a palindrome (5255115525).

The spelling of 1121104314 in words is "one billion, one hundred twenty-one million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 863 891 1458 1726 1782 2187 2589 2673 4374 5178 5346 6561 7767 8019 9493 13122 15534 16038 18986 19683 23301 24057 28479 39366 46602 48114 56958 59049 69903 72171 85437 118098 139806 144342 170874 209709 216513 256311 419418 433026 512622 629127 649539 768933 1258254 1299078 1537866 1887381 2306799 3774762 4613598 5662143 6920397 11324286 13840794 16986429 20761191 33972858 41522382 50959287 62283573 101918574 124567146 186850719 373701438 560552157 1121104314