Search a number
-
+
1121321112 = 233374767401
BaseRepresentation
bin100001011010110…
…0000000010011000
32220010222000101120
41002311200002120
54244024233422
6303133445240
736534033522
oct10265400230
92803860346
101121321112
11525a5816a
12273640820
1314b407522
14a8ccca12
156869845c
hex42d60098

1121321112 has 128 divisors (see below), whose sum is σ = 2991651840. Its totient is φ = 349747200.

The previous prime is 1121321111. The next prime is 1121321143. The reversal of 1121321112 is 2111231211.

It is a super-2 number, since 2×11213211122 = 2514722072433833088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121321091 and 1121321100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121321111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2796112 + ... + 2796512.

It is an arithmetic number, because the mean of its divisors is an integer number (23372280).

Almost surely, 21121321112 is an apocalyptic number.

1121321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495825920).

1121321112 is an abundant number, since it is smaller than the sum of its proper divisors (1870330728).

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

1121321112 is a wasteful number, since it uses less digits than its factorization.

1121321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1121321112 is about 33486.1331299988. The cubic root of 1121321112 is about 1038.9069852998.

Adding to 1121321112 its reverse (2111231211), we get a palindrome (3232552323).

The spelling of 1121321112 in words is "one billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 47 67 74 94 111 134 141 148 188 201 222 268 282 296 376 401 402 444 536 564 802 804 888 1128 1203 1604 1608 1739 2406 2479 3149 3208 3478 4812 4958 5217 6298 6956 7437 9447 9624 9916 10434 12596 13912 14837 14874 18847 18894 19832 20868 25192 26867 29674 29748 37694 37788 41736 44511 53734 56541 59348 59496 75388 75576 80601 89022 107468 113082 116513 118696 150776 161202 178044 214936 226164 233026 322404 349539 356088 452328 466052 644808 697339 699078 932104 994079 1262749 1394678 1398156 1988158 2092017 2525498 2789356 2796312 2982237 3788247 3976316 4184034 5050996 5578712 5964474 7576494 7952632 8368068 10101992 11928948 15152988 16736136 23857896 30305976 46721713 93443426 140165139 186886852 280330278 373773704 560660556 1121321112