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1121133330 = 2325291014253
BaseRepresentation
bin100001011010011…
…0010001100010010
32220010121110210200
41002310302030102
54244002231310
6303125440030
736532322202
oct10264621422
92803543720
101121133330
1152593a079
12273570016
1314b36cc05
14a8c80402
156865c9c0
hex42d32312

1121133330 has 96 divisors (see below), whose sum is σ = 3046034160. Its totient is φ = 285734400.

The previous prime is 1121133329. The next prime is 1121133341. The reversal of 1121133330 is 333311211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 566106849 + 555026481 = 23793^2 + 23559^2 .

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 47 ways as a sum of consecutive naturals, for example, 261484 + ... + 265736.

Almost surely, 21121133330 is an apocalyptic number.

1121133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523017080).

1121133330 is an abundant number, since it is smaller than the sum of its proper divisors (1924900830).

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

1121133330 is a wasteful number, since it uses less digits than its factorization.

1121133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1121133330 is about 33483.3291355564. The cubic root of 1121133330 is about 1038.8489885551.

Adding to 1121133330 its reverse (333311211), we get a palindrome (1454444541).

The spelling of 1121133330 in words is "one billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 101 145 174 202 261 290 303 435 505 522 606 870 909 1010 1305 1515 1818 2610 2929 3030 4253 4545 5858 8506 8787 9090 12759 14645 17574 21265 25518 26361 29290 38277 42530 43935 52722 63795 76554 87870 123337 127590 131805 191385 246674 263610 370011 382770 429553 616685 740022 859106 1110033 1233370 1288659 1850055 2147765 2220066 2577318 3700110 3865977 4295530 5550165 6443295 7731954 11100330 12457037 12886590 19329885 24914074 37371111 38659770 62285185 74742222 112113333 124570370 186855555 224226666 373711110 560566665 1121133330