Search a number
-
+
1120213332 = 2232737317379
BaseRepresentation
bin100001011000101…
…0001100101010100
32220001212201210200
41002301101211110
54243233311312
6303054020500
736521441040
oct10261214524
92801781720
101120213332
11525370947
122731a7730
1314b10a234
14a8ac1020
156852a0dc
hex42c51954

1120213332 has 144 divisors (see below), whose sum is σ = 3342917760. Its totient is φ = 309609216.

The previous prime is 1120213331. The next prime is 1120213373. The reversal of 1120213332 is 2333120211.

1120213332 is a `hidden beast` number, since 1 + 120 + 213 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120213331) 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, 2955519 + ... + 2955897.

Almost surely, 21120213332 is an apocalyptic number.

1120213332 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 1120213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671458880).

1120213332 is an abundant number, since it is smaller than the sum of its proper divisors (2222704428).

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

1120213332 is a wasteful number, since it uses less digits than its factorization.

1120213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1120213332 is about 33469.5881659754. The cubic root of 1120213332 is about 1038.5647522052.

Adding to 1120213332 its reverse (2333120211), we get a palindrome (3453333543).

The spelling of 1120213332 in words is "one billion, one hundred twenty million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 317 333 379 444 518 634 666 758 777 951 1036 1137 1268 1332 1516 1554 1902 2219 2274 2331 2653 2853 3108 3411 3804 4438 4548 4662 5306 5706 6657 6822 7959 8876 9324 10612 11412 11729 13314 13644 14023 15918 19971 23458 23877 26628 28046 31836 35187 39942 42069 46916 47754 56092 70374 79884 82103 84138 95508 98161 105561 120143 126207 140748 164206 168276 196322 211122 240286 246309 252414 294483 328412 360429 392644 422244 480572 492618 504828 588966 720858 738927 841001 883449 985236 1081287 1177932 1441716 1477854 1682002 1766898 2162574 2523003 2955708 3364004 3533796 4325148 4445291 5046006 7569009 8890582 10092012 13335873 15138018 17781164 26671746 30276036 31117037 40007619 53343492 62234074 80015238 93351111 124468148 160030476 186702222 280053333 373404444 560106666 1120213332