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1122330132 = 2232711676043
BaseRepresentation
bin100001011100101…
…0110011000010100
32220012212021111200
41002321112120110
54244304031012
6303211232500
736545435340
oct10271263024
92805767450
101122330132
11526587270
12273a48730
1314b69b891
14a90b2620
15687e73dc
hex42e56614

1122330132 has 144 divisors (see below), whose sum is σ = 3590426112. Its totient is φ = 287115840.

The previous prime is 1122330119. The next prime is 1122330193. The reversal of 1122330132 is 2310332211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182703 + ... + 188745.

Almost surely, 21122330132 is an apocalyptic number.

1122330132 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 1122330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795213056).

1122330132 is an abundant number, since it is smaller than the sum of its proper divisors (2468095980).

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

1122330132 is a wasteful number, since it uses less digits than its factorization.

1122330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6133 counting only the distinct ones).

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

The square root of 1122330132 is about 33501.1959786513. The cubic root of 1122330132 is about 1039.2185117785.

Adding to 1122330132 its reverse (2310332211), we get a palindrome (3432662343).

The spelling of 1122330132 in words is "one billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 67 77 84 99 126 132 134 154 198 201 231 252 268 308 396 402 462 469 603 693 737 804 924 938 1206 1386 1407 1474 1876 2211 2412 2772 2814 2948 4221 4422 5159 5628 6043 6633 8442 8844 10318 12086 13266 15477 16884 18129 20636 24172 26532 30954 36258 42301 46431 54387 61908 66473 72516 84602 92862 108774 126903 132946 169204 185724 199419 217548 253806 265892 380709 398838 404881 465311 507612 598257 761418 797676 809762 930622 1196514 1214643 1395933 1522836 1619524 1861244 2393028 2429286 2791866 2834167 3643929 4187799 4453691 4858572 5583732 5668334 7287858 8375598 8502501 8907382 11336668 13361073 14575716 16751196 17005002 17814764 25507503 26722146 31175837 34010004 40083219 51015006 53444292 62351674 80166438 93527511 102030012 124703348 160332876 187055022 280582533 374110044 561165066 1122330132