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1135431108 = 22357198783
BaseRepresentation
bin100001110101101…
…0100110111000100
32221010111212200000
41003223110313010
54311132243413
6304400121300
740065001530
oct10353246704
92833455600
101135431108
11532a15219
12278306230
13151307a36
14aab22bc0
1569a34073
hex43ad4dc4

1135431108 has 144 divisors (see below), whose sum is σ = 3581061120. Its totient is φ = 307299744.

The previous prime is 1135431097. The next prime is 1135431131. The reversal of 1135431108 is 8011345311.

1135431108 is a `hidden beast` number, since 1 + 1 + 3 + 543 + 110 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 124885 + ... + 133667.

It is an arithmetic number, because the mean of its divisors is an integer number (24868480).

Almost surely, 21135431108 is an apocalyptic number.

1135431108 is a gapful number since it is divisible by the number (18) 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 1135431108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790530560).

1135431108 is an abundant number, since it is smaller than the sum of its proper divisors (2445630012).

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

1135431108 is a wasteful number, since it uses less digits than its factorization.

1135431108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1135431108 is about 33696.1586534727. The cubic root of 1135431108 is about 1043.2464836220.

Adding to 1135431108 its reverse (8011345311), we get a palindrome (9146776419).

The spelling of 1135431108 in words is "one billion, one hundred thirty-five million, four hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 756 798 972 1026 1134 1197 1539 1596 1701 2052 2268 2394 3078 3402 3591 4617 4788 6156 6804 7182 8783 9234 10773 14364 17566 18468 21546 26349 32319 35132 43092 52698 61481 64638 79047 105396 122962 129276 158094 166877 184443 237141 245924 316188 333754 368886 474282 500631 553329 667508 711423 737772 948564 1001262 1106658 1168139 1422846 1501893 1659987 2002524 2134269 2213316 2336278 2845692 3003786 3319974 3504417 4268538 4505679 4672556 4979961 6007572 6639948 7008834 8537076 9011358 9959922 10513251 13517037 14017668 14939883 18022716 19919844 21026502 27034074 29879766 31539753 40551111 42053004 54068148 59759532 63079506 81102222 94619259 126159012 162204444 189238518 283857777 378477036 567715554 1135431108