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1130100312 = 2331121013853
BaseRepresentation
bin100001101011011…
…1111011001011000
32220202111001012010
41003112333121120
54303301202222
6304045545520
740001460045
oct10326773130
92822431163
101130100312
1152aa04100
122765752a0
1315018c513
14aa1361cc
156932e80c
hex435bf658

1130100312 has 96 divisors (see below), whose sum is σ = 3137001840. Its totient is φ = 338976000.

The previous prime is 1130100311. The next prime is 1130100317. The reversal of 1130100312 is 2130010311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130100311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291378 + ... + 295230.

Almost surely, 21130100312 is an apocalyptic number.

1130100312 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 1130100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568500920).

1130100312 is an abundant number, since it is smaller than the sum of its proper divisors (2006901528).

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

1130100312 is a wasteful number, since it uses less digits than its factorization.

1130100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1130100312 is about 33616.9646458451. The cubic root of 1130100312 is about 1041.6112573435.

Adding to 1130100312 its reverse (2130010311), we get a palindrome (3260110623).

Subtracting 1130100312 from its reverse (2130010311), we obtain a palindrome (999909999).

The spelling of 1130100312 in words is "one billion, one hundred thirty million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 202 242 264 303 363 404 484 606 726 808 968 1111 1212 1452 2222 2424 2904 3333 3853 4444 6666 7706 8888 11559 12221 13332 15412 23118 24442 26664 30824 36663 42383 46236 48884 73326 84766 92472 97768 127149 146652 169532 254298 293304 339064 389153 466213 508596 778306 932426 1017192 1167459 1398639 1556612 1864852 2334918 2797278 3113224 3729704 4280683 4669836 5594556 8561366 9339672 11189112 12842049 17122732 25684098 34245464 47087513 51368196 94175026 102736392 141262539 188350052 282525078 376700104 565050156 1130100312