Search a number
-
+
1001313133112 = 231767277396713
BaseRepresentation
bin11101001001000101110…
…10011110001000111000
310112201120020022111110202
432210202322132020320
5112401142130224422
62043555155301332
7132225321125315
oct16444272361070
93481506274422
101001313133112
11356722183276
121420898aa848
1373567351496
143666c9c5d0c
151b0a6b9cb92
hexe922e9e238

1001313133112 has 64 divisors (see below), whose sum is σ = 2024859993120. Its totient is φ = 462496370688.

The previous prime is 1001313133043. The next prime is 1001313133127. The reversal of 1001313133112 is 2113313131001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325668 + ... + 2722380.

Almost surely, 21001313133112 is an apocalyptic number.

It is an amenable number.

1001313133112 is an abundant number, since it is smaller than the sum of its proper divisors (1023546860008).

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

1001313133112 is a wasteful number, since it uses less digits than its factorization.

1001313133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397080 (or 397076 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1001313133112 its reverse (2113313131001), we get a palindrome (3114626264113).

The spelling of 1001313133112 in words is "one trillion, one billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 67 68 134 136 268 277 536 554 1108 1139 2216 2278 4556 4709 9112 9418 18559 18836 37118 37672 74236 148472 315503 396713 631006 793426 1262012 1586852 2524024 3173704 6744121 13488242 26579771 26976484 53159542 53952968 106319084 109889501 212638168 219779002 439558004 451856107 879116008 903712214 1807424428 1868121517 3614848856 3736243034 7362596567 7472486068 14725193134 14944972136 29450386268 58900772536 125164141639 250328283278 500656566556 1001313133112