Search a number
-
+
1001002213332 = 22321115716100531
BaseRepresentation
bin11101001000100000110…
…00011001111111010100
310112200202120021010201100
432210100120121333110
5112400023031311312
62043504251230100
7132214524265542
oct16442030317724
93480676233640
101001002213332
11356582720680
12142001748330
1373517acc294
143663d5acd92
151b0897335dc
hexe910619fd4

1001002213332 has 72 divisors (see below), whose sum is σ = 2777921389152. Its totient is φ = 301401921600.

The previous prime is 1001002213291. The next prime is 1001002213369. The reversal of 1001002213332 is 2333122001001.

1001002213332 is a `hidden beast` number, since 10 + 0 + 100 + 221 + 3 + 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 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 23 ways as a sum of consecutive naturals, for example, 7988094 + ... + 8112437.

It is an arithmetic number, because the mean of its divisors is an integer number (38582241516).

Almost surely, 21001002213332 is an apocalyptic number.

1001002213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001002213332 is an abundant number, since it is smaller than the sum of its proper divisors (1776919175820).

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

1001002213332 is a wasteful number, since it uses less digits than its factorization.

1001002213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100709 (or 16100704 counting only the distinct ones).

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

Adding to 1001002213332 its reverse (2333122001001), we get a palindrome (3334124214333).

The spelling of 1001002213332 in words is "one trillion, one billion, two million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 942 1413 1727 1884 2826 3454 5181 5652 6908 10362 15543 20724 31086 62172 16100531 32201062 48301593 64402124 96603186 144904779 177105841 193206372 289809558 354211682 531317523 579619116 708423364 1062635046 1593952569 2125270092 2527783367 3187905138 5055566734 6375810276 7583350101 10111133468 15166700202 22750050303 27805617037 30333400404 45500100606 55611234074 83416851111 91000201212 111222468148 166833702222 250250553333 333667404444 500501106666 1001002213332