Search a number
-
+
1002113884926 = 2327211103289413
BaseRepresentation
bin11101001010100101010…
…01000110001011111110
310112210122001001220110100
432211102221012023332
5112404312123304201
62044210442221530
7132254213322600
oct16452251061376
93483561056410
101002113884926
11356aa3187a30
12142271ab48a6
137366420861b
14367070a9170
151b102122886
hexe952a462fe

1002113884926 has 72 divisors (see below), whose sum is σ = 2755348407864. Its totient is φ = 260289318240.

The previous prime is 1002113884921. The next prime is 1002113884927. The reversal of 1002113884926 is 6294883112001.

1002113884926 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 138 + 8 + 492 + 6 = 666.

It is a super-2 number, since 2×10021138849262 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002113884921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51635005 + ... + 51654408.

It is an arithmetic number, because the mean of its divisors is an integer number (38268727887).

Almost surely, 21002113884926 is an apocalyptic number.

1002113884926 is an abundant number, since it is smaller than the sum of its proper divisors (1753234522938).

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

1002113884926 is a wasteful number, since it uses less digits than its factorization.

1002113884926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103289446 (or 103289436 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

Adding to 1002113884926 its reverse (6294883112001), we get a palindrome (7296996996927).

The spelling of 1002113884926 in words is "one trillion, two billion, one hundred thirteen million, eight hundred eighty-four thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 103289413 206578826 309868239 619736478 723025891 929604717 1136183543 1446051782 1859209434 2169077673 2272367086 3408550629 4338155346 5061181237 6507233019 6817101258 7953284801 10122362474 10225651887 13014466038 15183543711 15906569602 20451303774 23859854403 30367087422 45550631133 47719708806 55672993607 71579563209 91101262266 111345987214 143159126418 167018980821 334037961642 501056942463 1002113884926