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11002241310 = 2353131193793
BaseRepresentation
bin10100011111100100…
…01110000100011110
31001101202122202201220
422033302032010132
5140013033210220
65015424114210
7536434336164
oct121762160436
931352582656
1011002241310
114736529815
122170765966
131064530878
147652d5234
15445d83540
hex28fc8e11e

11002241310 has 64 divisors (see below), whose sum is σ = 27273093120. Its totient is φ = 2837629440.

The previous prime is 11002241297. The next prime is 11002241317. The reversal of 11002241310 is 1314220011.

11002241310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110022413102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002241310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002241317) 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 31 ways as a sum of consecutive naturals, for example, 2898774 + ... + 2902566.

It is an arithmetic number, because the mean of its divisors is an integer number (426142080).

Almost surely, 211002241310 is an apocalyptic number.

11002241310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11002241310 is an abundant number, since it is smaller than the sum of its proper divisors (16270851810).

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

11002241310 is a wasteful number, since it uses less digits than its factorization.

11002241310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11002241310 its reverse (1314220011), we get a palindrome (12316461321).

The spelling of 11002241310 in words is "eleven billion, two million, two hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 3119 3793 6238 7586 9357 11379 15595 18714 18965 22758 31190 37930 46785 56895 93570 96689 113790 117583 193378 235166 290067 352749 483445 580134 587915 705498 966890 1175830 1450335 1763745 2900670 3527490 11830367 23660734 35491101 59151835 70982202 118303670 177455505 354911010 366741377 733482754 1100224131 1833706885 2200448262 3667413770 5501120655 11002241310