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10002234121 = 1117101653811
BaseRepresentation
bin10010101000010110…
…11111101100001001
3221211001222010202121
421110023133230021
5130441032442441
64332302331241
7502602405265
oct112413375411
927731863677
1010002234121
1142730005a0
121b31889b21
13c352c0339
146ac5850a5
153d819edd1
hex2542dfb09

10002234121 has 32 divisors (see below), whose sum is σ = 11700049536. Its totient is φ = 8449920000.

The previous prime is 10002234097. The next prime is 10002234139. The reversal of 10002234121 is 12143220001.

10002234121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10002234121 - 233 = 1412299529 is a prime.

It is a super-2 number, since 2×100022341212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002234095 and 10002234104.

It is not an unprimeable number, because it can be changed into a prime (10002234421) 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, 12332806 + ... + 12333616.

It is an arithmetic number, because the mean of its divisors is an integer number (365626548).

Almost surely, 210002234121 is an apocalyptic number.

10002234121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002234121 is a deficient number, since it is larger than the sum of its proper divisors (1697815415).

10002234121 is a wasteful number, since it uses less digits than its factorization.

10002234121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10002234121 its reverse (12143220001), we get a palindrome (22145454122).

The spelling of 10002234121 in words is "ten billion, two million, two hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 11 17 101 187 653 811 1111 1717 7183 8921 11101 13787 18887 65953 81911 122111 151657 529583 725483 901021 1121201 1392487 5825413 9002911 12333211 15317357 53487883 99032021 588366713 909294011 10002234121