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10021100238 = 2323199718013
BaseRepresentation
bin10010101010100110…
…11101101011001110
3221212101110122012200
421111103131223032
5131010400201423
64334214542330
7503221642452
oct112523355316
927771418180
1010021100238
114282716a26
121b380679a6
13c39197616
146b0c96662
153d9b79d43
hex2554ddace

10021100238 has 48 divisors (see below), whose sum is σ = 22436509056. Its totient is φ = 3229191360.

The previous prime is 10021100237. The next prime is 10021100281. The reversal of 10021100238 is 83200112001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10021100238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100237) by changing a digit.

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, 547320 + ... + 565332.

It is an arithmetic number, because the mean of its divisors is an integer number (467427272).

Almost surely, 210021100238 is an apocalyptic number.

10021100238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021100238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218254528).

10021100238 is an abundant number, since it is smaller than the sum of its proper divisors (12415408818).

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

10021100238 is a wasteful number, since it uses less digits than its factorization.

10021100238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19049 (or 19046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10021100238 its reverse (83200112001), we get a palindrome (93221212239).

The spelling of 10021100238 in words is "ten billion, twenty-one million, one hundred thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 997 1994 2991 5982 8973 17946 18013 30907 36026 54039 61814 92721 108078 162117 185442 278163 324234 556326 558403 1116806 1675209 3350418 5025627 10051254 17958961 35917922 53876883 107753766 161630649 323261298 556727791 1113455582 1670183373 3340366746 5010550119 10021100238