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100021111310032 = 24112293092478323
BaseRepresentation
bin10110101111011111111010…
…110011110100011011010000
3111010010220222012222012022021
4112233133322303310123100
5101102221213443410112
6552421021511221224
730032200244256133
oct2657377263643320
9433126865865267
10100021111310032
1129962795875940
12b274917977814
1343a6c47b31483
141a9b09493c21a
15b86ba2da7907
hex5af7facf46d0

100021111310032 has 40 divisors (see below), whose sum is σ = 211409265235680. Its totient is φ = 45463924894080.

The previous prime is 100021111309961. The next prime is 100021111310039. The reversal of 100021111310032 is 230013111120001.

It is a happy number.

It is a super-2 number, since 2×1000211113100322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100021111309988 and 100021111310015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021111310039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39119223 + ... + 41597545.

It is an arithmetic number, because the mean of its divisors is an integer number (5285231630892).

Almost surely, 2100021111310032 is an apocalyptic number.

It is an amenable number.

100021111310032 is an abundant number, since it is smaller than the sum of its proper divisors (111388153925648).

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

100021111310032 is a wasteful number, since it uses less digits than its factorization.

100021111310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707651 (or 2707645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100021111310032 its reverse (230013111120001), we get a palindrome (330034222430033).

The spelling of 100021111310032 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 229309 458618 917236 1834472 2478323 2522399 3668944 4956646 5044798 9913292 10089596 19826584 20179192 27261553 39653168 40358384 54523106 109046212 218092424 436184848 568301768807 1136603537614 2273207075228 4546414150456 6251319456877 9092828300912 12502638913754 25005277827508 50010555655016 100021111310032