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100324334022 = 231112714980329
BaseRepresentation
bin101110101101111001…
…0111101100111000110
3100120221202221012212220
41131123302331213012
53120431012142042
6114031030353210
710151062524513
oct1353362754706
9316852835786
10100324334022
1139602520050
121753a4bb806
1395caa7a573
144bda16a30a
1529229538ec
hex175bcbd9c6

100324334022 has 64 divisors (see below), whose sum is σ = 222096384000. Its totient is φ = 29959130880.

The previous prime is 100324334003. The next prime is 100324334023. The reversal of 100324334022 is 220433423001.

It is a junction number, because it is equal to n+sod(n) for n = 100324333983 and 100324334001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100324334023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208754 + ... + 1289082.

It is an arithmetic number, because the mean of its divisors is an integer number (3470256000).

Almost surely, 2100324334022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100324334022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111048192000).

100324334022 is an abundant number, since it is smaller than the sum of its proper divisors (121772049978).

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

100324334022 is a wasteful number, since it uses less digits than its factorization.

100324334022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80621.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 100324334022 its reverse (220433423001), we get a palindrome (320757757023).

The spelling of 100324334022 in words is "one hundred billion, three hundred twenty-four million, three hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 149 254 298 381 447 762 894 1397 1639 2794 3278 4191 4917 8382 9834 18923 37846 56769 80329 113538 160658 208153 240987 416306 481974 624459 883619 1248918 1767238 2650857 5301714 10201783 11969021 20403566 23938042 30605349 35907063 61210698 71814126 112219613 131659231 224439226 263318462 336658839 394977693 673317678 789955386 1520065667 3040131334 4560197001 9120394002 16720722337 33441444674 50162167011 100324334022