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100353310420 = 2251119291575273
BaseRepresentation
bin101110101110110000…
…1011111111011010100
3100121000210110101000211
41131131201133323110
53121010421413140
6114033543415204
710151564031016
oct1353541377324
9317023411024
10100353310420
1139617911490
1217548154504
139603a8466c
144bddd501b6
1529252792ea
hex175d85fed4

100353310420 has 192 divisors, whose sum is σ = 251987500800. Its totient is φ = 33160458240.

The previous prime is 100353310417. The next prime is 100353310429. The reversal of 100353310420 is 24013353001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100353310391 and 100353310400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100353310429) 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 63 ways as a sum of consecutive naturals, for example, 19028904 + ... + 19034176.

It is an arithmetic number, because the mean of its divisors is an integer number (1312434900).

Almost surely, 2100353310420 is an apocalyptic number.

100353310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100353310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125993750400).

100353310420 is an abundant number, since it is smaller than the sum of its proper divisors (151634190380).

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

100353310420 is a wasteful number, since it uses less digits than its factorization.

100353310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 100353310420 its reverse (24013353001), we get a palindrome (124366663421).

The spelling of 100353310420 in words is "one hundred billion, three hundred fifty-three million, three hundred ten thousand, four hundred twenty".