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10000346420 = 2253116129591
BaseRepresentation
bin10010101000001000…
…10010110100110100
3221210221102020022202
421110010102310310
5130440042041140
64332154044032
7502550353631
oct112404226464
927727366282
1010000346420
114271a31309
121b31119618
13c34aac05c
146ac213188
153d7e2a915
hex254112d34

10000346420 has 24 divisors (see below), whose sum is σ = 21678171648. Its totient is φ = 3871101600.

The previous prime is 10000346417. The next prime is 10000346429. The reversal of 10000346420 is 2464300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10000346392 and 10000346401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000346429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8064176 + ... + 8065415.

It is an arithmetic number, because the mean of its divisors is an integer number (903257152).

Almost surely, 210000346420 is an apocalyptic number.

10000346420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000346420 is an abundant number, since it is smaller than the sum of its proper divisors (11677825228).

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

10000346420 is a wasteful number, since it uses less digits than its factorization.

10000346420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16129631 (or 16129629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10000346420 its reverse (2464300001), we get a palindrome (12464646421).

The spelling of 10000346420 in words is "ten billion, three hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 16129591 32259182 64518364 80647955 161295910 322591820 500017321 1000034642 2000069284 2500086605 5000173210 10000346420