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10002230100 = 22325211113589
BaseRepresentation
bin10010101000010110…
…11110101101010100
3221211001221221020200
421110023132231110
5130441032330400
64332302300500
7502602360462
oct112413365524
927731857220
1010002230100
114272aa8575
121b31887730
13c352bb565
146ac583832
153d819db00
hex2542deb54

10002230100 has 54 divisors (see below), whose sum is σ = 31351437390. Its totient is φ = 2667261120.

The previous prime is 10002230093. The next prime is 10002230131. The reversal of 10002230100 is 103220001.

It is a happy number.

10002230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 391564944 + 9610665156 = 19788^2 + 98034^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5555895 + ... + 5557694.

Almost surely, 210002230100 is an apocalyptic number.

10002230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002230100 is an abundant number, since it is smaller than the sum of its proper divisors (21349207290).

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

10002230100 is a wasteful number, since it uses less digits than its factorization.

10002230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113609 (or 11113599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10002230100 its reverse (103220001), we get a palindrome (10105450101).

The spelling of 10002230100 in words is "ten billion, two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11113589 22227178 33340767 44454356 55567945 66681534 100022301 111135890 133363068 166703835 200044602 222271780 277839725 333407670 400089204 500111505 555679450 666815340 833519175 1000223010 1111358900 1667038350 2000446020 2500557525 3334076700 5001115050 10002230100