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30020400100 = 2252300204001
BaseRepresentation
bin11011111101010110…
…101111001111100100
32212111011200100001101
4123331112233033210
5442440210300400
621442521205444
72111635122235
oct337526571744
985434610041
1030020400100
1111805807a19
125999930884
132aa5688672
14164b03908c
15baa80856a
hex6fd5af3e4

30020400100 has 18 divisors (see below), whose sum is σ = 65144268434. Its totient is φ = 12008160000.

The previous prime is 30020400017. The next prime is 30020400107. The reversal of 30020400100 is 100402003.

It can be written as a sum of positive squares in 3 ways, for example, as 6237208576 + 23783191524 = 78976^2 + 154218^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30020400107) 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 5 ways as a sum of consecutive naturals, for example, 150101901 + ... + 150102100.

Almost surely, 230020400100 is an apocalyptic number.

It is an amenable number.

30020400100 is an abundant number, since it is smaller than the sum of its proper divisors (35123868334).

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

30020400100 is a wasteful number, since it uses less digits than its factorization.

30020400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300204015 (or 300204008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 30020400100 its reverse (100402003), we get a palindrome (30120802103).

The spelling of 30020400100 in words is "thirty billion, twenty million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 300204001 600408002 1200816004 1501020005 3002040010 6004080020 7505100025 15010200050 30020400100