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20241324100 = 2252449450809
BaseRepresentation
bin10010110110011110…
…100001100001000100
31221020122121210200101
4102312132201201010
5312423234332400
613144305453444
71314412262464
oct226636414104
957218553611
1020241324100
118647777428
123b0a941284
131ba76a036a
14da0383ba4
157d703956a
hex4b67a1844

20241324100 has 36 divisors (see below), whose sum is σ = 44021596500. Its totient is φ = 8078479360.

The previous prime is 20241324083. The next prime is 20241324113. The reversal of 20241324100 is 142314202.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 20241321984 = 46^2 + 142272^2 .

It is a super-2 number, since 2×202413241002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180505 + ... + 270304.

It is an arithmetic number, because the mean of its divisors is an integer number (1222822125).

Almost surely, 220241324100 is an apocalyptic number.

20241324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241324100 is an abundant number, since it is smaller than the sum of its proper divisors (23780272400).

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

20241324100 is a wasteful number, since it uses less digits than its factorization.

20241324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451272 (or 451265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20241324100 its reverse (142314202), we get a palindrome (20383638302).

The spelling of 20241324100 in words is "twenty billion, two hundred forty-one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 449 898 1796 2245 4490 8980 11225 22450 44900 450809 901618 1803236 2254045 4508090 9016180 11270225 22540450 45080900 202413241 404826482 809652964 1012066205 2024132410 4048264820 5060331025 10120662050 20241324100