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20241000100 = 22521693119557
BaseRepresentation
bin10010110110011101…
…010010011010100100
31221020122000100020101
4102312131102122210
5312423144000400
613144254513444
71314406443046
oct226635223244
957218010211
1020241000100
118647575a62
123b0a805884
131ba75b8a49
14da02dba96
157d6ec356a
hex4b67526a4

20241000100 has 36 divisors (see below), whose sum is σ = 43949281684. Its totient is φ = 8091550080.

The previous prime is 20241000079. The next prime is 20241000107. The reversal of 20241000100 is 100014202.

It can be written as a sum of positive squares in 6 ways, for example, as 1695462976 + 18545537124 = 41176^2 + 136182^2 .

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 (20241000107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109522 + ... + 229078.

Almost surely, 220241000100 is an apocalyptic number.

20241000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241000100 is an abundant number, since it is smaller than the sum of its proper divisors (23708281584).

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

20241000100 is a wasteful number, since it uses less digits than its factorization.

20241000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121264 (or 121257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20241000100 its reverse (100014202), we get a palindrome (20341014302).

The spelling of 20241000100 in words is "twenty billion, two hundred forty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1693 3386 6772 8465 16930 33860 42325 84650 119557 169300 239114 478228 597785 1195570 2391140 2988925 5977850 11955700 202410001 404820002 809640004 1012050005 2024100010 4048200020 5060250025 10120500050 20241000100