Search a number
-
+
21021000100 = 2252210210001
BaseRepresentation
bin10011100100111100…
…110000000110100100
32000020222201110002021
4103210330300012210
5321022334000400
613353520552524
71342630360402
oct234474600644
960228643067
1021021000100
118a07896561
1240a7a82744
131ca00884c9
141035b3c472
158306e971a
hex4e4f301a4

21021000100 has 18 divisors (see below), whose sum is σ = 45615570434. Its totient is φ = 8408400000.

The previous prime is 21021000073. The next prime is 21021000103. The reversal of 21021000100 is 100012012.

It can be written as a sum of positive squares in 3 ways, for example, as 7119646884 + 13901353216 = 84378^2 + 117904^2 .

It is not an unprimeable number, because it can be changed into a prime (21021000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105104901 + ... + 105105100.

Almost surely, 221021000100 is an apocalyptic number.

21021000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021000100 is an abundant number, since it is smaller than the sum of its proper divisors (24594570334).

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

21021000100 is a wasteful number, since it uses less digits than its factorization.

21021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210210015 (or 210210008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21021000100 its reverse (100012012), we get a palindrome (21121012112).

The spelling of 21021000100 in words is "twenty-one billion, twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 210210001 420420002 840840004 1051050005 2102100010 4204200020 5255250025 10510500050 21021000100