Search a number
-
+
21220201000 = 2353101210101
BaseRepresentation
bin10011110000110100…
…101001001000101000
32000202212112220100101
4103300310221020220
5321424332413000
613425354315144
71350566506135
oct236064511050
960685486311
1021220201000
118aaa2830a9
124142728ab4
132002422b6b
14105439358c
15842e46e6a
hex4f0d29228

21220201000 has 64 divisors (see below), whose sum is σ = 50147145360. Its totient is φ = 8404000000.

The previous prime is 21220200931. The next prime is 21220201031. The reversal of 21220201000 is 10202212.

It can be written as a sum of positive squares in 8 ways, for example, as 1290102724 + 19930098276 = 35918^2 + 141174^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051 + ... + 206050.

Almost surely, 221220201000 is an apocalyptic number.

21220201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25073572680).

21220201000 is an abundant number, since it is smaller than the sum of its proper divisors (28926944360).

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

21220201000 is a wasteful number, since it uses less digits than its factorization.

21220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210223 (or 210209 counting only the distinct ones).

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

Adding to 21220201000 its reverse (10202212), we get a palindrome (21230403212).

The spelling of 21220201000 in words is "twenty-one billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 210101 420202 840404 1050505 1680808 2101010 4202020 5252525 8404040 10505050 21010100 21220201 26262625 42020200 42440402 52525250 84880804 105050500 106101005 169761608 210101000 212202010 424404020 530505025 848808040 1061010050 2122020100 2652525125 4244040200 5305050250 10610100500 21220201000