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21222101000 = 235353400417
BaseRepresentation
bin10011110000111011…
…111001000000001000
32000210000010102122202
4103300323321000020
5321430324213000
613425503135332
71350621611402
oct236073710010
960700112582
1021222101000
119000360651
1241432a4548
132002939919
141054729b72
158431bedd5
hex4f0ef9008

21222101000 has 64 divisors (see below), whose sum is σ = 50596818480. Its totient is φ = 8328652800.

The previous prime is 21222100981. The next prime is 21222101003. The reversal of 21222101000 is 10122212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2615504164 + 18606596836 = 51142^2 + 136406^2 .

It is not an unprimeable number, because it can be changed into a prime (21222101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147209 + ... + 253208.

Almost surely, 221222101000 is an apocalyptic number.

21222101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222101000 is an abundant number, since it is smaller than the sum of its proper divisors (29374717480).

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

21222101000 is a wasteful number, since it uses less digits than its factorization.

21222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400491 (or 400477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21222101000 its reverse (10122212), we get a palindrome (21232223212).

The spelling of 21222101000 in words is "twenty-one billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 400417 800834 1601668 2002085 3203336 4004170 8008340 10010425 16016680 20020850 21222101 40041700 42444202 50052125 80083400 84888404 100104250 106110505 169776808 200208500 212221010 400417000 424442020 530552525 848884040 1061105050 2122210100 2652762625 4244420200 5305525250 10611050500 21222101000