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21001100022 = 2327228384137
BaseRepresentation
bin10011100011110000…
…110101101011110110
32000012121021102022100
4103203300311223312
5321002240200042
613351530242530
71342266255600
oct234360655366
960177242270
1021001100022
1189a7634311
1240a1286446
131c98c0b706
14103323c170
1582dab824c
hex4e3c35af6

21001100022 has 72 divisors (see below), whose sum is σ = 53119011816. Its totient is φ = 5979040704.

The previous prime is 21001100017. The next prime is 21001100023. The reversal of 21001100022 is 22000110012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21001099977 and 21001100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001100023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207538 + ... + 291674.

It is an arithmetic number, because the mean of its divisors is an integer number (737764053).

Almost surely, 221001100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26559505908).

21001100022 is an abundant number, since it is smaller than the sum of its proper divisors (32117911794).

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

21001100022 is a wasteful number, since it uses less digits than its factorization.

21001100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84442 (or 84432 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21001100022 its reverse (22000110012), we get a palindrome (43001210034).

The spelling of 21001100022 in words is "twenty-one billion, one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 283 294 441 566 849 882 1698 1981 2547 3962 5094 5943 11886 13867 17829 27734 35658 41601 83202 84137 124803 168274 249606 252411 504822 588959 757233 1177918 1514466 1766877 3533754 4122713 5300631 8245426 10601262 12368139 23810771 24736278 37104417 47621542 71432313 74208834 142864626 166675397 214296939 333350794 428593878 500026191 1000052382 1166727779 1500078573 2333455558 3000157146 3500183337 7000366674 10500550011 21001100022