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21442330100 = 22527915591741
BaseRepresentation
bin10011111110000011…
…111111110111110100
32001100100112020012002
4103332003333313310
5322403214030400
613503411314432
71356234540632
oct237603776764
961310466162
1021442330100
1191036aaa74
1241a4baba18
1320394576b9
141075a96352
158576c2ed5
hex4fe0ffdf4

21442330100 has 72 divisors (see below), whose sum is σ = 47176147200. Its totient is φ = 8458070400.

The previous prime is 21442330067. The next prime is 21442330103. The reversal of 21442330100 is 103324412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442330103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12315230 + ... + 12316970.

Almost surely, 221442330100 is an apocalyptic number.

21442330100 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 21442330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23588073600).

21442330100 is an abundant number, since it is smaller than the sum of its proper divisors (25733817100).

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

21442330100 is a wasteful number, since it uses less digits than its factorization.

21442330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21442330100 its reverse (103324412), we get a palindrome (21545654512).

The spelling of 21442330100 in words is "twenty-one billion, four hundred forty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1559 1580 1741 1975 3118 3482 3950 6236 6964 7795 7900 8705 15590 17410 31180 34820 38975 43525 77950 87050 123161 137539 155900 174100 246322 275078 492644 550156 615805 687695 1231610 1375390 2463220 2714219 2750780 3079025 3438475 5428438 6158050 6876950 10856876 12316100 13571095 13753900 27142190 54284380 67855475 135710950 214423301 271421900 428846602 857693204 1072116505 2144233010 4288466020 5360582525 10721165050 21442330100