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21141241100 = 22527219227081
BaseRepresentation
bin10011101100000111…
…011011110100001100
32000120100222022201122
4103230013123310030
5321244124203400
613413454100112
71345620404300
oct235407336414
960510868648
1021141241100
118a69752391
1241201aa638
131cbbc68025
141047abbd00
1583b04b685
hex4ec1dbd0c

21141241100 has 108 divisors (see below), whose sum is σ = 56175545160. Its totient is φ = 6866899200.

The previous prime is 21141241091. The next prime is 21141241111. The reversal of 21141241100 is 114214112.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20441 + ... + 206640.

Almost surely, 221141241100 is an apocalyptic number.

21141241100 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 21141241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087772580).

21141241100 is an abundant number, since it is smaller than the sum of its proper divisors (35034304060).

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

21141241100 is a wasteful number, since it uses less digits than its factorization.

21141241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227128 (or 227114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21141241100 its reverse (114214112), we get a palindrome (21255455212).

The spelling of 21141241100 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1862 1900 2450 2660 3325 3724 4655 4900 6650 9310 13300 18620 23275 46550 93100 227081 454162 908324 1135405 1589567 2270810 3179134 4314539 4541620 5677025 6358268 7947835 8629078 11126969 11354050 15895670 17258156 21572695 22253938 22708100 30201773 31791340 39739175 43145390 44507876 55634845 60403546 79478350 86290780 107863475 111269690 120807092 151008865 158956700 211412411 215726950 222539380 278174225 302017730 422824822 431453900 556348450 604035460 755044325 845649644 1057062055 1112696900 1510088650 2114124110 3020177300 4228248220 5285310275 10570620550 21141241100