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21021140140 = 225721113150001
BaseRepresentation
bin10011100100111101…
…010010010010101100
32000020222222120011221
4103210331102102230
5321022402441030
613353523553124
71342631512600
oct234475222254
960228876157
1021021140140
118a079817a0
1240a7b2b7a4
131ca0107180
141035b77500
15830725e7a
hex4e4f524ac

21021140140 has 144 divisors (see below), whose sum is σ = 60329604384. Its totient is φ = 6048000000.

The previous prime is 21021140131. The next prime is 21021140159. The reversal of 21021140140 is 4104112012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65140 + ... + 215140.

It is an arithmetic number, because the mean of its divisors is an integer number (418955586).

Almost surely, 221021140140 is an apocalyptic number.

21021140140 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 21021140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164802192).

21021140140 is an abundant number, since it is smaller than the sum of its proper divisors (39308464244).

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

21021140140 is a wasteful number, since it uses less digits than its factorization.

21021140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150048 (or 150039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021140140 its reverse (4104112012), we get a palindrome (25125252152).

It can be divided in two parts, 21021 and 140140, that added together give a palindrome (161161).

The spelling of 21021140140 in words is "twenty-one billion, twenty-one million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 150001 300002 600004 750005 1050007 1500010 1650011 1950013 2100014 3000020 3300022 3900026 4200028 5250035 6600044 7350049 7800052 8250055 9750065 10500070 11550077 13650091 14700098 16500110 19500130 21000140 21450143 23100154 27300182 29400196 33000220 36750245 39000260 42900286 46200308 54600364 57750385 68250455 73500490 80850539 85800572 95550637 107250715 115500770 136500910 147000980 150151001 161701078 191101274 214501430 231001540 273001820 300302002 323402156 382202548 404252695 429002860 477753185 600604004 750755005 808505390 955506370 1051057007 1501510010 1617010780 1911012740 2102114014 3003020020 4204228028 5255285035 10510570070 21021140140