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21201441140 = 22511596724379
BaseRepresentation
bin10011101111101101…
…000101000101110100
32000201120020210122202
4103233231011011310
5321410032104030
613423444244032
71350251163515
oct235755050564
960646223582
1021201441140
118a9a72a590
1241383a0618
131ccb585059
141051aaca0c
1584148d745
hex4efb45174

21201441140 has 96 divisors (see below), whose sum is σ = 50133081600. Its totient is φ = 7465518720.

The previous prime is 21201441119. The next prime is 21201441179. The reversal of 21201441140 is 4114410212.

It is a super-2 number, since 2×212014411402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857471 + ... + 881849.

It is an arithmetic number, because the mean of its divisors is an integer number (522219600).

Almost surely, 221201441140 is an apocalyptic number.

21201441140 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 21201441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25066540800).

21201441140 is an abundant number, since it is smaller than the sum of its proper divisors (28931640460).

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

21201441140 is a wasteful number, since it uses less digits than its factorization.

21201441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24525 (or 24523 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21201441140 its reverse (4114410212), we get a palindrome (25315851352).

The spelling of 21201441140 in words is "twenty-one billion, two hundred one million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 67 110 118 134 220 236 268 295 335 590 649 670 737 1180 1298 1340 1474 2596 2948 3245 3685 3953 6490 7370 7906 12980 14740 15812 19765 24379 39530 43483 48758 79060 86966 97516 121895 173932 217415 243790 268169 434830 487580 536338 869660 1072676 1340845 1438361 1633393 2681690 2876722 3266786 5363380 5753444 6533572 7191805 8166965 14383610 15821971 16333930 17967323 28767220 31643942 32667860 35934646 63287884 71869292 79109855 89836615 96370187 158219710 179673230 192740374 316439420 359346460 385480748 481850935 963701870 1060072057 1927403740 2120144114 4240288228 5300360285 10600720570 21201441140