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21013124440 = 23571123932851
BaseRepresentation
bin10011100100011110…
…101101010101011000
32000020102220022201011
4103210132231111120
5321013324440230
613353040103304
71342503416320
oct234436552530
960212808634
1021013124440
118a033a7450
1240a5304b34
131c9b55b859
141034a8c280
1582eb90e2a
hex4e47ad558

21013124440 has 128 divisors (see below), whose sum is σ = 58991224320. Its totient is φ = 6544512000.

The previous prime is 21013124411. The next prime is 21013124477. The reversal of 21013124440 is 4442131012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7369015 + ... + 7371865.

It is an arithmetic number, because the mean of its divisors is an integer number (460868940).

Almost surely, 221013124440 is an apocalyptic number.

21013124440 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 21013124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29495612160).

21013124440 is an abundant number, since it is smaller than the sum of its proper divisors (37978099880).

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

21013124440 is a wasteful number, since it uses less digits than its factorization.

21013124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21013124440 its reverse (4442131012), we get a palindrome (25455255452).

The spelling of 21013124440 in words is "twenty-one billion, thirteen million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2393 2851 3080 4786 5702 9572 11404 11965 14255 16751 19144 19957 22808 23930 26323 28510 31361 33502 39914 47860 52646 57020 62722 67004 79828 83755 95720 99785 105292 114040 125444 131615 134008 156805 159656 167510 184261 199570 210584 219527 250888 263230 313610 335020 368522 399140 439054 526460 627220 670040 737044 798280 878108 921305 1052920 1097635 1254440 1474088 1756216 1842610 2195270 3685220 4390540 6822443 7370440 8781080 13644886 27289772 34112215 47757101 54579544 68224430 75046873 95514202 136448860 150093746 191028404 238785505 272897720 300187492 375234365 382056808 477571010 525328111 600374984 750468730 955142020 1050656222 1500937460 1910284040 2101312444 2626640555 3001874920 4202624888 5253281110 10506562220 21013124440