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21320104040040 = 233513113120944543
BaseRepresentation
bin1001101100011111110010…
…01110100101011001101000
32210111011220201010000020110
410312033321032211121220
510243302033113240130
6113202153125054320
74330220024150031
oct466177116453150
983434821100213
1021320104040040
11687a894a0a053
122483b8b8573a0
13bb86284b2450
14539c81851a88
1526e8b8c28ab0
hex1363f93a5668

21320104040040 has 128 divisors (see below), whose sum is σ = 69489897200640. Its totient is φ = 5201582862336.

The previous prime is 21320104040029. The next prime is 21320104040041. The reversal of 21320104040040 is 4004040102312.

It is a junction number, because it is equal to n+sod(n) for n = 21320104039989 and 21320104040016.

It is not an unprimeable number, because it can be changed into a prime (21320104040041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60295992 + ... + 60648551.

It is an arithmetic number, because the mean of its divisors is an integer number (542889821880).

Almost surely, 221320104040040 is an apocalyptic number.

21320104040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21320104040040 is an abundant number, since it is smaller than the sum of its proper divisors (48169793160600).

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

21320104040040 is a wasteful number, since it uses less digits than its factorization.

21320104040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120944683 (or 120944679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21320104040040 its reverse (4004040102312), we get a palindrome (25324144142352).

The spelling of 21320104040040 in words is "twenty-one trillion, three hundred twenty billion, one hundred four million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 113 120 130 156 195 226 260 312 339 390 452 520 565 678 780 904 1130 1356 1469 1560 1695 2260 2712 2938 3390 4407 4520 5876 6780 7345 8814 11752 13560 14690 17628 22035 29380 35256 44070 58760 88140 176280 120944543 241889086 362833629 483778172 604722715 725667258 967556344 1209445430 1451334516 1572279059 1814168145 2418890860 2902669032 3144558118 3628336290 4716837177 4837781720 6289116236 7256672580 7861395295 9433674354 12578232472 13666733359 14513345160 15722790590 18867348708 23584185885 27333466718 31445581180 37734697416 41000200077 47168371770 54666933436 62891162360 68333666795 82000400154 94336743540 109333866872 136667333590 164000800308 177667533667 188673487080 205001000385 273334667180 328001600616 355335067334 410002000770 533002601001 546669334360 710670134668 820004001540 888337668335 1066005202002 1421340269336 1640008003080 1776675336670 2132010404004 2665013005005 3553350673340 4264020808008 5330026010010 7106701346680 10660052020020 21320104040040