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21520040301020 = 22531591094953731
BaseRepresentation
bin1001110010010100001100…
…10110111001000111011100
32211012021222121110102020102
410321022012112321013130
510310041020304113040
6113434100421040232
74350525442265012
oct471120626710734
984167877412212
1021520040301020
1169476637a6178
1224b6889b56078
13c0143c545811
1454580b2a08b2
15274bbb7ac515
hex1392865b91dc

21520040301020 has 96 divisors (see below), whose sum is σ = 47445785856000. Its totient is φ = 8188245676800.

The previous prime is 21520040300923. The next prime is 21520040301031. The reversal of 21520040301020 is 2010304002512.

It is a super-2 number, since 2×215200403010202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21520040300983 and 21520040301001.

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, 400487555 + ... + 400541285.

It is an arithmetic number, because the mean of its divisors is an integer number (494226936000).

Almost surely, 221520040301020 is an apocalyptic number.

21520040301020 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 21520040301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23722892928000).

21520040301020 is an abundant number, since it is smaller than the sum of its proper divisors (25925745554980).

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

21520040301020 is a wasteful number, since it uses less digits than its factorization.

21520040301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64779 (or 64777 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21520040301020 its reverse (2010304002512), we get a palindrome (23530344303532).

The spelling of 21520040301020 in words is "twenty-one trillion, five hundred twenty billion, forty million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 10949 18290 21898 36580 43796 53731 54745 107462 109490 214924 218980 268655 339419 537310 645991 678838 1074620 1291982 1357676 1665661 1697095 2583964 3170129 3229955 3331322 3394190 6340258 6459910 6662644 6788380 8328305 12680516 12919820 15850645 16656610 20025721 31701290 33313220 40051442 63402580 80102884 98273999 100128605 196547998 200257210 393095996 400514420 491369995 588300719 982739990 1176601438 1965479980 2353202876 2941503595 5883007190 11766014380 18237322289 34709742421 36474644578 69419484842 72949289156 91186611445 138838969684 173548712105 182373222890 347097424210 364746445780 694194848420 1076002015051 2152004030102 4304008060204 5380010075255 10760020150510 21520040301020