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21320100520 = 23517294723003
BaseRepresentation
bin10011110110110001…
…101110101010101000
32001000211112022201121
4103312301232222220
5322130421204040
613443323425024
71353221602315
oct236661565250
961024468647
1021320100520
119050706094
124170085174
13201a02c9c4
141063759d0c
1584bacbc4a
hex4f6c6eaa8

21320100520 has 128 divisors (see below), whose sum is σ = 53663731200. Its totient is φ = 7584403456.

The previous prime is 21320100511. The next prime is 21320100541. The reversal of 21320100520 is 2500102312.

It is a junction number, because it is equal to n+sod(n) for n = 21320100494 and 21320100503.

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, 915339 + ... + 938341.

It is an arithmetic number, because the mean of its divisors is an integer number (419247900).

Almost surely, 221320100520 is an apocalyptic number.

21320100520 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 21320100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831865600).

21320100520 is an abundant number, since it is smaller than the sum of its proper divisors (32343630680).

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

21320100520 is a wasteful number, since it uses less digits than its factorization.

21320100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23107 (or 23103 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 21320100520 its reverse (2500102312), we get a palindrome (23820202832).

The spelling of 21320100520 in words is "twenty-one billion, three hundred twenty million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 47 58 68 85 94 116 136 145 170 188 232 235 290 340 376 470 493 580 680 799 940 986 1160 1363 1598 1880 1972 2465 2726 3196 3944 3995 4930 5452 6392 6815 7990 9860 10904 13630 15980 19720 23003 23171 27260 31960 46006 46342 54520 92012 92684 115015 115855 184024 185368 230030 231710 391051 460060 463420 667087 782102 920120 926840 1081141 1334174 1564204 1955255 2162282 2668348 3128408 3335435 3910510 4324564 5336696 5405705 6670870 7821020 8649128 10811410 11340479 13341740 15642040 18379397 21622820 22680958 26683480 31353089 36758794 43245640 45361916 56702395 62706178 73517588 90723832 91896985 113404790 125412356 147035176 156765445 183793970 226809580 250824712 313530890 367587940 453619160 533002513 627061780 735175880 1066005026 1254123560 2132010052 2665012565 4264020104 5330025130 10660050260 21320100520