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21124220223340 = 22513974991678553
BaseRepresentation
bin1001100110110010111011…
…01001000111111101101100
32202210110022020011002201101
410303121131221013331230
510232044400334121330
6112532155515052444
74310113604163313
oct463313551077554
982713266132641
1021124220223340
116804805677333
122452022741124
13ba300bba35c0
145305bc2c927a
15269751d294ca
hex13365da47f6c

21124220223340 has 96 divisors (see below), whose sum is σ = 48362497848000. Its totient is φ = 7703828545536.

The previous prime is 21124220223257. The next prime is 21124220223367. The reversal of 21124220223340 is 4332202242112.

It is a junction number, because it is equal to n+sod(n) for n = 21124220223299 and 21124220223308.

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, 11745504 + ... + 13424056.

It is an arithmetic number, because the mean of its divisors is an integer number (503776019250).

Almost surely, 221124220223340 is an apocalyptic number.

21124220223340 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 21124220223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24181248924000).

21124220223340 is an abundant number, since it is smaller than the sum of its proper divisors (27238277624660).

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

21124220223340 is a wasteful number, since it uses less digits than its factorization.

21124220223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679171 (or 1679169 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21124220223340 its reverse (4332202242112), we get a palindrome (25456422465452).

The spelling of 21124220223340 in words is "twenty-one trillion, one hundred twenty-four billion, two hundred twenty million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 499 970 998 1261 1940 1996 2495 2522 4990 5044 6305 6487 9980 12610 12974 25220 25948 32435 48403 64870 96806 129740 193612 242015 484030 629239 968060 1258478 1678553 2516956 3146195 3357106 6292390 6714212 8392765 12584780 16785530 21821189 33571060 43642378 87284756 109105945 162819641 218211890 325639282 436423780 651278564 814098205 837597947 1628196410 1675195894 2116655333 3256392820 3350391788 4187989735 4233310666 8375979470 8466621332 10583276665 10888773311 16751958940 21166553330 21777546622 42333106660 43555093244 54443866555 81247000859 108887733110 162494001718 217775466220 324988003436 406235004295 812470008590 1056211011167 1624940017180 2112422022334 4224844044668 5281055055835 10562110111670 21124220223340