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21220221211020 = 223251354311166973
BaseRepresentation
bin1001101001100101101111…
…01111110101000110001100
32210010122002200221120100200
410310302313233311012030
510240133003112223040
6113044233545253500
74320052602130626
oct464626757650614
983118080846320
1021220221211020
116841499733277
122468755194290
13bac09b049060
145350c81b1c16
1526bebee36630
hex134cb7bf518c

21220221211020 has 144 divisors (see below), whose sum is σ = 69321080791872. Its totient is φ = 5223311608320.

The previous prime is 21220221210967. The next prime is 21220221211043. The reversal of 21220221211020 is 2011212202212.

It is a happy number.

21220221211020 is a `hidden beast` number, since 212 + 2 + 0 + 221 + 211 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220221210984 and 21220221211002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127004254 + ... + 127171226.

It is an arithmetic number, because the mean of its divisors is an integer number (481396394388).

Almost surely, 221220221211020 is an apocalyptic number.

21220221211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220221211020 is an abundant number, since it is smaller than the sum of its proper divisors (48100859580852).

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

21220221211020 is a wasteful number, since it uses less digits than its factorization.

21220221211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221312 (or 221307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220221211020 its reverse (2011212202212), we get a palindrome (23231433413232).

The spelling of 21220221211020 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 54311 108622 162933 166973 217244 271555 325866 333946 488799 500919 543110 651732 667892 706043 814665 834865 977598 1001838 1086220 1412086 1502757 1629330 1669730 1955196 2003676 2118129 2170649 2443995 2504595 2824172 3005514 3258660 3339460 3530215 4236258 4341298 4887990 5009190 6011028 6354387 6511947 7060430 7513785 8472516 8682596 9775980 10018380 10590645 10853245 12708774 13023894 14120860 15027570 19535841 21181290 21706490 25417548 26047788 30055140 31771935 32559735 39071682 42362580 43412980 63543870 65119470 78143364 97679205 127087740 130238940 195358410 390716820 9068470603 18136941206 27205411809 36273882412 45342353015 54410823618 81616235427 90684706030 108821647236 117890117839 136027059045 163232470854 181369412060 235780235678 272054118090 326464941708 353670353517 408081177135 471560471356 544108236180 589450589195 707340707034 816162354270 1061011060551 1178901178390 1414681414068 1632324708540 1768351767585 2122022121102 2357802356780 3536703535170 4244044242204 5305055302755 7073407070340 10610110605510 21220221211020