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213220211220 = 223351920781697
BaseRepresentation
bin1100011010010011101…
…0100011101000010100
3202101100200102222222000
43012210322203220110
511443133333224340
6241541345035300
721255536614602
oct3064472435024
9671320388860
10213220211220
11824762835a5
12353a7025b30
1317150203773
14a469bb0872
15582ddc3d30
hex31a4ea3a14

213220211220 has 96 divisors (see below), whose sum is σ = 698265052800. Its totient is φ = 53866156032.

The previous prime is 213220211213. The next prime is 213220211231. The reversal of 213220211220 is 22112022312.

213220211220 is a `hidden beast` number, since 2 + 13 + 220 + 211 + 220 = 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 = 213220211193 and 213220211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10380589 + ... + 10401108.

It is an arithmetic number, because the mean of its divisors is an integer number (7273594300).

Almost surely, 2213220211220 is an apocalyptic number.

213220211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213220211220 is an abundant number, since it is smaller than the sum of its proper divisors (485044841580).

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

213220211220 is a wasteful number, since it uses less digits than its factorization.

213220211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20781734 (or 20781726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213220211220 its reverse (22112022312), we get a palindrome (235332233532).

The spelling of 213220211220 in words is "two hundred thirteen billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 20781697 41563394 62345091 83126788 103908485 124690182 187035273 207816970 249380364 311725455 374070546 394852243 415633940 561105819 623450910 748141092 789704486 935176365 1122211638 1184556729 1246901820 1579408972 1870352730 1974261215 2244423276 2369113458 2805529095 3553670187 3740705460 3948522430 4738226916 5611058190 5922783645 7107340374 7897044860 10661010561 11222116380 11845567290 14214680748 17768350935 21322021122 23691134580 35536701870 42644042244 53305052805 71073403740 106610105610 213220211220