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221011331220 = 223351073825049
BaseRepresentation
bin1100110111010101001…
…1010100100010010100
3210010110122210220101000
43031311103110202110
512110112400044340
6245310423503300
721652603214301
oct3156523244224
9703418726330
10221011331220
1185804153349
1236a002b7b30
1317ac23a0744
14a9a88240a8
155b37dadd30
hex33754d4894

221011331220 has 96 divisors (see below), whose sum is σ = 694017072000. Its totient is φ = 58385532672.

The previous prime is 221011331179. The next prime is 221011331263. The reversal of 221011331220 is 22133110122.

221011331220 is a `hidden beast` number, since 221 + 0 + 113 + 312 + 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 = 221011331193 and 221011331202.

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, 1854745 + ... + 1970304.

It is an arithmetic number, because the mean of its divisors is an integer number (7229344500).

Almost surely, 2221011331220 is an apocalyptic number.

221011331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011331220 is an abundant number, since it is smaller than the sum of its proper divisors (473005740780).

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

221011331220 is a wasteful number, since it uses less digits than its factorization.

221011331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825174 (or 3825166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221011331220 its reverse (22133110122), we get a palindrome (243144441342).

The spelling of 221011331220 in words is "two hundred twenty-one billion, eleven million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780 3825049 7650098 11475147 15300196 19125245 22950294 34425441 38250490 45900588 57375735 68850882 76500980 103276323 114751470 137701764 172127205 206552646 229502940 344254410 409280243 413105292 516381615 688508820 818560486 1032763230 1227840729 1637120972 2046401215 2065526460 2455681458 3683522187 4092802430 4911362916 6139203645 7367044374 8185604860 11050566561 12278407290 14734088748 18417610935 22101133122 24556814580 36835221870 44202266244 55252832805 73670443740 110505665610 221011331220