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221111102010020 = 225195919794983439
BaseRepresentation
bin110010010001100101110000…
…101100001111001010100100
31001222220000101212112212122012
4302101211300230033022210
5212440141014103310040
62102133012111453352
764400515142523215
oct6221456054171244
91058800355485565
10221111102010020
11644a8767803872
1220970990827258
13964b8c2440b81
143c85b979b140c
151a869193b5865
hexc91970b0f2a4

221111102010020 has 96 divisors (see below), whose sum is σ = 497307444480000. Its totient is φ = 82327671520128.

The previous prime is 221111102010011. The next prime is 221111102010053. The reversal of 221111102010020 is 20010201111122.

It is a junction number, because it is equal to n+sod(n) for n = 221111102009977 and 221111102010004.

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, 41877461 + ... + 46860899.

It is an arithmetic number, because the mean of its divisors is an integer number (5180285880000).

Almost surely, 2221111102010020 is an apocalyptic number.

221111102010020 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 221111102010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248653722240000).

221111102010020 is an abundant number, since it is smaller than the sum of its proper divisors (276196342469980).

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

221111102010020 is a wasteful number, since it uses less digits than its factorization.

221111102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985505 (or 4985503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221111102010020 its reverse (20010201111122), we get a palindrome (241121303121142).

The spelling of 221111102010020 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 1979 2242 3958 4484 5605 7916 9895 11210 19790 22420 37601 39580 75202 116761 150404 188005 233522 376010 467044 583805 752020 1167610 2218459 2335220 4436918 4983439 8873836 9966878 11092295 19933756 22184590 24917195 44369180 49834390 94685341 99668780 189370682 294022901 378741364 473426705 588045802 946853410 1176091604 1470114505 1893706820 2940229010 5586435119 5880458020 9862225781 11172870238 19724451562 22345740476 27932175595 39448903124 49311128905 55864351190 98622257810 111728702380 187382289839 197244515620 374764579678 581871321079 749529159356 936911449195 1163742642158 1873822898390 2327485284316 2909356605395 3747645796780 5818713210790 11055555100501 11637426421580 22111110201002 44222220402004 55277775502505 110555551005010 221111102010020