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201101211111220 = 22575980153303749
BaseRepresentation
bin101101101110011010000110…
…010000001000111100110100
3222101001002101011121122120021
4231232122012100020330310
5202324320240021024340
61551412342045214524
760234040324315540
oct5556320620107464
9871032334548507
10201101211111220
11590935a9a7a102
121a67a918861444
1388299bbc4bbc4
1437934c9cb0a20
15183b186022e4a
hexb6e686408f34

201101211111220 has 96 divisors (see below), whose sum is σ = 490831034400000. Its totient is φ = 67779290993664.

The previous prime is 201101211111193. The next prime is 201101211111293. The reversal of 201101211111220 is 22111112101102.

It is a super-2 number, since 2×2011012111112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201101211111194 and 201101211111203.

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, 661911906 + ... + 662215654.

It is an arithmetic number, because the mean of its divisors is an integer number (5112823275000).

Almost surely, 2201101211111220 is an apocalyptic number.

201101211111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101211111220 is an abundant number, since it is smaller than the sum of its proper divisors (289729823288780).

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

201101211111220 is a wasteful number, since it uses less digits than its factorization.

201101211111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383977 (or 383975 counting only the distinct ones).

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

Adding to 201101211111220 its reverse (22111112101102), we get a palindrome (223212323212322).

The spelling of 201101211111220 in words is "two hundred one trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 80153 160306 303749 320612 400765 561071 607498 801530 1122142 1214996 1518745 1603060 2126243 2244284 2805355 3037490 4252486 4729027 5610710 6074980 8504972 9458054 10631215 11221420 17921191 18916108 21262430 23645135 33103189 35842382 42524860 47290270 66206378 71684764 89605955 94580540 125448337 132412756 165515945 179211910 250896674 331031890 358423820 501793348 627241685 662063780 1254483370 2508966740 24346393597 48692787194 97385574388 121731967985 170424755179 243463935970 340849510358 486927871940 681699020716 852123775895 1436437222223 1704247551790 2872874444446 3408495103580 5745748888892 7182186111115 10055060555561 14364372222230 20110121111122 28728744444460 40220242222244 50275302777805 100550605555610 201101211111220