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2211131311220 = 22513101332325339
BaseRepresentation
bin100000001011010001101…
…100100100010001110100
321211101022112122201211102
4200023101230210101310
5242211344103424340
64411440225425232
7315514616016326
oct40132154442164
97741275581742
102211131311220
1178280aa87947
122b864749b218
1313067ca65420
147903b063616
153c7b37cd215
hex202d1b24474

2211131311220 has 96 divisors (see below), whose sum is σ = 5051788076160. Its totient is φ = 808059225600.

The previous prime is 2211131311199. The next prime is 2211131311237. The reversal of 2211131311220 is 221131311122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211131311192 and 2211131311201.

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, 87249311 + ... + 87274649.

It is an arithmetic number, because the mean of its divisors is an integer number (52622792460).

Almost surely, 22211131311220 is an apocalyptic number.

2211131311220 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 2211131311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525894038080).

2211131311220 is an abundant number, since it is smaller than the sum of its proper divisors (2840656764940).

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

2211131311220 is a wasteful number, since it uses less digits than its factorization.

2211131311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28785 (or 28783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2211131311220 its reverse (221131311122), we get a palindrome (2432262622342).

The spelling of 2211131311220 in words is "two trillion, two hundred eleven billion, one hundred thirty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 3323 5252 6565 6646 13130 13292 16615 25339 26260 33230 43199 50678 66460 86398 101356 126695 172796 215995 253390 329407 335623 431990 506780 658814 671246 863980 1317628 1342492 1647035 1678115 2559239 3294070 3356230 4363099 5118478 6588140 6712460 8726198 10236956 12796195 17452396 21815495 25592390 33270107 43630990 51184780 66540214 84201497 87261980 133080428 166350535 168402994 332701070 336805988 421007485 665402140 842014970 1094619461 1684029940 2189238922 4378477844 5473097305 8504351197 10946194610 17008702394 21892389220 34017404788 42521755985 85043511970 110556565561 170087023940 221113131122 442226262244 552782827805 1105565655610 2211131311220