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211101331103130 = 235131373950988791
BaseRepresentation
bin101111111111111011011011…
…110110100001110110011010
31000200110002102201122010100110
4233333323123312201312122
5210132141011230300010
62024550340202145150
762315365530621606
oct5777733366416632
91020402381563313
10211101331103130
1161299632009896
121b814a287b21b6
1390a3a01bca750
143a1b504d16506
15196136b769120
hexbffedbda1d9a

211101331103130 has 64 divisors (see below), whose sum is σ = 549598344922368. Its totient is φ = 51584109642240.

The previous prime is 211101331103107. The next prime is 211101331103137. The reversal of 211101331103130 is 31301133101112.

It is a junction number, because it is equal to n+sod(n) for n = 211101331103097 and 211101331103106.

It is not an unprimeable number, because it can be changed into a prime (211101331103137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1975440966 + ... + 1975547825.

It is an arithmetic number, because the mean of its divisors is an integer number (8587474139412).

Almost surely, 2211101331103130 is an apocalyptic number.

211101331103130 is an abundant number, since it is smaller than the sum of its proper divisors (338497013819238).

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

211101331103130 is a wasteful number, since it uses less digits than its factorization.

211101331103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950988951.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 211101331103130 its reverse (31301133101112), we get a palindrome (242402464204242).

The spelling of 211101331103130 in words is "two hundred eleven trillion, one hundred one billion, three hundred thirty-one million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 137 195 274 390 411 685 822 1370 1781 2055 3562 4110 5343 8905 10686 17810 26715 53430 3950988791 7901977582 11852966373 19754943955 23705932746 39509887910 51362854283 59264831865 102725708566 118529663730 154088562849 256814271415 308177125698 513628542830 541285464367 770442814245 1082570928734 1540885628490 1623856393101 2706427321835 3247712786202 5412854643670 7036711036771 8119281965505 14073422073542 16238563931010 21110133110313 35183555183855 42220266220626 70367110367710 105550665551565 211101331103130