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211013102313112 = 2311345674339207
BaseRepresentation
bin101111111110101001010001…
…000000011001111010011000
31000200010122200220121012112211
4233332221101000121322120
5210124214313143004422
62024442025253044504
762306123246363551
oct5776512100317230
91020118626535484
10211013102313112
1161265177179000
121b7bb905026734
1390985b1028218
143a17135359328
15195de05b5a577
hexbfea51019e98

211013102313112 has 64 divisors (see below), whose sum is σ = 435280187082240. Its totient is φ = 95894022644640.

The previous prime is 211013102313073. The next prime is 211013102313133. The reversal of 211013102313112 is 211313201310112.

211013102313112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46459813 + ... + 50799019.

It is an arithmetic number, because the mean of its divisors is an integer number (6801252923160).

Almost surely, 2211013102313112 is an apocalyptic number.

211013102313112 is a gapful number since it is divisible by the number (22) 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 211013102313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217640093541120).

211013102313112 is an abundant number, since it is smaller than the sum of its proper divisors (224267084769128).

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

211013102313112 is a wasteful number, since it uses less digits than its factorization.

211013102313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343813 (or 4343787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 211013102313112 its reverse (211313201310112), we get a palindrome (422326303623224).

The spelling of 211013102313112 in words is "two hundred eleven trillion, thirteen billion, one hundred two million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 4567 5324 9134 10648 18268 36536 50237 100474 200948 401896 552607 1105214 2210428 4339207 4420856 6078677 8678414 12157354 17356828 24314708 34713656 47731277 48629416 95462554 190925108 381850216 525044047 1050088094 2100176188 4200352376 5775484517 11550969034 19817158369 23101938068 39634316738 46203876136 79268633476 158537266952 217988742059 435977484118 871954968236 1743909936472 2397876162649 4795752325298 9591504650596 19183009301192 26376637789139 52753275578278 105506551156556 211013102313112