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212210110101104 = 24193136481344117
BaseRepresentation
bin110000010000000100000100…
…001110101111011001110000
31000211101002101102221012022022
4300100010010032233121300
5210303322301141213404
62031155551224131012
762461450232611463
oct6020040416573160
91024332342835268
10212210110101104
1161686890933a05
121b9738a8606a68
13915443472747b
143a5904a3072da
151980112cde8be
hexc101043af670

212210110101104 has 80 divisors (see below), whose sum is σ = 434247927499680. Its totient is φ = 100183674839040.

The previous prime is 212210110101091. The next prime is 212210110101109. The reversal of 212210110101104 is 401101011012212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210110101109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616508054 + ... + 616852170.

It is an arithmetic number, because the mean of its divisors is an integer number (5428099093746).

Almost surely, 2212210110101104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210110101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217123963749840).

212210110101104 is an abundant number, since it is smaller than the sum of its proper divisors (222037817398576).

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

212210110101104 is a wasteful number, since it uses less digits than its factorization.

212210110101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350938 (or 350932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212210110101104 its reverse (401101011012212), we get a palindrome (613311121113316).

The spelling of 212210110101104 in words is "two hundred twelve trillion, two hundred ten billion, one hundred ten million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 313 626 1252 2504 5008 5947 6481 11894 12962 23788 25924 47576 51848 95152 103696 123139 246278 344117 492556 688234 985112 1376468 1970224 2028553 2752936 4057106 5505872 6538223 8114212 13076446 16228424 26152892 32456848 38542507 52305784 77085014 104611568 107708621 154170028 215417242 308340056 430834484 616680112 861668968 1723337936 2046463799 2230222277 4092927598 4460444554 8185855196 8920889108 16371710392 17841778216 32743420784 35683556432 42374223263 84748446526 169496893052 338993786104 677987572208 698059572701 1396119145402 2792238290804 5584476581608 11168953163216 13263131881319 26526263762638 53052527525276 106105055050552 212210110101104