Search a number
-
+
212101101212 = 227111352972303
BaseRepresentation
bin1100010110001000110…
…1011111011010011100
3202021110200122022122012
43011202031133122130
511433340340214322
6241234330410352
721216030420320
oct3054215373234
9667420568565
10212101101212
1181a515a66a0
12351342909b8
13170023c17b0
14a3a12d9980
1557b5a15ae2
hex316235f69c

212101101212 has 48 divisors (see below), whose sum is σ = 498363436032. Its totient is φ = 76280114880.

The previous prime is 212101101209. The next prime is 212101101241.

It can be divided in two parts, 212101 and 101212, that added together give a palindrome (313313).

212101101212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 26482148 + ... + 26490155.

It is an arithmetic number, because the mean of its divisors is an integer number (10382571584).

Almost surely, 2212101101212 is an apocalyptic number.

212101101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212101101212 is an abundant number, since it is smaller than the sum of its proper divisors (286262334820).

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

212101101212 is a wasteful number, since it uses less digits than its factorization.

212101101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52972338 (or 52972336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 212101101212 in words is "two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 52972303 105944606 211889212 370806121 582695333 688639939 741612242 1165390666 1377279878 1483224484 2330781332 2754559756 4078867331 4820479573 7575039329 8157734662 9640959146 15150078658 16315469324 19281918292 30300157316 53025275303 106050550606 212101101212