Search a number
-
+
212000110101 = 32136189333757
BaseRepresentation
bin1100010101110000110…
…0001111011000010101
3202021012122121102212200
43011130030033120111
511433134012010401
6241220322035113
721213363126513
oct3053414173025
9667178542780
10212000110101
11819aa59856a
12351064a8a99
1316cb74c1b40
14a391b2b4b3
1557abc17686
hex315c30f615

212000110101 has 48 divisors (see below), whose sum is σ = 338951274480. Its totient is φ = 126880680960.

The previous prime is 212000110039. The next prime is 212000110109. The reversal of 212000110101 is 101011000212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 159481221201 + 52518888900 = 399351^2 + 229170^2 .

It is not a de Polignac number, because 212000110101 - 213 = 212000101909 is a prime.

It is a super-2 number, since 2×2120001101012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000110109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468315 + ... + 802071.

It is an arithmetic number, because the mean of its divisors is an integer number (7061484885).

Almost surely, 2212000110101 is an apocalyptic number.

It is an amenable number.

212000110101 is a deficient number, since it is larger than the sum of its proper divisors (126951164379).

212000110101 is a wasteful number, since it uses less digits than its factorization.

212000110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333926 (or 333923 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212000110101 its reverse (101011000212), we get a palindrome (313011110313).

The spelling of 212000110101 in words is "two hundred twelve billion, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 13 39 61 89 117 183 267 549 793 801 1157 2379 3471 5429 7137 10413 16287 48861 70577 211731 333757 635193 1001271 3003813 4338841 13016523 20359177 29704373 39049569 61077531 89113119 183232593 264669301 267339357 386156849 794007903 1158470547 1811966753 2382023709 3475411641 5435900259 16307700777 23555567789 70666703367 212000110101