Search a number
-
+
212111132101 = 112910921132887
BaseRepresentation
bin1100010110001011001…
…1110000010111000101
3202021111101111221102121
43011202303300113011
511433400422211401
6241235325405541
721216211606021
oct3054263602705
9667441457377
10212111132101
1181a57227a90
12351377098b1
13170044c442b
14a3a278b381
1557b6847ca1
hex3162cf05c5

212111132101 has 32 divisors (see below), whose sum is σ = 241767187200. Its totient is φ = 184319815680.

The previous prime is 212111132099. The next prime is 212111132113. The reversal of 212111132101 is 101231111212.

It is a happy number.

It is not a de Polignac number, because 212111132101 - 21 = 212111132099 is a prime.

It is a super-2 number, since 2×2121111321012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111132171) 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, 73469680 + ... + 73472566.

It is an arithmetic number, because the mean of its divisors is an integer number (7555224600).

Almost surely, 2212111132101 is an apocalyptic number.

It is an amenable number.

212111132101 is a deficient number, since it is larger than the sum of its proper divisors (29656055099).

212111132101 is a wasteful number, since it uses less digits than its factorization.

212111132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 212111132101 its reverse (101231111212), we get a palindrome (313342243313).

The spelling of 212111132101 in words is "two hundred twelve billion, one hundred eleven million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 11 29 109 319 1199 2113 2887 3161 23243 31757 34771 61277 83723 230317 314683 674047 920953 2533487 3461513 6100231 6679193 9125807 67102541 73471123 100383877 176906699 664925179 1945973689 7314176969 19282830191 212111132101