Search a number
-
+
212303122213 = 71323283358427
BaseRepresentation
bin1100010110111001000…
…0001000111100100101
3202021222202210001100111
43011232100020330211
511434244044402323
6241310344413021
721224032522660
oct3055620107445
9667882701314
10212303122213
1182045639aa6
123518ba77171
1317035205950
14a3c00866d7
1557c861dc0d
hex316e408f25

212303122213 has 32 divisors (see below), whose sum is σ = 273621067776. Its totient is φ = 160104593088.

The previous prime is 212303122189. The next prime is 212303122217. The reversal of 212303122213 is 312221303212.

It is a cyclic number.

It is not a de Polignac number, because 212303122213 - 221 = 212301025061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212303122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413106 + ... + 771532.

It is an arithmetic number, because the mean of its divisors is an integer number (8550658368).

Almost surely, 2212303122213 is an apocalyptic number.

212303122213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212303122213 is a deficient number, since it is larger than the sum of its proper divisors (61317945563).

212303122213 is a wasteful number, since it uses less digits than its factorization.

212303122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358753.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212303122213 its reverse (312221303212), we get a palindrome (524524425425).

The spelling of 212303122213 in words is "two hundred twelve billion, three hundred three million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 7 13 23 91 161 283 299 1981 2093 3679 6509 25753 45563 84617 358427 592319 2508989 4659551 8243821 32616857 57706747 101434841 107169673 710043887 750187711 1318652933 2333001343 9230570531 16331009401 30329017459 212303122213