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212322201301 = 72173759311617
BaseRepresentation
bin1100010110111101100…
…0111010111011010101
3202022001002200100221101
43011233120322323111
511434313440420201
6241312305350101
721224353635100
oct3055730727325
9668032610841
10212322201301
1182055390441
1235196338331
1317039155b52
14a3c2811737
1557ca13bd01
hex316f63aed5

212322201301 has 48 divisors (see below), whose sum is σ = 269059774896. Its totient is φ = 166360449024.

The previous prime is 212322201263. The next prime is 212322201307. The reversal of 212322201301 is 103102223212.

It can be written as a sum of positive squares in 8 ways, for example, as 25512395076 + 186809806225 = 159726^2 + 432215^2 .

It is not a de Polignac number, because 212322201301 - 29 = 212322200789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212322201307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18271045 + ... + 18282661.

It is an arithmetic number, because the mean of its divisors is an integer number (5605411977).

Almost surely, 2212322201301 is an apocalyptic number.

It is an amenable number.

212322201301 is a deficient number, since it is larger than the sum of its proper divisors (56737573595).

212322201301 is a wasteful number, since it uses less digits than its factorization.

212322201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212322201301 its reverse (103102223212), we get a palindrome (315424424513).

The spelling of 212322201301 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred one thousand, three hundred one".

Divisors: 1 7 17 37 49 119 259 593 629 833 1813 4151 4403 10081 11617 21941 29057 30821 70567 81319 153587 197489 372997 429829 493969 569233 1075109 1382423 2610979 3008803 6888881 7307093 9676961 18276853 21061621 48222167 51149651 117110977 254888597 337555169 358047557 819776839 1784220179 4333106149 5738437873 12489541253 30331743043 212322201301