Search a number
-
+
212132022301 = 17194777318077
BaseRepresentation
bin1100010110010000001…
…1011100100000011101
3202021112211211021101201
43011210003130200131
511433421244203201
6241241353235501
721216554303263
oct3054403344035
9667484737351
10212132022301
1181a67aa6111
1235142702b91
1317008929ab4
14a3a5468433
1557b85c2801
hex31640dc81d

212132022301 has 32 divisors (see below), whose sum is σ = 241788188160. Its totient is φ = 184871494656.

The previous prime is 212132022247. The next prime is 212132022331. The reversal of 212132022301 is 103220231212.

It is a cyclic number.

It is not a de Polignac number, because 212132022301 - 27 = 212132022173 is a prime.

It is a super-2 number, since 2×2121320223012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132022331) 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, 11725875 + ... + 11743951.

It is an arithmetic number, because the mean of its divisors is an integer number (7555880880).

Almost surely, 2212132022301 is an apocalyptic number.

It is an amenable number.

212132022301 is a deficient number, since it is larger than the sum of its proper divisors (29656165859).

212132022301 is a wasteful number, since it uses less digits than its factorization.

212132022301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933.

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

Adding to 212132022301 its reverse (103220231212), we get a palindrome (315352253513).

The spelling of 212132022301 in words is "two hundred twelve billion, one hundred thirty-two million, twenty-two thousand, three hundred one".

Divisors: 1 17 19 47 323 773 799 893 13141 14687 15181 18077 36331 249679 307309 343463 617627 690289 849619 5838871 11734913 13973521 14443523 16142761 237549857 265496899 274426937 656755487 4513447283 11164843279 12478354253 212132022301