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212435252201 = 3147145803193
BaseRepresentation
bin1100010111011000100…
…0001011001111101001
3202022022222101221121202
43011312020023033221
511440031411032301
6241331424413545
721230225564414
oct3056610131751
9668288357552
10212435252201
1182103186237
12352081772b5
13170566b8a83
14a3d383cb7b
1557d501d66b
hex317620b3e9

212435252201 has 8 divisors (see below), whose sum is σ = 223953705984. Its totient is φ = 201208404960.

The previous prime is 212435252191. The next prime is 212435252233. The reversal of 212435252201 is 102252534212.

It is a happy number.

212435252201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212435252201 - 230 = 211361510377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212435257201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72900140 + ... + 72903053.

It is an arithmetic number, because the mean of its divisors is an integer number (27994213248).

Almost surely, 2212435252201 is an apocalyptic number.

It is an amenable number.

212435252201 is a deficient number, since it is larger than the sum of its proper divisors (11518453783).

212435252201 is a wasteful number, since it uses less digits than its factorization.

212435252201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145803271.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 212435252201 its reverse (102252534212), we get a palindrome (314687786413).

The spelling of 212435252201 in words is "two hundred twelve billion, four hundred thirty-five million, two hundred fifty-two thousand, two hundred one".

Divisors: 1 31 47 1457 145803193 4519898983 6852750071 212435252201