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312414211443202 = 21128399715600631
BaseRepresentation
bin100011100001000111001101…
…0000110001000101000000010
31111222011111200112221011202121
41013002032122012020220002
5311422043301112140302
63024241035111034454
7122543116253616451
oct10702163206105002
91458144615834677
10312414211443202
11905aa139813300
122b057b7336ba2a
13105426c27a460b
145720cddbb0b98
15261b925b25e37
hex11c239a188a02

312414211443202 has 48 divisors (see below), whose sum is σ = 521825040547776. Its totient is φ = 140154811869600.

The previous prime is 312414211443197. The next prime is 312414211443223. The reversal of 312414211443202 is 202344112414213.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12225427 + ... + 27826057.

It is an arithmetic number, because the mean of its divisors is an integer number (10871355011412).

Almost surely, 2312414211443202 is an apocalyptic number.

312414211443202 is a deficient number, since it is larger than the sum of its proper divisors (209410829104574).

312414211443202 is a wasteful number, since it uses less digits than its factorization.

312414211443202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15601735 (or 15601724 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 312414211443202 its reverse (202344112414213), we get a palindrome (514758323857415).

The spelling of 312414211443202 in words is "three hundred twelve trillion, four hundred fourteen billion, two hundred eleven million, four hundred forty-three thousand, two hundred two".

Divisors: 1 2 11 22 83 121 166 242 913 997 1826 1994 10043 10967 20086 21934 82751 120637 165502 241274 910261 1820522 10012871 15600631 20025742 31201262 171606941 343213882 1294852373 1887676351 2589704746 3775352702 14243376103 15553829107 28486752206 31107658214 156677137133 171092120177 313354274266 342184240354 1290967815881 1882013321947 2581935631762 3764026643894 14200645974691 28401291949382 156207105721601 312414211443202