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6312131200221 = 3711311914614971
BaseRepresentation
bin101101111011010100001…
…0101101000010011011101
3211100102201021110101212020
41123312220111220103131
51311404221041401341
621231430353530353
71221015331640310
oct133665025502335
924312637411766
106312131200221
112013a61561a60
1285b3bbb739b9
1336a30156c092
1417b71a142977
15ae2d6681566
hex5bda85684dd

6312131200221 has 64 divisors (see below), whose sum is σ = 10888084979712. Its totient is φ = 3156639480000.

The previous prime is 6312131200187. The next prime is 6312131200259. The reversal of 6312131200221 is 1220021312136.

It is not a de Polignac number, because 6312131200221 - 27 = 6312131200093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6312131200191 and 6312131200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312131200121) 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 63 ways as a sum of consecutive naturals, for example, 939735 + ... + 3675236.

It is an arithmetic number, because the mean of its divisors is an integer number (170126327808).

Almost surely, 26312131200221 is an apocalyptic number.

It is an amenable number.

6312131200221 is a deficient number, since it is larger than the sum of its proper divisors (4575953779491).

6312131200221 is a wasteful number, since it uses less digits than its factorization.

6312131200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615214.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 6312131200221 its reverse (1220021312136), we get a palindrome (7532152512357).

The spelling of 6312131200221 in words is "six trillion, three hundred twelve billion, one hundred thirty-one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 191 217 231 341 573 651 1023 1337 2101 2387 4011 5921 6303 7161 14707 17763 41447 44121 65131 124341 195393 455917 1367751 4614971 13844913 32304797 50764681 96914391 143064101 152294043 355352767 429192303 881459461 1001448707 1066058301 1573705111 2644378383 3004346121 4721115333 6170216227 9696054071 11015935777 18510648681 27325243291 29088162213 33047807331 67872378497 81975729873 191276703037 203617135491 300577676201 573830109111 901733028603 2104043733407 6312131200221