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821342222243128 = 238310114982195573
BaseRepresentation
bin1011101011000000011010001…
…1011001010101010100111000
310222201010112211122221101011001
42322300012203121111110320
51330123332332343240003
612030503224041014344
7335001005640502105
oct27260064331252470
93881115748841131
10821342222243128
1121878330a121723
12781517604843b4
132933b315747c81
14106b7266053aac
1564e4ee1b6261d
hex2eb01a3655538

821342222243128 has 64 divisors (see below), whose sum is σ = 1584566275572000. Its totient is φ = 399010184716800.

The previous prime is 821342222243113. The next prime is 821342222243161.

It is a happy number.

821342222243128 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31105251 + ... + 51090322.

Almost surely, 2821342222243128 is an apocalyptic number.

It is an amenable number.

821342222243128 is a deficient number, since it is larger than the sum of its proper divisors (763224053328872).

821342222243128 is a wasteful number, since it uses less digits than its factorization.

821342222243128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82195912 (or 82195908 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The spelling of 821342222243128 in words is "eight hundred twenty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 83 101 149 166 202 298 332 404 596 664 808 1192 8383 12367 15049 16766 24734 30098 33532 49468 60196 67064 98936 120392 1249067 2498134 4996268 9992536 82195573 164391146 328782292 657564584 6822232559 8301752873 12247140377 13644465118 16603505746 24494280754 27288930236 33207011492 48988561508 54577860472 66414022984 97977123016 689045488459 1016512651291 1236961178077 1378090976918 2033025302582 2473922356154 2756181953836 4066050605164 4947844712308 5512363907672 8132101210328 9895689424616 102667777780391 205335555560782 410671111121564 821342222243128