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321052142525055 = 351511709816110163
BaseRepresentation
bin100100011111111101100011…
…0111010001101101001111111
31120002202021200211012020110120
41020333323012322031221333
5314040104241441300210
63054453152420110023
7124424152245433344
oct11077730672155177
91502667624166416
10321052142525055
119332a4a3709267
1230012080b35313
1310a1b119580bb6
14593d0141c67cb
15271b482968270
hex123fec6e8da7f

321052142525055 has 64 divisors (see below), whose sum is σ = 517502183869440. Its totient is φ = 169956767232000.

The previous prime is 321052142525029. The next prime is 321052142525069. The reversal of 321052142525055 is 550525241250123.

It is not a de Polignac number, because 321052142525055 - 26 = 321052142524991 is a prime.

It is a super-2 number, since 2×3210521425250552 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321052142524998 and 321052142525016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31590287404 + ... + 31590297566.

It is an arithmetic number, because the mean of its divisors is an integer number (8085971622960).

Almost surely, 2321052142525055 is an apocalyptic number.

321052142525055 is a deficient number, since it is larger than the sum of its proper divisors (196450041344385).

321052142525055 is a wasteful number, since it uses less digits than its factorization.

321052142525055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20192.

The product of its (nonzero) digits is 600000, while the sum is 42.

Adding to 321052142525055 its reverse (550525241250123), we get a palindrome (871577383775178).

The spelling of 321052142525055 in words is "three hundred twenty-one trillion, fifty-two billion, one hundred forty-two million, five hundred twenty-five thousand, fifty-five".

Divisors: 1 3 5 15 151 453 755 1709 2265 5127 8161 8545 10163 24483 25635 30489 40805 50815 122415 152445 258059 774177 1232311 1290295 1534613 3696933 3870885 4603839 6161555 7673065 13947149 17368567 18484665 23019195 41841447 52105701 69735745 82940243 86842835 209207235 248820729 260528505 414701215 1244103645 2106019499 2622653617 6318058497 7867960851 10530097495 12523976693 13113268085 31590292485 37571930079 39339804255 62619883465 141744875287 187859650395 425234625861 708724376435 2126173129305 21403476168337 64210428505011 107017380841685 321052142525055