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321322301032213 = 131930739727073943
BaseRepresentation
bin100100100001111011010110…
…1100111001000011100010101
31120010201010000122002100210001
41021003312231213020130111
5314104021033031012323
63055221232142331301
7124452525110031115
oct11103665547103425
91503633018070701
10321322301032213
1193424028094288
12300564b8589b31
1310a3a741b04820
14594c121d81045
1527234e53ad3ad
hex1243dad9c8715

321322301032213 has 64 divisors (see below), whose sum is σ = 366587275479040. Its totient is φ = 279199589720832.

The previous prime is 321322301032189. The next prime is 321322301032331. The reversal of 321322301032213 is 312230103223123.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321322301032213 is a prime.

It is a super-2 number, since 2×3213223010322132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321322301032913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81491831920 + ... + 81491835862.

It is an arithmetic number, because the mean of its divisors is an integer number (5727926179360).

Almost surely, 2321322301032213 is an apocalyptic number.

It is an amenable number.

321322301032213 is a deficient number, since it is larger than the sum of its proper divisors (45264974446827).

321322301032213 is a wasteful number, since it uses less digits than its factorization.

321322301032213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 321322301032213 its reverse (312230103223123), we get a palindrome (633552404255336).

The spelling of 321322301032213 in words is "three hundred twenty-one trillion, three hundred twenty-two billion, three hundred one million, thirty-two thousand, two hundred thirteen".

Divisors: 1 13 19 247 307 397 2707 3943 3991 5161 5833 7543 35191 51259 51433 74917 75829 98059 121879 668629 831049 973921 1074679 1210501 1565371 1584427 2315701 10673701 10803637 13970827 15736513 15789931 20349823 20418901 22999519 29742049 30104113 138758113 202800319 205269103 265445713 298993747 329926453 386646637 480568897 2636404147 3276826207 4237459297 4289043889 6247395661 6268602607 9130809043 42598740691 55086970861 62259697933 80511726643 81491833891 118700517559 809376073129 1046652446359 1300900004179 16911700054327 24717100079401 321322301032213