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320311123230231 = 33723961331156217
BaseRepresentation
bin100100011010100100011111…
…0101101111011111000010111
31120000010102222220122202121000
41020311020332231323320113
5313440434140021331411
63053124522032554343
7124316500143364110
oct11065107655737027
91500112886582530
10320311123230231
119307420362a311
122bb125370b29b3
1310996294b2a093
1459151d91c3207
152707062685956
hex123523eb7be17

320311123230231 has 64 divisors (see below), whose sum is σ = 544684125081600. Its totient is φ = 182239214024448.

The previous prime is 320311123230223. The next prime is 320311123230257. The reversal of 320311123230231 is 132032321113023.

320311123230231 is a `hidden beast` number, since 3 + 2 + 0 + 311 + 1 + 2 + 323 + 0 + 23 + 1 = 666.

It is not a de Polignac number, because 320311123230231 - 23 = 320311123230223 is a prime.

It is a super-2 number, since 2×3203111232302312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320311123230195 and 320311123230204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320311123230031) 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, 276455635 + ... + 277611851.

It is an arithmetic number, because the mean of its divisors is an integer number (8510689454400).

Almost surely, 2320311123230231 is an apocalyptic number.

320311123230231 is a deficient number, since it is larger than the sum of its proper divisors (224373001851369).

320311123230231 is a wasteful number, since it uses less digits than its factorization.

320311123230231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162605 (or 1162599 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 320311123230231 its reverse (132032321113023), we get a palindrome (452343444343254).

The spelling of 320311123230231 in words is "three hundred twenty trillion, three hundred eleven billion, one hundred twenty-three million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 239 717 1673 2151 5019 6133 6453 15057 18399 42931 45171 55197 128793 165591 386379 1156217 1159137 1465787 3468651 4397361 8093519 10260509 10405953 13192083 24280557 30781527 31217859 39576249 72841671 92344581 218525013 276335863 277033743 829007589 1934351041 2487022767 5803053123 7091078861 7461068301 17409159369 21273236583 49637552027 52227478107 63819709749 148912656081 191459129247 446737968243 1340213904729 1694767847779 5084303543337 11863374934453 15252910630011 35590124803359 45758731890033 106770374410077 320311123230231