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320312300132101 = 31617173227143971
BaseRepresentation
bin100100011010100101000010…
…0110111011101011100000101
31120000010120000221012120110011
41020311022010313131130011
5313440444042313211401
63053125234514030221
7124316541254030644
oct11065120467353405
91500116027176404
10320312300132101
119307475799a092
122bb12805278371
13109964218c4c14
1459152ab61d35b
1527070d0b5c451
hex1235284ddd705

320312300132101 has 64 divisors (see below), whose sum is σ = 346991445983232. Its totient is φ = 295177659840000.

The previous prime is 320312300132089. The next prime is 320312300132113. The reversal of 320312300132101 is 101231003213023.

It is an interprime number because it is at equal distance from previous prime (320312300132089) and next prime (320312300132113).

It is a cyclic number.

It is not a de Polignac number, because 320312300132101 - 213 = 320312300123909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320312300139101) 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, 2224767046 + ... + 2224911016.

It is an arithmetic number, because the mean of its divisors is an integer number (5421741343488).

Almost surely, 2320312300132101 is an apocalyptic number.

320312300132101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

320312300132101 is a deficient number, since it is larger than the sum of its proper divisors (26679145851131).

320312300132101 is a wasteful number, since it uses less digits than its factorization.

320312300132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144434.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 320312300132101 its reverse (101231003213023), we get a palindrome (421543303345124).

The spelling of 320312300132101 in words is "three hundred twenty trillion, three hundred twelve billion, three hundred million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 31 61 71 73 227 1891 2201 2263 4331 4453 5183 7037 13847 16117 16571 134261 138043 143971 160673 316163 429257 499627 513701 983137 1010831 1176541 4463101 8782231 9801053 10221941 10509883 30477247 31335761 32681417 36472771 71769001 272249161 316880171 325806373 623538401 641102863 746201693 1013123927 1993566437 2224839031 2320380607 2385743441 19329690431 19874188753 23132252483 45518303273 61800559547 71931798817 73958046671 141543217027 145530349901 169387784311 1411067401463 4387839727837 4511440846931 5251021313641 10332654842971 320312300132101