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323123321111201 = 13317389137900803
BaseRepresentation
bin100100101111000010000001…
…0110001100000001010100001
31120101002021202211002220112222
41021132010002301200022201
5314323023030201024301
63103120445433200425
7125026614056101322
oct11136040261401241
91511067684086488
10323123321111201
1193a58915a61356
12302a756a560115
1310b3b524497260
1459b1376006449
1527552a476231b
hex125e102c602a1

323123321111201 has 64 divisors (see below), whose sum is σ = 370904101263360. Its totient is φ = 279438292869120.

The previous prime is 323123321111191. The next prime is 323123321111251. The reversal of 323123321111201 is 102111123321323.

It is a cyclic number.

It is not a de Polignac number, because 323123321111201 - 26 = 323123321111137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323123321111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358255466 + ... + 359156268.

It is an arithmetic number, because the mean of its divisors is an integer number (5795376582240).

Almost surely, 2323123321111201 is an apocalyptic number.

323123321111201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

323123321111201 is a deficient number, since it is larger than the sum of its proper divisors (47780780152159).

323123321111201 is a wasteful number, since it uses less digits than its factorization.

323123321111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901146.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 323123321111201 its reverse (102111123321323), we get a palindrome (425234444432524).

The spelling of 323123321111201 in words is "three hundred twenty-three trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred eleven thousand, two hundred one".

Divisors: 1 13 31 73 89 137 403 949 1157 1781 2263 2759 4247 6497 10001 12193 29419 35867 55211 84461 130013 158509 201407 310031 377983 890089 900803 2618291 4030403 4913779 11571157 11710439 27592759 27924893 65758619 80171467 123410011 358705867 363023609 854862047 1042229071 1604330143 2038517189 2485315477 3825710341 5852517091 9008930803 10983490979 26500723457 32309101201 49734234433 76082722183 117116100439 142785382727 181428029821 279276854893 340488220349 801794841467 2358564387673 3630599113609 4426346864537 10423332939071 24855640085477 323123321111201