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323120121021323 = 19831018467239597
BaseRepresentation
bin100100101111000000100010…
…0000010001000001110001011
31120101001222111210120111111122
41021132001010002020032023
5314323000001440140243
63103115200120145455
7125026441550555243
oct11136010402101613
91511058453514448
10323120121021323
1193a5752365747a
12302a6a1690828b
1310b3b1344c6852
1459b1150dd6b23
152755168847668
hex125e04408838b

323120121021323 has 32 divisors (see below), whose sum is σ = 347675022455040. Its totient is φ = 299394753033600.

The previous prime is 323120121021307. The next prime is 323120121021331.

323120121021323 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 323120121021323 - 24 = 323120121021307 is a prime.

It is a super-2 number, since 2×3231201210213232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 323120121021292 and 323120121021301.

It is not an unprimeable number, because it can be changed into a prime (323120121021223) 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 31 ways as a sum of consecutive naturals, for example, 1348478561 + ... + 1348718157.

It is an arithmetic number, because the mean of its divisors is an integer number (10864844451720).

Almost surely, 2323120121021323 is an apocalyptic number.

323120121021323 is a deficient number, since it is larger than the sum of its proper divisors (24554901433717).

323120121021323 is a wasteful number, since it uses less digits than its factorization.

323120121021323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248267.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 323120121021323 in words is "three hundred twenty-three trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, three hundred twenty-three".

Divisors: 1 19 83 101 1577 1919 8383 8467 159277 160873 239597 702761 855167 4552343 13352459 16248173 19886551 24199297 70978861 377844469 459786643 1348598359 2008541651 2028667799 38162291369 38544688181 168379427317 204895447699 3199209119023 3893013506281 17006322159017 323120121021323