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322230101331131 = 71348721673157483
BaseRepresentation
bin100100101000100010000101…
…0101110011100110010111011
31120020220220012210111200112022
41021101010022232130302323
5314213404221420044011
63101154244233305055
7124605233205200660
oct11121041256346273
91506826183450468
10322230101331131
1193744022753104
1230182428b6518b
1310aa5225622806
14598003d2c9a67
15273be275d98db
hex125110ab9ccbb

322230101331131 has 16 divisors (see below), whose sum is σ = 368309609739264. Its totient is φ = 276162254432064.

The previous prime is 322230101331107. The next prime is 322230101331133. The reversal of 322230101331131 is 131133101032223.

It is not a de Polignac number, because 322230101331131 - 230 = 322229027589307 is a prime.

It is a super-3 number, since 3×3222301013311313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 322230101331131.

It is not an unprimeable number, because it can be changed into a prime (322230101331133) 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 15 ways as a sum of consecutive naturals, for example, 2046047516 + ... + 2046204998.

It is an arithmetic number, because the mean of its divisors is an integer number (23019350608704).

Almost surely, 2322230101331131 is an apocalyptic number.

322230101331131 is a deficient number, since it is larger than the sum of its proper divisors (46079508408133).

322230101331131 is a wasteful number, since it uses less digits than its factorization.

322230101331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192650.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 322230101331131 its reverse (131133101032223), we get a palindrome (453363202363354).

The spelling of 322230101331131 in words is "three hundred twenty-two trillion, two hundred thirty billion, one hundred one million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 13487 21673 94409 151711 157483 1102381 292303751 2046126257 2123973221 3413129059 14867812547 23891903413 46032871618733 322230101331131