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321414230323131 = 31147571136286171
BaseRepresentation
bin100100100010100110001010…
…1000001100010111110111011
31120011000220022100021012111120
41021011030111001202332323
5314112022320430320011
63055331354202200323
7124462261154100411
oct11105142501427673
91504026270235446
10321414230323131
119345a011847180
12300702934b30a3
1310a4630254495a
1459527631ad2b1
152725ac5cd1a06
hex1245315062fbb

321414230323131 has 32 divisors (see below), whose sum is σ = 477542279725056. Its totient is φ = 190618508244000.

The previous prime is 321414230323091. The next prime is 321414230323139. The reversal of 321414230323131 is 131323032414123.

It is not a de Polignac number, because 321414230323131 - 27 = 321414230323003 is a prime.

It is a super-2 number, since 2×3214142303231312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 321414230323092 and 321414230323101.

It is not an unprimeable number, because it can be changed into a prime (321414230323139) 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 31 ways as a sum of consecutive naturals, for example, 9285325 + ... + 27000846.

It is an arithmetic number, because the mean of its divisors is an integer number (14923196241408).

Almost surely, 2321414230323131 is an apocalyptic number.

321414230323131 is a deficient number, since it is larger than the sum of its proper divisors (156128049401925).

321414230323131 is a wasteful number, since it uses less digits than its factorization.

321414230323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36291943.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 321414230323131 its reverse (131323032414123), we get a palindrome (452737262737254).

The spelling of 321414230323131 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred thirty million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 47 141 517 1551 5711 17133 62821 188463 268417 805251 2952587 8857761 36286171 108858513 399147881 1197443643 1705450037 5116350111 18759950407 56279851221 207230322581 621690967743 2279533548391 6838600645173 9739825161307 29219475483921 107138076774377 321414230323131