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423240001331121 = 3213293103049119809
BaseRepresentation
bin110000000111011110011110…
…1111011110001111110110001
32001111120100102101211202012100
41200032330331323301332301
5420433331010320043441
64100053434502051013
7155102036533612062
oct14016747573617661
92044510371752170
10423240001331121
111129480929a8747
123b5768b8119a69
131522148caaac40
147672cd52b6569
1533de69c828cb6
hex180ef3def1fb1

423240001331121 has 48 divisors (see below), whose sum is σ = 660632268114000. Its totient is φ = 259561773858816.

The previous prime is 423240001331111. The next prime is 423240001331131. The reversal of 423240001331121 is 121133100042324.

423240001331121 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 400 + 0 + 133 + 1 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (423240001331111) and next prime (423240001331131).

It can be written as a sum of positive squares in 8 ways, for example, as 30915423706896 + 392324577624225 = 5560164^2 + 19807185^2 .

It is not a de Polignac number, because 423240001331121 - 211 = 423240001329073 is a prime.

It is a super-4 number, since 4×4232400013311214 (a number of 60 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (423240001331111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532562865 + ... + 3532682673.

It is an arithmetic number, because the mean of its divisors is an integer number (13763172252375).

Almost surely, 2423240001331121 is an apocalyptic number.

It is an amenable number.

423240001331121 is a deficient number, since it is larger than the sum of its proper divisors (237392266782879).

423240001331121 is a wasteful number, since it uses less digits than its factorization.

423240001331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223170 (or 223167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 423240001331121 its reverse (121133100042324), we get a palindrome (544373101373445).

The spelling of 423240001331121 in words is "four hundred twenty-three trillion, two hundred forty billion, one million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 293 879 2637 3809 11427 34281 103049 119809 309147 359427 927441 1078281 1339637 1557517 4018911 4672551 12056733 14017653 30193357 35104037 90580071 105312111 271740213 315936333 392513641 456352481 1177540923 1369057443 3532622769 4107172329 12346197641 37038592923 111115778769 160500569333 481501707999 1444505123997 3617435908813 10852307726439 32556923179317 47026666814569 141080000443707 423240001331121