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431432302101141 = 311471392001179569
BaseRepresentation
bin110001000011000101010100…
…1000111001000001010010101
32002120120112011221001102120010
41202012022221013020022111
5423022041323314214031
64125325132523030433
7156605645431322565
oct14206125107101225
92076515157042503
10431432302101141
111155164591346a0
124047a57906b419
1315696b78888583
1478776132a2da5
1534d2826d2a246
hex18862a91c8295

431432302101141 has 32 divisors (see below), whose sum is σ = 645500482099200. Its totient is φ = 254069757953280.

The previous prime is 431432302101077. The next prime is 431432302101257. The reversal of 431432302101141 is 141101203234134.

It is not a de Polignac number, because 431432302101141 - 26 = 431432302101077 is a prime.

It is a super-2 number, since 2×4314323021011412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431432302101099 and 431432302101108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431432302102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000374196 + ... + 1000805373.

It is an arithmetic number, because the mean of its divisors is an integer number (20171890065600).

Almost surely, 2431432302101141 is an apocalyptic number.

It is an amenable number.

431432302101141 is a deficient number, since it is larger than the sum of its proper divisors (214068179998059).

431432302101141 is a wasteful number, since it uses less digits than its factorization.

431432302101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001179769.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 431432302101141 its reverse (141101203234134), we get a palindrome (572533505335275).

The spelling of 431432302101141 in words is "four hundred thirty-one trillion, four hundred thirty-two billion, three hundred two million, one hundred one thousand, one hundred forty-one".

Divisors: 1 3 11 33 47 139 141 417 517 1529 1551 4587 6533 19599 71863 215589 2001179569 6003538707 22012975259 66038925777 94055439743 278163960091 282166319229 834491880273 1034609837173 3059803561001 3103829511519 9179410683003 13073706124277 39221118372831 143810767367047 431432302101141