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443023131430201 = 71947536121921547
BaseRepresentation
bin110010010111011010101110…
…0011000000100110100111001
32011002121121010202022210211111
41210232311130120010310321
5431031442333121231301
64210122003353400321
7162213236123121250
oct14456653430046471
92132547122283744
10443023131430201
11119185067115303
1241830a264090a1
1316027b95a00cca
147b58610b5b797
1536340ad1b1551
hex192ed5c604d39

443023131430201 has 64 divisors (see below), whose sum is σ = 563660871966720. Its totient is φ = 339787470447360.

The previous prime is 443023131430171. The next prime is 443023131430303. The reversal of 443023131430201 is 102034131320344.

It is a cyclic number.

It is not a de Polignac number, because 443023131430201 - 29 = 443023131429689 is a prime.

It is a super-2 number, since 2×4430231314302012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (443023131430001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9248710 + ... + 31170256.

It is an arithmetic number, because the mean of its divisors is an integer number (8807201124480).

Almost surely, 2443023131430201 is an apocalyptic number.

It is an amenable number.

443023131430201 is a deficient number, since it is larger than the sum of its proper divisors (120637740536519).

443023131430201 is a wasteful number, since it uses less digits than its factorization.

443023131430201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21921734.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 443023131430201 its reverse (102034131320344), we get a palindrome (545057262750545).

The spelling of 443023131430201 in words is "four hundred forty-three trillion, twenty-three billion, one hundred thirty-one million, four hundred thirty thousand, two hundred one".

Divisors: 1 7 19 47 53 61 133 329 371 427 893 1007 1159 2491 2867 3233 6251 7049 8113 17437 20069 22631 47329 54473 61427 151951 331303 381311 429989 1063657 2887069 20209483 21921547 153450829 416509393 1030312709 1161841991 1337214367 2915565751 7212188963 8132893937 9360500569 19575941471 22074997829 25407072973 54606573577 62849075249 70872361451 137031590297 154524984803 177849510811 382246015039 439943526743 496106530157 1037524897963 1194132429731 1346574867569 3331000988197 7262674285741 8358927008117 9426024072983 23317006917379 63289018775743 443023131430201