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10431143222031 = 377297339037
BaseRepresentation
bin1001011111001011000010…
…0101100001101100001111
31100221012121022021020000000
42113302300211201230033
52331400440131101111
634104000120335343
72124424311305100
oct227626045415417
940835538236000
1010431143222031
113361906456044
121205760914553
135a886396389c
14280c274ca3a7
151315109d7c56
hex97cb0961b0f

10431143222031 has 48 divisors (see below), whose sum is σ = 18198506544480. Its totient is φ = 5960653208496.

The previous prime is 10431143222011. The next prime is 10431143222033. The reversal of 10431143222031 is 13022234113401.

10431143222031 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 1 + 432 + 220 + 3 + 1 = 666.

10431143222031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10431143222031 - 226 = 10431076113167 is a prime.

It is a super-2 number, since 2×104311432220312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10431143221986 and 10431143222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431143222033) 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, 48562356 + ... + 48776681.

It is an arithmetic number, because the mean of its divisors is an integer number (379135553010).

Almost surely, 210431143222031 is an apocalyptic number.

10431143222031 is a deficient number, since it is larger than the sum of its proper divisors (7767363322449).

10431143222031 is an frugal number, since it uses more digits than its factorization.

10431143222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97339072 (or 97339047 counting only the distinct ones).

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

Adding to 10431143222031 its reverse (13022234113401), we get a palindrome (23453377335432).

The spelling of 10431143222031 in words is "ten trillion, four hundred thirty-one billion, one hundred forty-three million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 11907 15309 35721 107163 97339037 292017111 681373259 876051333 2044119777 2628153999 4769612813 6132359331 7884461997 14308838439 18397077993 23653385991 42926515317 55191233979 70960157973 128779545951 165573701937 212880473919 386338637853 496721105811 1159015913559 1490163317433 3477047740677 10431143222031