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10341343143131 = 7112131870150221
BaseRepresentation
bin1001011001111100100000…
…0101011010010011011011
31100121121210222120120001212
42112133020011122103123
52323413032321040011
633554425241133335
72115065060236640
oct226371005322333
940547728516055
1010341343143131
113327814673700
1211b027aa8a24b
135a025239ba20
1427a748d8ddc7
1512e006e9c08b
hex967c815a4db

10341343143131 has 48 divisors (see below), whose sum is σ = 13991095468224. Its totient is φ = 7437782880000.

The previous prime is 10341343143011. The next prime is 10341343143133. The reversal of 10341343143131 is 13134134314301.

10341343143131 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 10341343143131 - 218 = 10341342880987 is a prime.

It is a super-2 number, since 2×103413431431312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10341343143133) 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, 205891601 + ... + 205941821.

It is an arithmetic number, because the mean of its divisors is an integer number (291481155588).

Almost surely, 210341343143131 is an apocalyptic number.

10341343143131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10341343143131 is a deficient number, since it is larger than the sum of its proper divisors (3649752325093).

10341343143131 is a wasteful number, since it uses less digits than its factorization.

10341343143131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68964 (or 68953 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 10341343143131 its reverse (13134134314301), we get a palindrome (23475477457432).

The spelling of 10341343143131 in words is "ten trillion, three hundred forty-one billion, three hundred forty-three million, one hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 18701 50221 130907 205711 243113 351547 552431 652873 1439977 1701791 2262821 2674243 3867017 4570111 6076741 7181603 15839747 18719701 29416673 42537187 50271221 78997633 205916711 552983431 939182921 6574280447 10331012131 12209377973 72317084917 85465645811 113641133441 134303157703 795487934087 940122103921 1477334734733 10341343143131