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1345130315431 = 72412635575443
BaseRepresentation
bin10011100100110000000…
…000111011111010100111
311202121000110000000110021
4103210300000323322213
5134014311330043211
62505535550540011
7166116404013130
oct23446000737247
94677013000407
101345130315431
11479514aa5141
12198841507607
1399acb0047b6
144916725ac87
1524ecb005771
hex1393003bea7

1345130315431 has 32 divisors (see below), whose sum is σ = 1552607198208. Its totient is φ = 1141555714560.

The previous prime is 1345130315423. The next prime is 1345130315447.

1345130315431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1345130315431 - 23 = 1345130315423 is a prime.

It is a super-2 number, since 2×13451303154312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345130315401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247127596 + ... + 247133038.

It is an arithmetic number, because the mean of its divisors is an integer number (48518974944).

Almost surely, 21345130315431 is an apocalyptic number.

1345130315431 is a deficient number, since it is larger than the sum of its proper divisors (207476882777).

1345130315431 is a wasteful number, since it uses less digits than its factorization.

1345130315431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 1345130315431 in words is "one trillion, three hundred forty-five billion, one hundred thirty million, three hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 7 241 263 557 1687 1841 3899 5443 38101 63383 134237 146491 443681 939659 1025437 1311763 1431509 3031751 9182341 10020563 21222257 35304331 247130317 344993669 730651991 797350513 2414955683 5114563937 5581453591 192161473633 1345130315431