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345225522543 = 311172131288773
BaseRepresentation
bin1010000011000010000…
…10110110110101101111
31020000002100201121120120
411001201002312311233
521124010213210133
6422332221020023
733641003344626
oct5014102666557
91200070647516
10345225522543
11123455897810
1256aa73b4613
1326729692035
14129cd7186bd
158ea7ce8ab3
hex50610b6d6f

345225522543 has 32 divisors (see below), whose sum is σ = 531935569152. Its totient is φ = 196826995200.

The previous prime is 345225522541. The next prime is 345225522553.

345225522543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345225522543 - 21 = 345225522541 is a prime.

It is a super-2 number, since 2×3452255225432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345225522495 and 345225522504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345225522541) 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, 1051105 + ... + 1339877.

It is an arithmetic number, because the mean of its divisors is an integer number (16622986536).

Almost surely, 2345225522543 is an apocalyptic number.

345225522543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345225522543 is a deficient number, since it is larger than the sum of its proper divisors (186710046609).

345225522543 is a wasteful number, since it uses less digits than its factorization.

345225522543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290935.

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 345225 and 522543, that added together give a palindrome (867768).

The spelling of 345225522543 in words is "three hundred forty-five billion, two hundred twenty-five million, five hundred twenty-two thousand, five hundred forty-three".

Divisors: 1 3 11 17 33 51 187 561 2131 6393 23441 36227 70323 108681 288773 398497 866319 1195491 3176503 4909141 9529509 14727423 54000551 162001653 615375263 1846125789 6769127893 10461379471 20307383679 31384138413 115075174181 345225522543