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523220022325 = 527111320907893
BaseRepresentation
bin1111001110100100101…
…01111111010000110101
31212000112002210001201101
413213102111333100311
532033023311203300
61040210340530101
752541610544420
oct7472225772065
91760462701641
10523220022325
111919950759a0
12854a13b0931
133a454984860
141b4770269b7
15d924404b6a
hex79d257f435

523220022325 has 48 divisors (see below), whose sum is σ = 871106495616. Its totient is φ = 301073644800.

The previous prime is 523220022301. The next prime is 523220022349.

523220022325 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (523220022301) and next prime (523220022349).

It is not a de Polignac number, because 523220022325 - 25 = 523220022293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 523220022293 and 523220022302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10428922 + ... + 10478971.

It is an arithmetic number, because the mean of its divisors is an integer number (18148051992).

Almost surely, 2523220022325 is an apocalyptic number.

523220022325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523220022325 is a deficient number, since it is larger than the sum of its proper divisors (347886473291).

523220022325 is a wasteful number, since it uses less digits than its factorization.

523220022325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907934 (or 20907929 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

It can be divided in two parts, 5232200 and 22325, that added together give a palindrome (5254525).

The spelling of 523220022325 in words is "five hundred twenty-three billion, two hundred twenty million, twenty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1925 2275 3575 5005 25025 20907893 104539465 146355251 229986823 271802609 522697325 731776255 1149934115 1359013045 1609907761 1902618263 2989828699 3658881275 5749670575 6795065225 8049538805 9513091315 14949143495 20928800893 40247694025 47565456575 74745717475 104644004465 523220022325