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131001140412224 = 263170993129479
BaseRepresentation
bin11101110010010100010100…
…011100000111111101000000
3122011211120211201022122201122
4131302110110130013331000
5114132310313421142344
61142341032035251412
736410343244616465
oct3562242434077500
9564746751278648
10131001140412224
11388172a962a765
1212838a94a49b68
13581347bbb0a54
14244c6bbc6366c
151022990ec9aee
hex772514707f40

131001140412224 has 56 divisors (see below), whose sum is σ = 268719526771200. Its totient is φ = 63298243607040.

The previous prime is 131001140412217. The next prime is 131001140412239. The reversal of 131001140412224 is 422214041100131.

It is a super-3 number, since 3×1310011404122243 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 131001140412193 and 131001140412202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45158084 + ... + 47971395.

Almost surely, 2131001140412224 is an apocalyptic number.

It is an amenable number.

131001140412224 is an abundant number, since it is smaller than the sum of its proper divisors (137718386358976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131001140412224 is an equidigital number, since it uses as much as digits as its factorization.

131001140412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93130231 (or 93130221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 131001140412224 its reverse (422214041100131), we get a palindrome (553215181512355).

The spelling of 131001140412224 in words is "one hundred thirty-one trillion, one billion, one hundred forty million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 709 992 1418 1984 2836 5672 11344 21979 22688 43958 45376 87916 175832 351664 703328 1406656 93129479 186258958 372517916 745035832 1490071664 2887013849 2980143328 5774027698 5960286656 11548055396 23096110792 46192221584 66028800611 92384443168 132057601222 184768886336 264115202444 528230404888 1056460809776 2046892818941 2112921619552 4093785637882 4225843239104 8187571275764 16375142551528 32750285103056 65500570206112 131001140412224