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131001006 = 2321833501
BaseRepresentation
bin1111100111011…
…10101010101110
3100010111112121010
413303232222232
5232014013011
620555450050
73150330063
oct763565256
9303445533
10131001006
1167a45aa4
1237a56926
13211a92b6
1413580c6a
15b77a1a6
hex7ceeaae

131001006 has 8 divisors (see below), whose sum is σ = 262002024. Its totient is φ = 43667000.

The previous prime is 131000951. The next prime is 131001011. The reversal of 131001006 is 600100131.

It is a sphenic number, since it is the product of 3 distinct primes.

131001006 is an admirable number.

It is a super-2 number, since 2×1310010062 = 34322527146024072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000982 and 131001000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10916745 + ... + 10916756.

It is an arithmetic number, because the mean of its divisors is an integer number (32750253).

Almost surely, 2131001006 is an apocalyptic number.

131001006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131001006 is a wasteful number, since it uses less digits than its factorization.

131001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21833506.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131001006 is about 11445.5670894893. The cubic root of 131001006 is about 507.8766078673.

Adding to 131001006 its reverse (600100131), we get a palindrome (731101137).

The spelling of 131001006 in words is "one hundred thirty-one million, one thousand, six".

Divisors: 1 2 3 6 21833501 43667002 65500503 131001006