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131462001 = 3311442633
BaseRepresentation
bin1111101010111…
…11001101110001
3100011100221222000
413311133031301
5232123241001
621013404213
73154260066
oct765371561
9304327860
10131462001
1168230390
1238039669
132130b088
1413660c6d
15b81ba86
hex7d5f371

131462001 has 16 divisors (see below), whose sum is σ = 212464320. Its totient is φ = 79673760.

The previous prime is 131461963. The next prime is 131462021. The reversal of 131462001 is 100264131.

It is a happy number.

It is not a de Polignac number, because 131462001 - 26 = 131461937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131462021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221020 + ... + 221613.

It is an arithmetic number, because the mean of its divisors is an integer number (13279020).

Almost surely, 2131462001 is an apocalyptic number.

131462001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131462001 is a deficient number, since it is larger than the sum of its proper divisors (81002319).

131462001 is a wasteful number, since it uses less digits than its factorization.

131462001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442653 (or 442647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131462001 is about 11465.6879863356. The cubic root of 131462001 is about 508.4716528606.

The spelling of 131462001 in words is "one hundred thirty-one million, four hundred sixty-two thousand, one".

Divisors: 1 3 9 11 27 33 99 297 442633 1327899 3983697 4868963 11951091 14606889 43820667 131462001