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1006364131 = 4328382699
BaseRepresentation
bin111011111110111…
…110010111100011
32121010122121001121
4323332332113203
54030112123011
6243505513111
733636645133
oct7376762743
92533577047
101006364131
114770802a3
12241042797
13130657b46
1497926ac3
155d53be71
hex3bfbe5e3

1006364131 has 8 divisors (see below), whose sum is σ = 1033419200. Its totient is φ = 979475112.

The previous prime is 1006364111. The next prime is 1006364137. The reversal of 1006364131 is 1314636001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1006364131 - 213 = 1006355939 is a prime.

It is a super-2 number, since 2×10063641312 = 2025537528326770322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006364096 and 1006364105.

It is not an unprimeable number, because it can be changed into a prime (1006364137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29181 + ... + 53518.

It is an arithmetic number, because the mean of its divisors is an integer number (129177400).

Almost surely, 21006364131 is an apocalyptic number.

1006364131 is a deficient number, since it is larger than the sum of its proper divisors (27055069).

1006364131 is an equidigital number, since it uses as much as digits as its factorization.

1006364131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83025.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1006364131 is about 31723.2427566918. The cubic root of 1006364131 is about 1002.1168926036.

The spelling of 1006364131 in words is "one billion, six million, three hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 43 283 12169 82699 3556057 23403817 1006364131