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1146131631 = 32347366997
BaseRepresentation
bin100010001010000…
…1001010010101111
32221212122112000200
41010110021102233
54321402203011
6305421324543
740254646431
oct10424112257
92855575020
101146131631
11538a63727
1227ba06753
131535b33c8
14ac30a651
156a949856
hex445094af

1146131631 has 12 divisors (see below), whose sum is σ = 1660298952. Its totient is φ = 761883696.

The previous prime is 1146131593. The next prime is 1146131669. The reversal of 1146131631 is 1361316411.

1146131631 is a `hidden beast` number, since 1 + 1 + 4 + 613 + 16 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1146131593) and next prime (1146131669).

It is not a de Polignac number, because 1146131631 - 214 = 1146115247 is a prime.

It is a super-2 number, since 2×11461316312 = 2627235431157440322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1146131595 and 1146131604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146130631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180376 + ... + 186621.

It is an arithmetic number, because the mean of its divisors is an integer number (138358246).

Almost surely, 21146131631 is an apocalyptic number.

1146131631 is a deficient number, since it is larger than the sum of its proper divisors (514167321).

1146131631 is a wasteful number, since it uses less digits than its factorization.

1146131631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367350 (or 367347 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1146131631 is about 33854.5658811334. The cubic root of 1146131631 is about 1046.5134944398.

The spelling of 1146131631 in words is "one billion, one hundred forty-six million, one hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 347 1041 3123 366997 1100991 3302973 127347959 382043877 1146131631