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1312023001003 = 111331331894161
BaseRepresentation
bin10011000101111010101…
…010100011011110101011
311122102120010202012000121
4103011322222203132223
5132444010342013003
62442422434144111
7163535103333421
oct23057252433653
94572503665017
101312023001003
11466475863860
12192341a22037
1396952c53310
1447706273111
15241de6dacbd
hex1317aaa37ab

1312023001003 has 32 divisors (see below), whose sum is σ = 1595928950784. Its totient is φ = 1062262080000.

The previous prime is 1312023000991. The next prime is 1312023001019. The reversal of 1312023001003 is 3001003202131.

It is not a de Polignac number, because 1312023001003 - 213 = 1312022992811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312023001603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020243 + ... + 1914403.

It is an arithmetic number, because the mean of its divisors is an integer number (49872779712).

Almost surely, 21312023001003 is an apocalyptic number.

1312023001003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1312023001003 is a deficient number, since it is larger than the sum of its proper divisors (283905949781).

1312023001003 is a wasteful number, since it uses less digits than its factorization.

1312023001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894547.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1312023001003 its reverse (3001003202131), we get a palindrome (4313026203134).

The spelling of 1312023001003 in words is "one trillion, three hundred twelve billion, twenty-three million, one thousand, three".

Divisors: 1 11 13 31 143 331 341 403 3641 4303 4433 10261 47333 112871 133393 894161 1467323 9835771 11624093 27718991 127865023 295967291 304908901 360346883 3255640201 3847574783 3963815713 9174986021 42323322613 100924846231 119274818273 1312023001003