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1001112299967 = 313252611016173
BaseRepresentation
bin11101001000101101111…
…00010110100110111111
310112201001020102010012010
432210112330112212333
5112400234222044332
62043523222542303
7132220332101043
oct16442674264677
93481036363163
101001112299967
1135662988136a
12142032597993
1373534864bc0
1436650068023
151b09422b9cc
hexe916f169bf

1001112299967 has 16 divisors (see below), whose sum is σ = 1437552904928. Its totient is φ = 616044113280.

The previous prime is 1001112299959. The next prime is 1001112300037. The reversal of 1001112299967 is 7699922111001.

It is not a de Polignac number, because 1001112299967 - 23 = 1001112299959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112299167) 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, 477093 + ... + 1493265.

It is an arithmetic number, because the mean of its divisors is an integer number (89847056558).

Almost surely, 21001112299967 is an apocalyptic number.

1001112299967 is a deficient number, since it is larger than the sum of its proper divisors (436440604961).

1001112299967 is a wasteful number, since it uses less digits than its factorization.

1001112299967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041450.

The product of its (nonzero) digits is 122472, while the sum is 48.

The spelling of 1001112299967 in words is "one trillion, one billion, one hundred twelve million, two hundred ninety-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 13 39 25261 75783 328393 985179 1016173 3048519 13210249 39630747 25669546153 77008638459 333704099989 1001112299967