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1001320111299 = 323411133132287
BaseRepresentation
bin11101001001000110101…
…01000101110011000011
310112201120201110000202010
432210203111011303003
5112401200422030144
62044000005024003
7132225434341014
oct16444325056303
93481521400663
101001320111299
1135672610a072
121420900b5003
13735689257a1
143666d8c100b
151b0a75ca5b9
hexe923545cc3

1001320111299 has 32 divisors (see below), whose sum is σ = 1439749914624. Its totient is φ = 617436216320.

The previous prime is 1001320111283. The next prime is 1001320111301. The reversal of 1001320111299 is 9921110231001.

It is a cyclic number.

It is not a de Polignac number, because 1001320111299 - 24 = 1001320111283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001320111499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246467 + ... + 1885820.

It is an arithmetic number, because the mean of its divisors is an integer number (44992184832).

Almost surely, 21001320111299 is an apocalyptic number.

1001320111299 is a deficient number, since it is larger than the sum of its proper divisors (438429803325).

1001320111299 is a wasteful number, since it uses less digits than its factorization.

1001320111299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132467.

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 1001320111299 in words is "one trillion, one billion, three hundred twenty million, one hundred eleven thousand, two hundred ninety-nine".

Divisors: 1 3 23 41 69 113 123 339 943 2599 2829 4633 7797 13899 106559 319677 3132287 9396861 72042601 128423767 216127803 353948431 385271301 1061845293 2953746641 8140813913 8861239923 14511885671 24422441739 43535657013 333773370433 1001320111299