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1003001101323 = 313190113528657
BaseRepresentation
bin11101001100001111000…
…01100011110000001011
310112212220212112011112220
432212013201203300023
5112413121240220243
62044434454305123
7132315205456404
oct16460741436013
93485825464486
101003001101323
11357408a78821
1214247b0581a3
1373775c77440
143678cc589ab
151b154e76783
hexe987863c0b

1003001101323 has 16 divisors (see below), whose sum is σ = 1440964420896. Its totient is φ = 616906713600.

The previous prime is 1003001101247. The next prime is 1003001101363. The reversal of 1003001101323 is 3231011003001.

It is a de Polignac number, because none of the positive numbers 2k-1003001101323 is a prime.

It is a super-2 number, since 2×10030011013232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003001101363) 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 15 ways as a sum of consecutive naturals, for example, 6690190 + ... + 6838467.

It is an arithmetic number, because the mean of its divisors is an integer number (90060276306).

Almost surely, 21003001101323 is an apocalyptic number.

1003001101323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003001101323 is a deficient number, since it is larger than the sum of its proper divisors (437963319573).

1003001101323 is a wasteful number, since it uses less digits than its factorization.

1003001101323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13530574.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003001101323 its reverse (3231011003001), we get a palindrome (4234012104324).

The spelling of 1003001101323 in words is "one trillion, three billion, one million, one hundred one thousand, three hundred twenty-three".

Divisors: 1 3 13 39 1901 5703 24713 74139 13528657 40585971 175872541 527617623 25717976957 77153930871 334333700441 1003001101323