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1003323131113 = 23735147116101
BaseRepresentation
bin11101001100110101011…
…10000000010011101001
310112220202022110222101011
432212122232000103221
5112414301210143423
62044530440423521
7132326165620642
oct16463256002351
93486668428334
101003323131113
11357563829546
1214254aa77ba1
13737c78b9504
14367bd9246c9
151b173387b0d
hexe99ab804e9

1003323131113 has 16 divisors (see below), whose sum is σ = 1061502938496. Its totient is φ = 946361750400.

The previous prime is 1003323131101. The next prime is 1003323131123. The reversal of 1003323131113 is 3111313233001.

It is a cyclic number.

It is not a de Polignac number, because 1003323131113 - 25 = 1003323131081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003323131123) 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, 8583763 + ... + 8699863.

It is an arithmetic number, because the mean of its divisors is an integer number (66343933656).

Almost surely, 21003323131113 is an apocalyptic number.

It is an amenable number.

1003323131113 is a deficient number, since it is larger than the sum of its proper divisors (58179807383).

1003323131113 is a wasteful number, since it uses less digits than its factorization.

1003323131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121344.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1003323131113 its reverse (3111313233001), we get a palindrome (4114636364114).

The spelling of 1003323131113 in words is "one trillion, three billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 23 73 1679 5147 116101 118381 375731 2670323 8475373 8641813 194933579 597571847 13744152481 43622744831 1003323131113