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1303328233031 = 112101404926339
BaseRepresentation
bin10010111101110100011…
…010101001011001000111
311121121010012000012122012
4102331310122221121013
5132323204011424111
62434423555124435
7163106455122566
oct22756432513107
94547105005565
101303328233031
1146281389aa00
12190715ba371b
1395b987b33b6
144711d5d3bdd
1523d8120348b
hex12f746a9647

1303328233031 has 24 divisors (see below), whose sum is σ = 1447180182000. Its totient is φ = 1172778464000.

The previous prime is 1303328233021. The next prime is 1303328233063.

1303328233031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1303328233031 - 214 = 1303328216647 is a prime.

It is a super-2 number, since 2×13033282330312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303328233021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49469660 + ... + 49495998.

It is an arithmetic number, because the mean of its divisors is an integer number (60299174250).

Almost surely, 21303328233031 is an apocalyptic number.

1303328233031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303328233031 is a deficient number, since it is larger than the sum of its proper divisors (143851948969).

1303328233031 is a wasteful number, since it uses less digits than its factorization.

1303328233031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30511 (or 30500 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 1303328233031 in words is "one trillion, three hundred three billion, three hundred twenty-eight million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 11 101 121 1111 4049 12221 26339 44539 289729 408949 489929 2660239 3187019 4498439 29262629 49482829 106646611 321888919 1173112721 10771307711 12904239931 118484384821 1303328233031