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1331012031003 = 33677911382421
BaseRepresentation
bin10011010111100110011…
…111111101001000011011
311201020120111221212011000
4103113212133331020123
5133301403034443003
62455243011040043
7165106501410054
oct23274637751033
94636514855130
101331012031003
1147352a657086
12195b612a0023
139868b04c845
14485c819372b
152495180a1a3
hex135e67fd21b

1331012031003 has 64 divisors (see below), whose sum is σ = 2044593100800. Its totient is φ = 855385090560.

The previous prime is 1331012030983. The next prime is 1331012031031. The reversal of 1331012031003 is 3001302101331.

It is a happy number.

1331012031003 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 20 + 310 + 0 + 3 = 666.

It is not a de Polignac number, because 1331012031003 - 218 = 1331011768859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331012031703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16107733 + ... + 16190153.

It is an arithmetic number, because the mean of its divisors is an integer number (31946767200).

Almost surely, 21331012031003 is an apocalyptic number.

1331012031003 is a deficient number, since it is larger than the sum of its proper divisors (713581069797).

1331012031003 is a wasteful number, since it uses less digits than its factorization.

1331012031003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82689 (or 82683 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331012031003 its reverse (3001302101331), we get a palindrome (4332314132334).

The spelling of 1331012031003 in words is "one trillion, three hundred thirty-one billion, twelve million, thirty-one thousand, three".

Divisors: 1 3 9 27 67 79 113 201 237 339 603 711 1017 1809 2133 3051 5293 7571 8927 15879 22713 26781 47637 68139 80343 82421 142911 204417 241029 247263 598109 741789 1794327 2225367 5382981 5522207 6511259 9313573 16148943 16566621 19533777 27940719 49699863 58601331 83822157 149099589 175803993 251466471 436254353 624009391 735772267 1308763059 1872028173 2207316801 3926289177 5616084519 6621950403 11778867531 16848253557 19865851209 49296741889 147890225667 443670677001 1331012031003