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1003145055 = 35112836659
BaseRepresentation
bin111011110010101…
…100011101011111
32120220121001022120
4323302230131133
54023301120210
6243312514023
733600410103
oct7362543537
92526531276
101003145055
11475281800
1223bb4b913
1312ca9b873
1497329903
155d103270
hex3bcac75f

1003145055 has 48 divisors (see below), whose sum is σ = 1785732480. Its totient is φ = 480441280.

The previous prime is 1003145051. The next prime is 1003145083. The reversal of 1003145055 is 5505413001.

It is not a de Polignac number, because 1003145055 - 22 = 1003145051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003145051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147316 + ... + 153974.

It is an arithmetic number, because the mean of its divisors is an integer number (37202760).

Almost surely, 21003145055 is an apocalyptic number.

1003145055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1003145055 is a deficient number, since it is larger than the sum of its proper divisors (782587425).

1003145055 is a wasteful number, since it uses less digits than its factorization.

1003145055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1003145055 is about 31672.4652498033. The cubic root of 1003145055 is about 1001.0472545417.

Adding to 1003145055 its reverse (5505413001), we get a palindrome (6508558056).

The spelling of 1003145055 in words is "one billion, three million, one hundred forty-five thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 83 121 165 249 363 415 605 913 1245 1815 2739 4565 6659 10043 13695 19977 30129 33295 50215 73249 99885 150645 219747 366245 552697 805739 1098735 1658091 2417217 2763485 4028695 6079667 8290455 12086085 18239001 30398335 66876337 91195005 200629011 334381685 1003145055