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1020142515 = 35727319013
BaseRepresentation
bin111100110011100…
…010001110110011
32122002120121110010
4330303202032303
54042124030030
6245121110003
734165032300
oct7463421663
92562517403
101020142515
11483931197
12245788303
13133470432
14996b20a7
155e85e6b0
hex3cce23b3

1020142515 has 48 divisors (see below), whose sum is σ = 1924825248. Its totient is φ = 459938304.

The previous prime is 1020142507. The next prime is 1020142517. The reversal of 1020142515 is 5152410201.

It is not a de Polignac number, because 1020142515 - 23 = 1020142507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020142491 and 1020142500.

It is not an unprimeable number, because it can be changed into a prime (1020142517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44149 + ... + 63161.

It is an arithmetic number, because the mean of its divisors is an integer number (40100526).

Almost surely, 21020142515 is an apocalyptic number.

1020142515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020142515 is a deficient number, since it is larger than the sum of its proper divisors (904682733).

1020142515 is a wasteful number, since it uses less digits than its factorization.

1020142515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1020142515 is about 31939.6699262845. The cubic root of 1020142515 is about 1006.6695893492.

Adding to 1020142515 its reverse (5152410201), we get a palindrome (6172552716).

The spelling of 1020142515 in words is "one billion, twenty million, one hundred forty-two thousand, five hundred fifteen".

Divisors: 1 3 5 7 15 21 35 49 73 105 147 219 245 365 511 735 1095 1533 2555 3577 7665 10731 17885 19013 53655 57039 95065 133091 285195 399273 665455 931637 1387949 1996365 2794911 4163847 4658185 6939745 9715643 13974555 20819235 29146929 48578215 68009501 145734645 204028503 340047505 1020142515