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1002414141 = 321917932749
BaseRepresentation
bin111011101111111…
…010000000111101
32120212012220200200
4323233322000331
54023104223031
6243245114113
733561244131
oct7357720075
92525186620
101002414141
11474922643
1223b858939
1312c8a3c81
14971b93c1
155d00b8e6
hex3bbfa03d

1002414141 has 24 divisors (see below), whose sum is σ = 1532700000. Its totient is φ = 629547552.

The previous prime is 1002414131. The next prime is 1002414169. The reversal of 1002414141 is 1414142001.

1002414141 is a `hidden beast` number, since 10 + 0 + 241 + 414 + 1 = 666.

It is not a de Polignac number, because 1002414141 - 213 = 1002405949 is a prime.

It is a super-2 number, since 2×10024141412 = 2009668220153535762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002414131) 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 23 ways as a sum of consecutive naturals, for example, 14235 + ... + 46983.

It is an arithmetic number, because the mean of its divisors is an integer number (63862500).

Almost surely, 21002414141 is an apocalyptic number.

It is an amenable number.

1002414141 is a deficient number, since it is larger than the sum of its proper divisors (530285859).

1002414141 is a wasteful number, since it uses less digits than its factorization.

1002414141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32953 (or 32950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1002414141 is about 31660.9245127176. The cubic root of 1002414141 is about 1000.8040669697.

Adding to 1002414141 its reverse (1414142001), we get a palindrome (2416556142).

The spelling of 1002414141 in words is "one billion, two million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 19 57 171 179 537 1611 3401 10203 30609 32749 98247 294741 622231 1866693 5600079 5862071 17586213 52758639 111379349 334138047 1002414141