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1002142461 = 31572127691
BaseRepresentation
bin111011101110110…
…111101011111101
32120211201010000110
4323232313223331
54023022024321
6243235220233
733556033065
oct7356675375
92524633013
101002142461
11474757511
1223b747679
1312c80a408
14971483a5
155cea6176
hex3bbb7afd

1002142461 has 8 divisors (see below), whose sum is σ = 1344701344. Its totient is φ = 663839280.

The previous prime is 1002142439. The next prime is 1002142481. The reversal of 1002142461 is 1642412001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1002142461 - 29 = 1002141949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002142411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063375 + ... + 1064316.

It is an arithmetic number, because the mean of its divisors is an integer number (168087668).

Almost surely, 21002142461 is an apocalyptic number.

It is an amenable number.

1002142461 is a deficient number, since it is larger than the sum of its proper divisors (342558883).

1002142461 is a wasteful number, since it uses less digits than its factorization.

1002142461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127851.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1002142461 is about 31656.6337597667. The cubic root of 1002142461 is about 1000.7136442574.

Adding to 1002142461 its reverse (1642412001), we get a palindrome (2644554462).

The spelling of 1002142461 in words is "one billion, two million, one hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 3 157 471 2127691 6383073 334047487 1002142461