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1002142401 = 313171511527
BaseRepresentation
bin111011101110110…
…111101011000001
32120211201002221020
4323232313223001
54023022024101
6243235220053
733556032651
oct7356675301
92524632836
101002142401
11474757467
1223b747629
1312c80a390
1497148361
155cea6136
hex3bbb7ac1

1002142401 has 16 divisors (see below), whose sum is σ = 1523620224. Its totient is φ = 580425984.

The previous prime is 1002142387. The next prime is 1002142409. The reversal of 1002142401 is 1042412001.

It is a de Polignac number, because none of the positive numbers 2k-1002142401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002142409) 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 15 ways as a sum of consecutive naturals, for example, 755101 + ... + 756426.

It is an arithmetic number, because the mean of its divisors is an integer number (95226264).

Almost surely, 21002142401 is an apocalyptic number.

It is an amenable number.

1002142401 is a deficient number, since it is larger than the sum of its proper divisors (521477823).

1002142401 is a wasteful number, since it uses less digits than its factorization.

1002142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511560.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1002142401 is about 31656.6328120980. The cubic root of 1002142401 is about 1000.7136242859.

Adding to 1002142401 its reverse (1042412001), we get a palindrome (2044554402).

The spelling of 1002142401 in words is "one billion, two million, one hundred forty-two thousand, four hundred one".

Divisors: 1 3 13 17 39 51 221 663 1511527 4534581 19649851 25695959 58949553 77087877 334047467 1002142401