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1002114141 = 3726817103
BaseRepresentation
bin111011101110110…
…000110001011101
32120211122200011120
4323232300301131
54023020123031
6243234441153
733555554400
oct7356606135
92524580146
101002114141
11474738206
1223b7331b9
1312c7ca562
149713bd37
155ce9ca96
hex3bbb0c5d

1002114141 has 12 divisors (see below), whose sum is σ = 1554299712. Its totient is φ = 572636568.

The previous prime is 1002114133. The next prime is 1002114167. The reversal of 1002114141 is 1414112001.

It is not a de Polignac number, because 1002114141 - 23 = 1002114133 is a prime.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1002114141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002114121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3408405 + ... + 3408698.

It is an arithmetic number, because the mean of its divisors is an integer number (129524976).

Almost surely, 21002114141 is an apocalyptic number.

It is an amenable number.

1002114141 is a deficient number, since it is larger than the sum of its proper divisors (552185571).

1002114141 is an equidigital number, since it uses as much as digits as its factorization.

1002114141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817120 (or 6817113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1002114141 is about 31656.1864569945. The cubic root of 1002114141 is about 1000.7042176278.

Adding to 1002114141 its reverse (1414112001), we get a palindrome (2416226142).

The spelling of 1002114141 in words is "one billion, two million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 6817103 20451309 47719721 143159163 334038047 1002114141