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1021314141 = 32294195441
BaseRepresentation
bin111100111000000…
…000010001011101
32122011210010121200
4330320000101131
54042424023031
6245202150113
734211012151
oct7470002135
92564703550
101021314141
11484561481
12246052339
131337907c3
14998d9061
155e9e18e6
hex3ce0045d

1021314141 has 24 divisors (see below), whose sum is σ = 1563339960. Its totient is φ = 641356800.

The previous prime is 1021314139. The next prime is 1021314157. The reversal of 1021314141 is 1414131201.

It can be written as a sum of positive squares in 4 ways, for example, as 111386916 + 909927225 = 10554^2 + 30165^2 .

It is not a de Polignac number, because 1021314141 - 21 = 1021314139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021314181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37020 + ... + 58421.

It is an arithmetic number, because the mean of its divisors is an integer number (65139165).

Almost surely, 21021314141 is an apocalyptic number.

It is an amenable number.

1021314141 is a deficient number, since it is larger than the sum of its proper divisors (542025819).

1021314141 is a wasteful number, since it uses less digits than its factorization.

1021314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95517 (or 95514 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1021314141 is about 31958.0058983661. The cubic root of 1021314141 is about 1007.0548260551.

Adding to 1021314141 its reverse (1414131201), we get a palindrome (2435445342).

The spelling of 1021314141 in words is "one billion, twenty-one million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 95441 286323 858969 2767789 3913081 8303367 11739243 24910101 35217729 113479349 340438047 1021314141