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1005242301 = 327223231139
BaseRepresentation
bin111011111010101…
…100011110111101
32121001112121012100
4323322230132331
54024320223201
6243425455313
733624263400
oct7372543675
92531477170
101005242301
11476484468
122407a1539
1313035433b
1497713d37
155d3b9886
hex3beac7bd

1005242301 has 108 divisors (see below), whose sum is σ = 1835783040. Its totient is φ = 527899680.

The previous prime is 1005242281. The next prime is 1005242323. The reversal of 1005242301 is 1032425001.

It is not a de Polignac number, because 1005242301 - 214 = 1005225917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005242201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7231890 + ... + 7232028.

Almost surely, 21005242301 is an apocalyptic number.

It is an amenable number.

1005242301 is a deficient number, since it is larger than the sum of its proper divisors (830540739).

1005242301 is a wasteful number, since it uses less digits than its factorization.

1005242301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1005242301 is about 31705.5563111578. The cubic root of 1005242301 is about 1001.7443890043.

Adding to 1005242301 its reverse (1032425001), we get a palindrome (2037667302).

The spelling of 1005242301 in words is "one billion, five million, two hundred forty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 23 31 49 63 69 93 139 147 161 207 217 279 417 441 483 529 651 713 973 1127 1251 1449 1519 1587 1953 2139 2919 3197 3381 3703 4309 4557 4761 4991 6417 6811 8757 9591 10143 11109 12927 13671 14973 16399 20433 22379 25921 28773 30163 33327 34937 38781 44919 49197 61299 67137 73531 77763 90489 99107 104811 114793 147591 156653 201411 211141 220593 233289 271467 297321 314433 344379 469959 514717 633423 661779 693749 803551 891963 1033137 1409877 1544151 1900269 2081247 2279461 2410653 3603019 4632453 4856243 6243741 6838383 7231959 10809057 14568729 15956227 20515149 32427171 43706187 47868681 111693589 143606043 335080767 1005242301