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2041145001 = 34717367577
BaseRepresentation
bin111100110101001…
…0110011010101001
312021020202220120000
41321222112122221
513140013120001
6534312453213
7101403306030
oct17152263251
95236686500
102041145001
1195819a4a5
1248b6aa209
13266b5210c
14155129717
15be2dda86
hex79a966a9

2041145001 has 80 divisors (see below), whose sum is σ = 3706154496. Its totient is φ = 1092870144.

The previous prime is 2041144981. The next prime is 2041145011. The reversal of 2041145001 is 1005411402.

2041145001 is a `hidden beast` number, since 204 + 11 + 450 + 0 + 1 = 666.

It is not a de Polignac number, because 2041145001 - 25 = 2041144969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2041145011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3537225 + ... + 3537801.

Almost surely, 22041145001 is an apocalyptic number.

2041145001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2041145001 is a deficient number, since it is larger than the sum of its proper divisors (1665009495).

2041145001 is a wasteful number, since it uses less digits than its factorization.

2041145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2041145001 is about 45179.0327585707. The cubic root of 2041145001 is about 1268.5023785364.

Adding to 2041145001 its reverse (1005411402), we get a palindrome (3046556403).

The spelling of 2041145001 in words is "two billion, forty-one million, one hundred forty-five thousand, one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 367 459 567 577 1071 1101 1377 1731 2569 3213 3303 4039 5193 6239 7707 9639 9809 9909 12117 15579 18717 23121 29427 29727 36351 43673 46737 56151 68663 69363 88281 109053 131019 168453 205989 208089 211759 264843 327159 393057 505359 617967 635277 794529 1179171 1482313 1853901 1905831 3537513 3599903 4446939 5561703 5717493 10799709 13340817 17152479 25199321 32399127 40022451 75597963 97197381 120067353 226793889 291592143 680381667 2041145001