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1010024145 = 3251317101561
BaseRepresentation
bin111100001100111…
…011111011010001
32121101112112122200
4330030323323101
54032031233040
6244120153413
734013030544
oct7414737321
92541475580
101010024145
114791500a9
12242308869
13131339a30
14981da85b
155da11630
hex3c33bed1

1010024145 has 48 divisors (see below), whose sum is σ = 1996302672. Its totient is φ = 467988480.

The previous prime is 1010024137. The next prime is 1010024149. The reversal of 1010024145 is 5414200101.

It can be written as a sum of positive squares in 8 ways, for example, as 171400464 + 838623681 = 13092^2 + 28959^2 .

It is not a de Polignac number, because 1010024145 - 23 = 1010024137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010024149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40836 + ... + 60725.

It is an arithmetic number, because the mean of its divisors is an integer number (41589639).

Almost surely, 21010024145 is an apocalyptic number.

1010024145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010024145 is a deficient number, since it is larger than the sum of its proper divisors (986278527).

1010024145 is a wasteful number, since it uses less digits than its factorization.

1010024145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101602 (or 101599 counting only the distinct ones).

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

The square root of 1010024145 is about 31780.8770332098. The cubic root of 1010024145 is about 1003.3302785993.

Adding to 1010024145 its reverse (5414200101), we get a palindrome (6424224246).

The spelling of 1010024145 in words is "one billion, ten million, twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 101561 304683 507805 914049 1320293 1523415 1726537 3960879 4570245 5179611 6601465 8632685 11882637 15538833 19804395 22444981 25898055 59413185 67334943 77694165 112224905 202004829 336674715 1010024145