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1010136033 = 32292317421
BaseRepresentation
bin111100001101010…
…111001111100001
32121101202020010200
4330031113033201
54032043323113
6244122415413
734014005004
oct7415271741
92541666120
101010136033
11479217175
12242361569
1313137893a
149822953b
155da34873
hex3c3573e1

1010136033 has 36 divisors (see below), whose sum is σ = 1519501308. Its totient is φ = 646611840.

The previous prime is 1010136031. The next prime is 1010136059. The reversal of 1010136033 is 3306310101.

It can be written as a sum of positive squares in 6 ways, for example, as 328769424 + 681366609 = 18132^2 + 26103^2 .

It is not a de Polignac number, because 1010136033 - 21 = 1010136031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010135997 and 1010136015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010136031) 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 35 ways as a sum of consecutive naturals, for example, 2399163 + ... + 2399583.

Almost surely, 21010136033 is an apocalyptic number.

It is an amenable number.

1010136033 is a deficient number, since it is larger than the sum of its proper divisors (509365275).

1010136033 is a wasteful number, since it uses less digits than its factorization.

1010136033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1010136033 is about 31782.6372883057. The cubic root of 1010136033 is about 1003.3673260547.

Adding to 1010136033 its reverse (3306310101), we get a palindrome (4316446134).

The spelling of 1010136033 in words is "one billion, ten million, one hundred thirty-six thousand, thirty-three".

Divisors: 1 3 9 29 87 261 317 421 841 951 1263 2523 2853 3789 7569 9193 12209 27579 36627 82737 109881 133457 266597 354061 400371 799791 1062183 1201113 2399373 3186549 3870253 11610759 34832277 112237337 336712011 1010136033