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1010013102 = 2327292631051
BaseRepresentation
bin111100001100111…
…001001110101110
32121101111222111200
4330030321032232
54032030404402
6244120030330
734012653420
oct7414711656
92541458450
101010013102
1147914287a
122423023a6
131313349b7
14981d6810
155da0d21c
hex3c3393ae

1010013102 has 96 divisors (see below), whose sum is σ = 2599534080. Its totient is φ = 277300800.

The previous prime is 1010013089. The next prime is 1010013149. The reversal of 1010013102 is 2013100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 960477 + ... + 961527.

It is an arithmetic number, because the mean of its divisors is an integer number (27078480).

Almost surely, 21010013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299767040).

1010013102 is an abundant number, since it is smaller than the sum of its proper divisors (1589520978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010013102 is a wasteful number, since it uses less digits than its factorization.

1010013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010013102 is about 31780.7032961827. The cubic root of 1010013102 is about 1003.3266219816.

Adding to 1010013102 its reverse (2013100101), we get a palindrome (3023113203).

The spelling of 1010013102 in words is "one billion, ten million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 263 406 522 526 609 789 1051 1218 1578 1827 1841 2102 2367 3153 3654 3682 4734 5523 6306 7357 7627 9459 11046 14714 15254 16569 18918 22071 22881 30479 33138 44142 45762 53389 60958 66213 68643 91437 106778 132426 137286 160167 182874 213353 274311 276413 320334 426706 480501 548622 552826 640059 829239 961002 1280118 1658478 1920177 1934891 2487717 3840354 3869782 4975434 5804673 8015977 11609346 16031954 17414019 24047931 34828038 48095862 56111839 72143793 112223678 144287586 168335517 336671034 505006551 1010013102