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103072042612 = 2271119137128563
BaseRepresentation
bin101111111111110010…
…0101000111001110100
3100212001021020021110201
41133333210220321310
53142042420330422
6115203423330244
710306135622650
oct1377744507164
9325037207421
10103072042612
113a7925321a0
1217b86750984
1399480c9436
144dbb05ba60
152a33cae727
hex17ff928e74

103072042612 has 96 divisors (see below), whose sum is σ = 238450222080. Its totient is φ = 37766373120.

The previous prime is 103072042583. The next prime is 103072042651. The reversal of 103072042612 is 216240270301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737443 + ... + 866005.

It is an arithmetic number, because the mean of its divisors is an integer number (2483856480).

Almost surely, 2103072042612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103072042612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119225111040).

103072042612 is an abundant number, since it is smaller than the sum of its proper divisors (135378179468).

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

103072042612 is a wasteful number, since it uses less digits than its factorization.

103072042612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128741 (or 128739 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 103072042612 in words is "one hundred three billion, seventy-two million, forty-two thousand, six hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 137 154 209 266 274 308 418 532 548 836 959 1463 1507 1918 2603 2926 3014 3836 5206 5852 6028 10412 10549 18221 21098 28633 36442 42196 57266 72884 114532 128563 200431 257126 400862 514252 801724 899941 1414193 1799882 2442697 2828386 3599764 4885394 5656772 9770788 9899351 17098879 17613131 19798702 26869667 34197758 35226262 39597404 53739334 68395516 70452524 107478668 123291917 188087669 193744441 246583834 334649489 376175338 387488882 493167668 669298978 752350676 774977764 1338597956 1356211087 2342546423 2712422174 3681144379 4685092846 5424844348 7362288758 9370185692 14724577516 25768010653 51536021306 103072042612