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10044124110 = 23251757111497
BaseRepresentation
bin10010101101010110…
…10010101111001110
3221220222210101000200
421112223102233032
5131032243432420
64340400234330
7503621434446
oct112653225716
927828711020
1010044124110
114294712119
121b4390b9a6
13c40b99207
146b3d6b126
153dbbc6b90
hex256ad2bce

10044124110 has 96 divisors (see below), whose sum is σ = 27701717472. Its totient is φ = 2516244480.

The previous prime is 10044124099. The next prime is 10044124159. The reversal of 10044124110 is 1142144001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867882 + ... + 879378.

It is an arithmetic number, because the mean of its divisors is an integer number (288559557).

Almost surely, 210044124110 is an apocalyptic number.

10044124110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850858736).

10044124110 is an abundant number, since it is smaller than the sum of its proper divisors (17657593362).

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

10044124110 is a wasteful number, since it uses less digits than its factorization.

10044124110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10044124110 its reverse (1142144001), we get a palindrome (11186268111).

The spelling of 10044124110 in words is "ten billion, forty-four million, one hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 571 765 1142 1530 1713 2855 3426 5139 5710 8565 9707 10278 11497 17130 19414 22994 25695 29121 34491 48535 51390 57485 58242 68982 87363 97070 103473 114970 145605 172455 174726 195449 206946 291210 344910 390898 436815 517365 586347 873630 977245 1034730 1172694 1759041 1954490 2931735 3518082 5863470 6564787 8795205 13129574 17590410 19694361 32823935 39388722 59083083 65647870 98471805 111601379 118166166 196943610 223202758 295415415 334804137 558006895 590830830 669608274 1004412411 1116013790 1674020685 2008824822 3348041370 5022062055 10044124110