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103042100010 = 23531179701883
BaseRepresentation
bin101111111110111001…
…0011010101100101010
3100211222011220000221110
41133331302122230222
53142012234200020
6115200433451150
710305323253513
oct1377562325452
9324864800843
10103042100010
113a777640943
1217b78710ab6
139941b44615
144db70a5a0a
152a313478e0
hex17fdc9ab2a

103042100010 has 128 divisors (see below), whose sum is σ = 257361960960. Its totient is φ = 26375328000.

The previous prime is 103042100009. The next prime is 103042100053. The reversal of 103042100010 is 10001240301.

It is a happy number.

103042100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 116695029 + ... + 116695911.

It is an arithmetic number, because the mean of its divisors is an integer number (2010640320).

Almost surely, 2103042100010 is an apocalyptic number.

103042100010 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 103042100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128680980480).

103042100010 is an abundant number, since it is smaller than the sum of its proper divisors (154319860950).

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

103042100010 is a wasteful number, since it uses less digits than its factorization.

103042100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103042100010 its reverse (10001240301), we get a palindrome (113043340311).

The spelling of 103042100010 in words is "one hundred three billion, forty-two million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 179 186 310 358 465 537 701 883 895 930 1074 1402 1766 1790 2103 2649 2685 3505 4206 4415 5298 5370 5549 7010 8830 10515 11098 13245 16647 21030 21731 26490 27373 27745 33294 43462 54746 55490 65193 82119 83235 108655 125479 130386 136865 158057 164238 166470 217310 250958 273730 316114 325965 376437 410595 474171 618983 627395 651930 752874 790285 821190 948342 1237966 1254790 1580570 1856949 1882185 2370855 3094915 3713898 3764370 3889849 4741710 4899767 6189830 7779698 9284745 9799534 11669547 14699301 18569490 19188473 19449245 23339094 24498835 29398602 38376946 38898490 48997670 57565419 58347735 73496505 95942365 110797957 115130838 116695470 146993010 191884730 221595914 287827095 332393871 553989785 575654190 664787742 1107979570 1661969355 3323938710 3434736667 6869473334 10304210001 17173683335 20608420002 34347366670 51521050005 103042100010