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10143312102 = 2337112519719
BaseRepresentation
bin10010111001001011…
…01010100011100110
3222011220102122101000
421130211222203212
5131233141441402
64354302214130
7506234505330
oct113445524346
928156378330
1010143312102
1143356a9570
121b70b84346
13c585b7231
146c31ca450
153e576ac1c
hex25c96a8e6

10143312102 has 128 divisors (see below), whose sum is σ = 28217548800. Its totient is φ = 2623860000.

The previous prime is 10143312061. The next prime is 10143312103. The reversal of 10143312102 is 20121334101.

10143312102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143312103) 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 63 ways as a sum of consecutive naturals, for example, 1038799 + ... + 1048517.

It is an arithmetic number, because the mean of its divisors is an integer number (220449600).

Almost surely, 210143312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108774400).

10143312102 is an abundant number, since it is smaller than the sum of its proper divisors (18074236698).

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

10143312102 is a wasteful number, since it uses less digits than its factorization.

10143312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10143312102 its reverse (20121334101), we get a palindrome (30264646203).

The spelling of 10143312102 in words is "ten billion, one hundred forty-three million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 251 297 378 462 502 594 693 753 1386 1506 1757 2079 2259 2761 3514 4158 4518 5271 5522 6777 8283 9719 10542 13554 15813 16566 19327 19438 24849 29157 31626 38654 47439 49698 57981 58314 68033 74547 87471 94878 106909 115962 136066 149094 173943 174942 204099 213818 262413 320727 347886 408198 521829 524826 612297 641454 748363 962181 1043658 1224594 1496726 1836891 1924362 2245089 2439469 2886543 3673782 4490178 4878938 5773086 6735267 7318407 13470534 14636814 17076283 20205801 21955221 26834159 34152566 40411602 43910442 51228849 53668318 65865663 80502477 102457698 131731326 153686547 161004954 187839113 241507431 307373094 375678226 461059641 483014862 563517339 724522293 922119282 1127034678 1449044586 1690552017 3381104034 5071656051 10143312102