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10002400143 = 3173753103971
BaseRepresentation
bin10010101000011000…
…01000001110001111
3221211002021120111120
421110030020032033
5130441103301033
64332310052023
7502603666311
oct112414101617
927732246446
1010002400143
1142731042aa
121b3194a013
13c3534aa88
146ac5c97b1
153d81d41b3
hex25430838f

10002400143 has 64 divisors (see below), whose sum is σ = 14935145472. Its totient is φ = 5926901760.

The previous prime is 10002400141. The next prime is 10002400159. The reversal of 10002400143 is 34100420001.

It is a Cunningham number, because it is equal to 1000122-1.

It is not a de Polignac number, because 10002400143 - 21 = 10002400141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002400141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10300648 + ... + 10301618.

It is an arithmetic number, because the mean of its divisors is an integer number (233361648).

Almost surely, 210002400143 is an apocalyptic number.

10002400143 is a deficient number, since it is larger than the sum of its proper divisors (4932745329).

10002400143 is a wasteful number, since it uses less digits than its factorization.

10002400143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10002400143 its reverse (34100420001), we get a palindrome (44102820144).

The spelling of 10002400143 in words is "ten billion, two million, four hundred thousand, one hundred forty-three".

Divisors: 1 3 17 37 51 53 103 111 159 309 629 901 971 1751 1887 1961 2703 2913 3811 5253 5459 5883 11433 16377 16507 33337 35927 49521 51463 64787 92803 100011 100013 107781 154389 194361 201983 278409 300039 605949 610759 874871 1700221 1832277 1904131 2624613 3433711 3700481 5100663 5300689 5712393 10301133 11101443 15902067 32370227 62908177 90111713 97110681 188724531 196125493 270335139 588376479 3334133381 10002400143