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431004120102 = 232295920116959
BaseRepresentation
bin1100100010110011101…
…10001111010000100110
31112012111102021212012100
412101121312033100212
524030144023320402
6530000042032530
743065453400503
oct6213166172046
91465442255170
10431004120102
11156873653756
126b6464a8746
1331849a53a3a
1416c09b0c4aa
15b32876971c
hex6459d8f426

431004120102 has 96 divisors (see below), whose sum is σ = 983047104000. Its totient is φ = 136275491520.

The previous prime is 431004120067. The next prime is 431004120119. The reversal of 431004120102 is 201021400134.

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, 61931299 + ... + 61938257.

It is an arithmetic number, because the mean of its divisors is an integer number (10240074000).

Almost surely, 2431004120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431004120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491523552000).

431004120102 is an abundant number, since it is smaller than the sum of its proper divisors (552042983898).

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

431004120102 is a wasteful number, since it uses less digits than its factorization.

431004120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 431004120102 its reverse (201021400134), we get a palindrome (632025520236).

The spelling of 431004120102 in words is "four hundred thirty-one billion, four million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 59 87 118 174 177 261 354 522 531 1062 1711 2011 3422 4022 5133 6033 6959 10266 12066 13918 15399 18099 20877 30798 36198 41754 58319 62631 116638 118649 125262 174957 201811 237298 349914 355947 403622 410581 524871 605433 711894 821162 1049742 1067841 1210866 1231743 1816299 2135682 2463486 3440821 3632598 3695229 6881642 7390458 10322463 11906849 13994549 20644926 23813698 27989098 30967389 35720547 41983647 61934778 71441094 83967294 107161641 125950941 214323282 251901882 405841921 811683842 825678391 1217525763 1651356782 2435051526 2477035173 3652577289 4954070346 7305154578 7431105519 14862211038 23944673339 47889346678 71834020017 143668040034 215502060051 431004120102