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431420322102 = 2371117137400949
BaseRepresentation
bin1100100011100101010…
…01111011000100110110
31112020120102110010000020
412101302221323010312
524032022100301402
6530105230430010
743111666142430
oct6216251730466
91466512403006
10431420322102
11156a67585450
126b741962306
13318b5048b03
1416c490cd650
15b35007d8bc
hex6472a7b136

431420322102 has 128 divisors (see below), whose sum is σ = 1147345689600. Its totient is φ = 104695541760.

The previous prime is 431420322049. The next prime is 431420322103. The reversal of 431420322102 is 201223024134.

It is a happy number.

It is a super-2 number, since 2×4314203221022 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431420322103) 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, 875524 + ... + 1276472.

It is an arithmetic number, because the mean of its divisors is an integer number (8963638200).

Almost surely, 2431420322102 is an apocalyptic number.

431420322102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 431420322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573672844800).

431420322102 is an abundant number, since it is smaller than the sum of its proper divisors (715925367498).

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

431420322102 is a wasteful number, since it uses less digits than its factorization.

431420322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401126.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431420322102 its reverse (201223024134), we get a palindrome (632643346236).

It can be divided in two parts, 43142032 and 2102, that added together give a palindrome (43144134).

The spelling of 431420322102 in words is "four hundred thirty-one billion, four hundred twenty million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 137 154 187 231 238 274 357 374 411 462 561 714 822 959 1122 1309 1507 1918 2329 2618 2877 3014 3927 4521 4658 5754 6987 7854 9042 10549 13974 16303 21098 25619 31647 32606 48909 51238 63294 76857 97818 153714 179333 358666 400949 537999 801898 1075998 1202847 2405694 2806643 4410439 5613286 6816133 8419929 8820878 13231317 13632266 16839858 20448399 26462634 30873073 40896798 47712931 54930013 61746146 74977463 92619219 95425862 109860026 143138793 149954926 164790039 185238438 224932389 286277586 329580078 384510091 449864778 524842241 604230143 769020182 933810221 1049684482 1153530273 1208460286 1574526723 1812690429 1867620442 2307060546 2801430663 3149053446 3625380858 4229611001 5602861326 6536671547 8459222002 10271912431 12688833003 13073343094 19610014641 20543824862 25377666006 30815737293 39220029282 61631474586 71903387017 143806774034 215710161051 431420322102