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131124423030042 = 231313977231565987
BaseRepresentation
bin11101110100000111001000…
…101001111111010100011010
3122012021101001111022112022210
4131310013020221333110122
5114141320304243430132
61142513421153455550
736422266303600311
oct3564071051772432
9565241044275283
10131124423030042
1138864612437172
121285895bb715b6
135821c981a2710
14245465513d278
151025ca924cbcc
hex7741c8a7f51a

131124423030042 has 64 divisors (see below), whose sum is σ = 284490659658240. Its totient is φ = 40050505370304.

The previous prime is 131124423030023. The next prime is 131124423030043. The reversal of 131124423030042 is 240030324421131.

It is a super-2 number, since 2×1311244230300422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131124423029991 and 131124423030009.

It is not an unprimeable number, because it can be changed into a prime (131124423030043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82949773 + ... + 84515759.

It is an arithmetic number, because the mean of its divisors is an integer number (4445166557160).

Almost surely, 2131124423030042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131124423030042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142245329829120).

131124423030042 is an abundant number, since it is smaller than the sum of its proper divisors (153366236628198).

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

131124423030042 is a wasteful number, since it uses less digits than its factorization.

131124423030042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573867.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131124423030042 its reverse (240030324421131), we get a palindrome (371154747451173).

The spelling of 131124423030042 in words is "one hundred thirty-one trillion, one hundred twenty-four billion, four hundred twenty-three million, thirty thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 3614 5421 7723 10842 15446 23169 46338 100399 200798 301197 602394 1073497 1565987 2146994 3131974 3220491 4697961 6440982 9395922 13955461 20357831 27910922 40715662 41866383 61073493 83732766 122146986 217672193 435344386 653016579 1306033158 2829738509 5659477018 8489215527 12094117601 16978431054 24188235202 36282352803 72564705606 157223528813 314447057626 471670586439 943341172878 1681082346539 3362164693078 5043247039617 10086494079234 21854070505007 43708141010014 65562211515021 131124423030042