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142041001310131 = 71121712298026561
BaseRepresentation
bin100000010010111101111111…
…011011010011011110110011
3200121220222122121021202100011
4200102331333123103132303
5122104144432313411011
61222032422444235351
741630060266133350
oct4022757733233663
9617828577252304
10142041001310131
1141293283269200
1213b205b7b3bb57
136134541602911
142710b6d317627
151164c2bd40621
hex812f7f6d37b3

142041001310131 has 48 divisors (see below), whose sum is σ = 189081399971520. Its totient is φ = 104085861580800.

The previous prime is 142041001310101. The next prime is 142041001310147. The reversal of 142041001310131 is 131013100140241.

It is not a de Polignac number, because 142041001310131 - 29 = 142041001309619 is a prime.

It is a super-2 number, since 2×1420410013101312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142041001310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13683091 + ... + 21709651.

It is an arithmetic number, because the mean of its divisors is an integer number (3939195832740).

Almost surely, 2142041001310131 is an apocalyptic number.

142041001310131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142041001310131 is a deficient number, since it is larger than the sum of its proper divisors (47040398661389).

142041001310131 is a wasteful number, since it uses less digits than its factorization.

142041001310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027836 (or 8027825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 142041001310131 its reverse (131013100140241), we get a palindrome (273054101450372).

The spelling of 142041001310131 in words is "one hundred forty-two trillion, forty-one billion, one million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 11 17 77 119 121 187 847 1229 1309 2057 8603 13519 14399 20893 94633 146251 148709 229823 1040963 1608761 2528053 8026561 17696371 56185927 88292171 136451537 618045197 955160759 971213881 1500966907 6798497167 9864643469 10506768349 16510635977 69052504283 108511078159 115574451839 167698938973 759577547113 1173892572811 1193621859749 1844688328703 8355353018243 12912818300921 20291571615733 142041001310131