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131041103424 = 26371171127983
BaseRepresentation
bin111101000001010101…
…0001000111001000000
3110112020110221210000220
41322002222020321000
54121333010302144
6140111025343040
712316215000210
oct1720252107100
9415213853026
10131041103424
1150635317590
1221491497a80
13c4847a386a
1464b1876240
15361e463919
hex1e82a88e40

131041103424 has 448 divisors, whose sum is σ = 442254753792. Its totient is φ = 33259161600.

The previous prime is 131041103407. The next prime is 131041103437. The reversal of 131041103424 is 424301140131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131041103394 and 131041103403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133306837 + ... + 133307819.

Almost surely, 2131041103424 is an apocalyptic number.

131041103424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221127376896).

131041103424 is an abundant number, since it is smaller than the sum of its proper divisors (311213650368).

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

131041103424 is a wasteful number, since it uses less digits than its factorization.

131041103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131041103424 its reverse (424301140131), we get a palindrome (555342243555).

The spelling of 131041103424 in words is "one hundred thirty-one billion, forty-one million, one hundred three thousand, four hundred twenty-four".