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131340030132 = 22385320996113
BaseRepresentation
bin111101001010001111…
…0011101000010110100
3110120000022102211101110
41322110132131002310
54122441021431012
6140200424355020
712326504556513
oct1722436350264
9416008384343
10131340030132
1150779028653
1221555615a70
13c5016b6c7c
1464dd44a67a
15363a80e73c
hex1e9479d0b4

131340030132 has 48 divisors (see below), whose sum is σ = 307015732800. Its totient is φ = 43700702208.

The previous prime is 131340030127. The next prime is 131340030161. The reversal of 131340030132 is 231030043131.

It is a junction number, because it is equal to n+sod(n) for n = 131340030099 and 131340030108.

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 15 ways as a sum of consecutive naturals, for example, 21482308 + ... + 21488420.

It is an arithmetic number, because the mean of its divisors is an integer number (6396161100).

Almost surely, 2131340030132 is an apocalyptic number.

131340030132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131340030132 is an abundant number, since it is smaller than the sum of its proper divisors (175675702668).

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

131340030132 is a wasteful number, since it uses less digits than its factorization.

131340030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131340030132 its reverse (231030043131), we get a palindrome (362370073263).

The spelling of 131340030132 in words is "one hundred thirty-one billion, three hundred forty million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 853 1706 2099 2559 3412 4198 5118 6113 6297 8396 10236 12226 12594 18339 24452 25188 36678 73356 1790447 3580894 5214389 5371341 7161788 10428778 10742682 12831187 15643167 20857556 21485364 25662374 31286334 38493561 51324748 62572668 76987122 153974244 10945002511 21890005022 32835007533 43780010044 65670015066 131340030132