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131522140260 = 223357611095233
BaseRepresentation
bin111101001111101010…
…1001001100001100100
3110120111000002222112000
41322133111021201210
54123324131442020
6140230451525300
712334145514030
oct1723725114144
9416430088460
10131522140260
1150861901695
12215a65b9830
13c530349444
1465196d31c0
15364b7d3090
hex1e9f549864

131522140260 has 384 divisors, whose sum is σ = 479752627200. Its totient is φ = 29292503040.

The previous prime is 131522140247. The next prime is 131522140261. The reversal of 131522140260 is 62041225131.

131522140260 is a `hidden beast` number, since 1 + 31 + 5 + 221 + 402 + 6 + 0 = 666.

It is a super-2 number, since 2×1315221402602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131522140261) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25130604 + ... + 25135836.

It is an arithmetic number, because the mean of its divisors is an integer number (1249355800).

Almost surely, 2131522140260 is an apocalyptic number.

131522140260 is a gapful number since it is divisible by the number (10) 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 131522140260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239876313600).

131522140260 is an abundant number, since it is smaller than the sum of its proper divisors (348230486940).

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

131522140260 is a wasteful number, since it uses less digits than its factorization.

131522140260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131522140260 its reverse (62041225131), we get a palindrome (193563365391).

It can be divided in two parts, 1315221 and 40260, that added together give a triangular number (1355481 = T1646).

The spelling of 131522140260 in words is "one hundred thirty-one billion, five hundred twenty-two million, one hundred forty thousand, two hundred sixty".