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131202202032 = 24341126934213
BaseRepresentation
bin111101000110001000…
…0101011100110110000
3110112122201002102210000
41322030100223212300
54122200230431112
6140135022310000
712323212213356
oct1721420534660
9415581072700
10131202202032
115070824a330
1221517428300
13c4abc8a395
1464c900d7d6
15362d6867dc
hex1e8c42b9b0

131202202032 has 200 divisors, whose sum is σ = 415810953360. Its totient is φ = 39609285120.

The previous prime is 131202202009. The next prime is 131202202093. The reversal of 131202202032 is 230202202131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131202201996 and 131202202014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3817758 + ... + 3851970.

Almost surely, 2131202202032 is an apocalyptic number.

131202202032 is a gapful number since it is divisible by the number (12) 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 131202202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207905476680).

131202202032 is an abundant number, since it is smaller than the sum of its proper divisors (284608751328).

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

131202202032 is a wasteful number, since it uses less digits than its factorization.

131202202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34513 (or 34498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131202202032 its reverse (230202202131), we get a palindrome (361404404163).

Subtracting 131202202032 from its reverse (230202202131), we obtain a palindrome (99000000099).

The spelling of 131202202032 in words is "one hundred thirty-one billion, two hundred two million, two hundred two thousand, thirty-two".