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131202220032 = 216321371241
BaseRepresentation
bin111101000110001000…
…0110000000000000000
3110112122201010100110200
41322030100300000000
54122200232020112
6140135022525200
712323212320012
oct1721420600000
9415581110420
10131202220032
1150708261904
1221517436800
13c4abc95630
1464c90161b2
15362d68bcdc
hex1e8c430000

131202220032 has 408 divisors, whose sum is σ = 415648160928. Its totient is φ = 39636172800.

The previous prime is 131202220031. The next prime is 131202220063. The reversal of 131202220032 is 230022202131.

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 = 131202219987 and 131202220014.

It is not an unprimeable number, because it can be changed into a prime (131202220031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544407432 + ... + 544407672.

Almost surely, 2131202220032 is an apocalyptic number.

131202220032 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 131202220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207824080464).

131202220032 is an abundant number, since it is smaller than the sum of its proper divisors (284445940896).

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

131202220032 is an equidigital number, since it uses as much as digits as its factorization.

131202220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

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

Adding to 131202220032 its reverse (230022202131), we get a palindrome (361224422163).

The spelling of 131202220032 in words is "one hundred thirty-one billion, two hundred two million, two hundred twenty thousand, thirty-two".