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131022132300 = 2232521924131793
BaseRepresentation
bin111101000000110000…
…1110001010001001100
3110112012011020221112200
41322001201301101030
54121313131213200
6140105111001500
712315564514623
oct1720141612114
9415164227480
10131022132300
115062563a274
1221487069290
13c480890847
1464ad1386ba
15361c967800
hex1e8187144c

131022132300 has 216 divisors, whose sum is σ = 434103830160. Its totient is φ = 32961945600.

The previous prime is 131022132287. The next prime is 131022132331. The reversal of 131022132300 is 3231220131.

131022132300 is a `hidden beast` number, since 1 + 310 + 2 + 21 + 32 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4105204 + ... + 4136996.

Almost surely, 2131022132300 is an apocalyptic number.

131022132300 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 131022132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217051915080).

131022132300 is an abundant number, since it is smaller than the sum of its proper divisors (303081697860).

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

131022132300 is a wasteful number, since it uses less digits than its factorization.

131022132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32073 (or 32063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131022132300 its reverse (3231220131), we get a palindrome (134253352431).

The spelling of 131022132300 in words is "one hundred thirty-one billion, twenty-two million, one hundred thirty-two thousand, three hundred".