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131100223320 = 233251124496703
BaseRepresentation
bin111101000011000101…
…1101010011101011000
3110112101121012101021200
41322012023222131120
54121443124121240
6140120540434200
712320533340343
oct1720613523530
9415347171250
10131100223320
1150665727200
12214a9248960
13c493b03051
1464b966545a
153624740930
hex1e862ea758

131100223320 has 288 divisors, whose sum is σ = 469444248000. Its totient is φ = 31706357760.

The previous prime is 131100223301. The next prime is 131100223327. The reversal of 131100223320 is 23322001131.

131100223320 is a `hidden beast` number, since 1 + 311 + 0 + 0 + 22 + 332 + 0 = 666.

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 = 131100223293 and 131100223302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100223327) 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 71 ways as a sum of consecutive naturals, for example, 19555089 + ... + 19561791.

It is an arithmetic number, because the mean of its divisors is an integer number (1630014750).

Almost surely, 2131100223320 is an apocalyptic number.

131100223320 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 131100223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234722124000).

131100223320 is an abundant number, since it is smaller than the sum of its proper divisors (338344024680).

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

131100223320 is a wasteful number, since it uses less digits than its factorization.

131100223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7173 counting only the distinct ones).

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

Adding to 131100223320 its reverse (23322001131), we get a palindrome (154422224451).

The spelling of 131100223320 in words is "one hundred thirty-one billion, one hundred million, two hundred twenty-three thousand, three hundred twenty".