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131101212123 = 357233351001
BaseRepresentation
bin111101000011000111…
…1011011110111011011
3110112101200001121200000
41322012033123313123
54121443402241443
6140121013544043
712320544626220
oct1720617336733
9415350047600
10131101212123
11506662420a2
12214a9645023
13c49408b13b
1464b9841947
1536248888d3
hex1e863dbddb

131101212123 has 48 divisors (see below), whose sum is σ = 234194827776. Its totient is φ = 71657784000.

The previous prime is 131101212097. The next prime is 131101212131. The reversal of 131101212123 is 321212101131.

It is not a de Polignac number, because 131101212123 - 28 = 131101211867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131101212096 and 131101212105.

It is not an unprimeable number, because it can be changed into a prime (131101212133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636378 + ... + 1714623.

It is an arithmetic number, because the mean of its divisors is an integer number (4879058912).

Almost surely, 2131101212123 is an apocalyptic number.

131101212123 is a deficient number, since it is larger than the sum of its proper divisors (103093615653).

131101212123 is an equidigital number, since it uses as much as digits as its factorization.

131101212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351046 (or 3351034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131101212123 its reverse (321212101131), we get a palindrome (452313313254).

The spelling of 131101212123 in words is "one hundred thirty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 1449 1701 1863 4347 5589 13041 39123 3351001 10053003 23457007 30159009 70371021 77073023 90477027 211113063 231219069 271431081 539511161 633339189 693657207 814293243 1618533483 1900017567 2080971621 4855600449 5700052701 6242914863 14566801347 18728744589 43700404041 131101212123