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231413141222401 is a prime number
BaseRepresentation
bin110100100111100000010010…
…000101000011010000000001
31010100100212202200211212201011
4310213200102011003100001
5220312433103123104101
62140101421321240521
766513022240142605
oct6447402205032001
91110325680755634
10231413141222401
116780a842323576
1221b55500933141
139c1821ca21528
1441206549c7505
151bb48c0a23751
hexd27812143401

231413141222401 has 2 divisors, whose sum is σ = 231413141222402. Its totient is φ = 231413141222400.

The previous prime is 231413141222359. The next prime is 231413141222443. The reversal of 231413141222401 is 104222141314132.

It is a balanced prime because it is at equal distance from previous prime (231413141222359) and next prime (231413141222443).

It can be written as a sum of positive squares in only one way, i.e., 179057048688400 + 52356092534001 = 13381220^2 + 7235751^2 .

It is a cyclic number.

It is not a de Polignac number, because 231413141222401 - 225 = 231413107667969 is a prime.

It is not a weakly prime, because it can be changed into another prime (231413141292401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115706570611200 + 115706570611201.

It is an arithmetic number, because the mean of its divisors is an integer number (115706570611201).

Almost surely, 2231413141222401 is an apocalyptic number.

It is an amenable number.

231413141222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

231413141222401 is an equidigital number, since it uses as much as digits as its factorization.

231413141222401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 231413141222401 its reverse (104222141314132), we get a palindrome (335635282536533).

The spelling of 231413141222401 in words is "two hundred thirty-one trillion, four hundred thirteen billion, one hundred forty-one million, two hundred twenty-two thousand, four hundred one".