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90414000211331 is a prime number
BaseRepresentation
bin10100100011101100100110…
…010111011000010110000011
3102212010111100010112001220202
4110203230212113120112003
543322320333023230311
6520143341314555415
725021124132304416
oct2443544627302603
9385114303461822
1090414000211331
11268993a9038545
12a182a09898b6b
133b5b007cacb94
1418480bd3b5b7d
15a6bd203eae3b
hex523b265d8583

90414000211331 has 2 divisors, whose sum is σ = 90414000211332. Its totient is φ = 90414000211330.

The previous prime is 90414000211291. The next prime is 90414000211357. The reversal of 90414000211331 is 13311200041409.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13311200041409) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90414000211331 is a prime.

It is a super-2 number, since 2×904140002113312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90414000211294 and 90414000211303.

It is not a weakly prime, because it can be changed into another prime (90414000211231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45207000105665 + 45207000105666.

It is an arithmetic number, because the mean of its divisors is an integer number (45207000105666).

Almost surely, 290414000211331 is an apocalyptic number.

90414000211331 is a deficient number, since it is larger than the sum of its proper divisors (1).

90414000211331 is an equidigital number, since it uses as much as digits as its factorization.

90414000211331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 90414000211331 in words is "ninety trillion, four hundred fourteen billion, two hundred eleven thousand, three hundred thirty-one".