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106214262563 is a prime number
BaseRepresentation
bin110001011101011011…
…1010000011100100011
3101011011020212120220102
41202322313100130203
53220011322400223
6120443312133015
710450042223033
oct1427267203443
9334136776812
10106214262563
1141055200592
1218702b3716b
13a0290b7596
1451d84c58c3
152b69a97928
hex18badd0723

106214262563 has 2 divisors, whose sum is σ = 106214262564. Its totient is φ = 106214262562.

The previous prime is 106214262541. The next prime is 106214262589. The reversal of 106214262563 is 365262412601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106214262563 - 212 = 106214258467 is a prime.

It is a super-2 number, since 2×1062142625632 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106214262503) 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 as a sum of consecutive naturals, namely, 53107131281 + 53107131282.

It is an arithmetic number, because the mean of its divisors is an integer number (53107131282).

Almost surely, 2106214262563 is an apocalyptic number.

106214262563 is a deficient number, since it is larger than the sum of its proper divisors (1).

106214262563 is an equidigital number, since it uses as much as digits as its factorization.

106214262563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 106214262563 in words is "one hundred six billion, two hundred fourteen million, two hundred sixty-two thousand, five hundred sixty-three".