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106622246341 = 1353732299257
BaseRepresentation
bin110001101001100101…
…1100101110111000101
3101012012200120022102201
41203103023211313011
53221330243340331
6120552004434501
710463125066102
oct1432313456705
9335180508381
10106622246341
1141244529866
12187b76a8a31
13a092792ac0
145236767aa9
152b907d6a61
hex18d32e5dc5

106622246341 has 32 divisors (see below), whose sum is σ = 119123796960. Its totient is φ = 94814613504.

The previous prime is 106622246327. The next prime is 106622246347. The reversal of 106622246341 is 143642226601.

It can be written as a sum of positive squares in 16 ways, for example, as 19919088225 + 86703158116 = 141135^2 + 294454^2 .

It is not a de Polignac number, because 106622246341 - 211 = 106622244293 is a prime.

It is a super-2 number, since 2×1066222463412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106622246341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106622246347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11513385 + ... + 11522641.

It is an arithmetic number, because the mean of its divisors is an integer number (3722618655).

Almost surely, 2106622246341 is an apocalyptic number.

It is an amenable number.

106622246341 is a deficient number, since it is larger than the sum of its proper divisors (12501550619).

106622246341 is a wasteful number, since it uses less digits than its factorization.

106622246341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 106622246341 in words is "one hundred six billion, six hundred twenty-two million, two hundred forty-six thousand, three hundred forty-one".

Divisors: 1 13 53 73 229 689 949 2977 3869 9257 12137 16717 50297 120341 157781 217321 490621 675761 886001 2119853 6378073 8784893 11518013 27558089 35815333 112352209 154749269 465599329 1460578717 2011740497 8201711257 106622246341