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106173395317 = 11223472113847
BaseRepresentation
bin110001011100001101…
…1010111000101110101
3101011001101222022120201
41202320123113011311
53214420342122232
6120435252200501
710446034653403
oct1427033270565
9334041868521
10106173395317
1141034128400
12186b1309131
13a0207a9092
1451d2cc8473
152b661c3be7
hex18b86d7175

106173395317 has 48 divisors (see below), whose sum is σ = 124989935616. Its totient is φ = 89908711200.

The previous prime is 106173395281. The next prime is 106173395333. The reversal of 106173395317 is 713593371601.

It is not a de Polignac number, because 106173395317 - 219 = 106172871029 is a prime.

It is a super-2 number, since 2×1061733953172 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106173395387) 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, 27597088 + ... + 27600934.

It is an arithmetic number, because the mean of its divisors is an integer number (2603956992).

Almost surely, 2106173395317 is an apocalyptic number.

It is an amenable number.

106173395317 is a deficient number, since it is larger than the sum of its proper divisors (18816540299).

106173395317 is a wasteful number, since it uses less digits than its factorization.

106173395317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 46.

The spelling of 106173395317 in words is "one hundred six billion, one hundred seventy-three million, three hundred ninety-five thousand, three hundred seventeen".

Divisors: 1 11 23 47 121 211 253 517 1081 2321 2783 3847 4853 5687 9917 11891 25531 42317 53383 88481 109087 130801 180809 228091 465487 587213 811717 973291 1199957 1988899 2509001 4158607 8928887 10706201 18669491 21877889 27599011 38150699 45744677 98217757 205364401 419657689 503191447 877466077 2259008411 4616234579 9652126847 106173395317