Search a number
-
+
106173395314 = 27217677113397
BaseRepresentation
bin110001011100001101…
…1010111000101110010
3101011001101222022120121
41202320123113011302
53214420342122224
6120435252200454
710446034653400
oct1427033270562
9334041868517
10106173395314
11410341283a8
12186b130912a
13a0207a908c
1451d2cc8470
152b661c3be4
hex18b86d7172

106173395314 has 96 divisors (see below), whose sum is σ = 201906359424. Its totient is φ = 41589757440.

The previous prime is 106173395281. The next prime is 106173395333. The reversal of 106173395314 is 413593371601.

It is a super-2 number, since 2×1061733953142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 7918464 + ... + 7931860.

It is an arithmetic number, because the mean of its divisors is an integer number (2103191244).

Almost surely, 2106173395314 is an apocalyptic number.

106173395314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106173395314 is a deficient number, since it is larger than the sum of its proper divisors (95732964110).

106173395314 is a wasteful number, since it uses less digits than its factorization.

106173395314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 106173395314 in words is "one hundred six billion, one hundred seventy-three million, three hundred ninety-five thousand, three hundred fourteen".

Divisors: 1 2 7 14 17 34 49 67 71 98 119 134 142 238 469 497 833 938 994 1139 1207 1666 2278 2414 3283 3479 4757 6566 6958 7973 8449 9514 13397 15946 16898 26794 33299 55811 59143 66598 80869 93779 111622 118286 161738 187558 227749 233093 455498 466186 566083 656453 897599 951187 1132166 1312906 1594243 1795198 1902374 3188486 3962581 6283193 6658309 7925162 11159701 12566386 13316618 15259183 16170179 22319402 30518366 32340358 43982351 46608163 63729529 87964702 93216326 106814281 113191253 127459058 213628562 226382506 446106703 747699967 792338771 892213406 1083401993 1495399934 1584677542 2166803986 3122746921 6245493842 7583813951 15167627902 53086697657 106173395314