Search a number
-
+
106303254645225 = 35211292153213353
BaseRepresentation
bin11000001010111010100111…
…101110110100100111101001
3111221101111021120222012211210
4120022322213232310213221
5102413133031142121400
61014031012505143333
731251104514461511
oct3012724756644751
9457344246865753
10106303254645225
1130964a58a21a70
12bb0a348a8ab49
13474147a696a01
141c371680b4841
15c452d1a0a950
hex60aea7bb49e9

106303254645225 has 72 divisors (see below), whose sum is σ = 198571861024992. Its totient is φ = 49763696729600.

The previous prime is 106303254645223. The next prime is 106303254645253. The reversal of 106303254645225 is 522546452303601.

It is not a de Polignac number, because 106303254645225 - 21 = 106303254645223 is a prime.

It is a super-2 number, since 2×1063032546452252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106303254645223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75912852 + ... + 77300501.

It is an arithmetic number, because the mean of its divisors is an integer number (2757942514236).

Almost surely, 2106303254645225 is an apocalyptic number.

106303254645225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106303254645225 is a deficient number, since it is larger than the sum of its proper divisors (92268606379767).

106303254645225 is a wasteful number, since it uses less digits than its factorization.

106303254645225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153213435 (or 153213401 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 106303254645225 in words is "one hundred six trillion, three hundred three billion, two hundred fifty-four million, six hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 145 165 275 319 435 725 825 841 957 1595 2175 2523 4205 4785 7975 9251 12615 21025 23925 27753 46255 63075 138765 231275 693825 153213353 459640059 766066765 1685346883 2298200295 3830333825 4443187237 5056040649 8426734415 11491001475 13329561711 22215936185 25280203245 42133672075 48875059607 66647808555 111079680925 126401016225 128852429873 146625178821 244375298035 333239042775 386557289619 644262149365 733125894105 1221876490175 1417376728603 1932786448095 3221310746825 3665629470525 4252130185809 7086883643015 9663932240475 21260650929045 35434418215075 106303254645225