Search a number
-
+
106341321255 = 351319123723203
BaseRepresentation
bin110001100001001101…
…1111100101000100111
3101011111002221211122220
41203002123330220213
53220241334240010
6120504051323423
710453144213401
oct1430233745047
9334432854586
10106341321255
114110a9a3674
12187395b0573
13a049513340
14520b31bb71
152b75ce4970
hex18c26fca27

106341321255 has 64 divisors (see below), whose sum is σ = 193042429440. Its totient is φ = 49555017216.

The previous prime is 106341321253. The next prime is 106341321329. The reversal of 106341321255 is 552123143601.

It is not a de Polignac number, because 106341321255 - 21 = 106341321253 is a prime.

It is a super-2 number, since 2×1063413212552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106341321253) 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 in 63 ways as a sum of consecutive naturals, for example, 4571484 + ... + 4594686.

It is an arithmetic number, because the mean of its divisors is an integer number (3016287960).

Almost surely, 2106341321255 is an apocalyptic number.

106341321255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106341321255 is a deficient number, since it is larger than the sum of its proper divisors (86701108185).

106341321255 is a wasteful number, since it uses less digits than its factorization.

106341321255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 106341321255 its reverse (552123143601), we get a palindrome (658464464856).

The spelling of 106341321255 in words is "one hundred six billion, three hundred forty-one million, three hundred twenty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 1237 3705 3711 6185 16081 18555 23203 23503 48243 69609 70509 80405 116015 117515 241215 301639 305539 348045 352545 440857 904917 916617 1322571 1508195 1527695 2204285 4524585 4583085 5731141 6612855 17193423 28655705 28702111 85967115 86106333 143510555 373127443 430531665 545340109 1119382329 1636020327 1865637215 2726700545 5596911645 7089421417 8180101635 21268264251 35447107085 106341321255