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106266265251 = 319371131512953
BaseRepresentation
bin110001011110111110…
…1101000011010100011
3101011021212201121011220
41202331331220122203
53220113130442001
6120452410510123
710451243231256
oct1427575503243
9334255647156
10106266265251
1141081599a13
1218718435343
13a036ac43c3
14520138109d
152b6e41ac36
hex18bdf686a3

106266265251 has 64 divisors (see below), whose sum is σ = 155608212480. Its totient is φ = 64273305600.

The previous prime is 106266265241. The next prime is 106266265307. The reversal of 106266265251 is 152562662601.

It is a happy number.

It is not a de Polignac number, because 106266265251 - 214 = 106266248867 is a prime.

It is a super-2 number, since 2×1062662652512 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106266265241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35984391 + ... + 35987343.

It is an arithmetic number, because the mean of its divisors is an integer number (2431378320).

Almost surely, 2106266265251 is an apocalyptic number.

106266265251 is a deficient number, since it is larger than the sum of its proper divisors (49341947229).

106266265251 is a wasteful number, since it uses less digits than its factorization.

106266265251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 106266265251 in words is "one hundred six billion, two hundred sixty-six million, two hundred sixty-five thousand, two hundred fifty-one".

Divisors: 1 3 19 37 57 111 113 151 339 453 703 2109 2147 2869 2953 4181 5587 6441 8607 8859 12543 16761 17063 51189 56107 79439 106153 109261 168321 238317 318459 324197 327783 333689 445903 631331 972591 1001067 1337709 1893993 2075959 6227877 6340091 8472157 11995289 12346493 16498411 19020273 25416471 35985867 37039479 49495233 50387039 151161117 234583367 313469809 703750101 940409427 957353741 1864320443 2872061223 5592961329 35422088417 106266265251