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106340551112 = 231711356912161
BaseRepresentation
bin110001100001001100…
…1000000100111001000
3101011111001111201020002
41203002121000213020
53220241140113422
6120504023022132
710453134525155
oct1430231004710
9334431451202
10106340551112
114110a517a94
121873929a948
13a049303933
14520b19b22c
152b75be1692
hex18c26409c8

106340551112 has 64 divisors (see below), whose sum is σ = 213377425200. Its totient is φ = 49508515840.

The previous prime is 106340551073. The next prime is 106340551123. The reversal of 106340551112 is 211155043601.

It can be written as a sum of positive squares in 8 ways, for example, as 8312698276 + 98027852836 = 91174^2 + 313094^2 .

It is a super-2 number, since 2×1063405511122 (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8738312 + ... + 8750472.

Almost surely, 2106340551112 is an apocalyptic number.

It is an amenable number.

106340551112 is an abundant number, since it is smaller than the sum of its proper divisors (107036874088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106340551112 is a wasteful number, since it uses less digits than its factorization.

106340551112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 106340551112 its reverse (211155043601), we get a palindrome (317495594713).

The spelling of 106340551112 in words is "one hundred six billion, three hundred forty million, five hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 68 113 136 226 452 569 904 1138 1921 2276 3842 4552 7684 9673 12161 15368 19346 24322 38692 48644 64297 77384 97288 128594 206737 257188 413474 514376 826948 1093049 1374193 1653896 2186098 2748386 4372196 5496772 6919609 8744392 10993544 13839218 23361281 27678436 46722562 55356872 93445124 117633353 186890248 235266706 470533412 781915817 941066824 1563831634 3127663268 6255326536 13292568889 26585137778 53170275556 106340551112