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13102101222102 = 23323103102419377
BaseRepresentation
bin1011111010101001001000…
…0101101101001011010110
31201101112210221222000101000
42332222102011231023112
53204131100403101402
643511004444044130
72521411165564014
oct276522205551326
951345727860330
1013102101222102
1141a162a629092
121577337233646
137406a48c3039
1433420616d8b4
1517ac380cac1c
hexbea9216d2d6

13102101222102 has 64 divisors (see below), whose sum is σ = 30676652098560. Its totient is φ = 4136923435392.

The previous prime is 13102101222073. The next prime is 13102101222109. The reversal of 13102101222102 is 20122210120131.

13102101222102 is a `hidden beast` number, since 1 + 310 + 21 + 0 + 122 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102101222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51081763 + ... + 51337614.

It is an arithmetic number, because the mean of its divisors is an integer number (479322689040).

Almost surely, 213102101222102 is an apocalyptic number.

13102101222102 is an abundant number, since it is smaller than the sum of its proper divisors (17574550876458).

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

13102101222102 is a wasteful number, since it uses less digits than its factorization.

13102101222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102419514 (or 102419508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13102101222102 its reverse (20122210120131), we get a palindrome (33224311342233).

The spelling of 13102101222102 in words is "thirteen trillion, one hundred two billion, one hundred one million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 103 138 206 207 309 414 618 621 927 1242 1854 2369 2781 4738 5562 7107 14214 21321 42642 63963 127926 102419377 204838754 307258131 614516262 921774393 1843548786 2355645671 2765323179 4711291342 5530646358 7066937013 10549195831 14133874026 21098391662 21200811039 31647587493 42401622078 63295174986 63602433117 94942762479 127204866234 189885524958 242631504113 284828287437 485263008226 569656574874 727894512339 1455789024678 2183683537017 4367367074034 6551050611051 13102101222102