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106214311304 = 23139201147497
BaseRepresentation
bin110001011101011011…
…1011100010110001000
3101011011020222001202122
41202322313130112020
53220011330430204
6120443313150412
710450042515113
oct1427267342610
9334136861678
10106214311304
1141055234172
1218702b5b408
13a02910381a
1451d84d957a
152b69aa70be
hex18baddc588

106214311304 has 32 divisors (see below), whose sum is σ = 200688549600. Its totient is φ = 52697761920.

The previous prime is 106214311303. The next prime is 106214311321. The reversal of 106214311304 is 403113412601.

It is a happy number.

106214311304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062143113042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106214311303) 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 7 ways as a sum of consecutive naturals, for example, 2212484 + ... + 2259980.

It is an arithmetic number, because the mean of its divisors is an integer number (6271517175).

Almost surely, 2106214311304 is an apocalyptic number.

It is an amenable number.

106214311304 is a deficient number, since it is larger than the sum of its proper divisors (94474238296).

106214311304 is a wasteful number, since it uses less digits than its factorization.

106214311304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49653 (or 49649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 106214311304 its reverse (403113412601), we get a palindrome (509327723905).

The spelling of 106214311304 in words is "one hundred six billion, two hundred fourteen million, three hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 139 278 556 1112 2011 4022 8044 16088 47497 94994 189988 279529 379976 559058 1118116 2236232 6602083 13204166 26408332 52816664 95516467 191032934 382065868 764131736 13276788913 26553577826 53107155652 106214311304