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102110101968 = 2437243414159
BaseRepresentation
bin101111100011000111…
…1001000000111010000
3100202120020011121222110
41133012033020013100
53133110141230333
6114524141505320
710243245355200
oct1370617100720
9322506147873
10102110101968
113a339543a26
1217958572240
139823a266a4
144d293ba400
1529c95ea063
hex17c63c81d0

102110101968 has 60 divisors (see below), whose sum is σ = 306851282880. Its totient is φ = 29174314176.

The previous prime is 102110101957. The next prime is 102110101969. The reversal of 102110101968 is 869101011201.

It is a happy number.

102110101968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110101969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21704728 + ... + 21709431.

It is an arithmetic number, because the mean of its divisors is an integer number (5114188048).

Almost surely, 2102110101968 is an apocalyptic number.

It is an amenable number.

102110101968 is an abundant number, since it is smaller than the sum of its proper divisors (204741180912).

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

102110101968 is a wasteful number, since it uses less digits than its factorization.

102110101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43414184 (or 43414171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 30.

The spelling of 102110101968 in words is "one hundred two billion, one hundred ten million, one hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 43414159 86828318 130242477 173656636 260484954 303899113 347313272 520969908 607798226 694626544 911697339 1041939816 1215596452 1823394678 2083879632 2127293791 2431192904 3646789356 4254587582 4862385808 6381881373 7293578712 8509175164 12763762746 14587157424 17018350328 25527525492 34036700656 51055050984 102110101968