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102111120414 = 23215736132739
BaseRepresentation
bin101111100011001001…
…1000000110000011110
3100202120022002101000200
41133012103000300132
53133110421323124
6114524215404330
710243260126342
oct1370623006036
9322508071020
10102111120414
113a33a07a116
12179589836a6
139823cc2114
144d295a3622
1529c974bbc9
hex17c64c0c1e

102111120414 has 24 divisors (see below), whose sum is σ = 222649943880. Its totient is φ = 33820242768.

The previous prime is 102111120401. The next prime is 102111120421. The reversal of 102111120414 is 414021111201.

102111120414 is a `hidden beast` number, since 10 + 211 + 11 + 20 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 18063544 + ... + 18069195.

It is an arithmetic number, because the mean of its divisors is an integer number (9277080995).

Almost surely, 2102111120414 is an apocalyptic number.

102111120414 is an abundant number, since it is smaller than the sum of its proper divisors (120538823466).

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

102111120414 is a wasteful number, since it uses less digits than its factorization.

102111120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132904 (or 36132901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102111120414 its reverse (414021111201), we get a palindrome (516132231615).

The spelling of 102111120414 in words is "one hundred two billion, one hundred eleven million, one hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 36132739 72265478 108398217 216796434 325194651 650389302 5672840023 11345680046 17018520069 34037040138 51055560207 102111120414