Search a number
-
+
102111102414 = 2351012119859
BaseRepresentation
bin101111100011001001…
…0111100010111001110
3100202120022001110100000
41133012102330113032
53133110420234124
6114524215145130
710243260023016
oct1370622742716
9322508043300
10102111102414
113a33a067642
12179589751a6
139823cb6b79
144d2959ac46
1529c97466c9
hex17c64bc5ce

102111102414 has 96 divisors (see below), whose sum is σ = 232828202880. Its totient is φ = 33536916000.

The previous prime is 102111102407. The next prime is 102111102419. The reversal of 102111102414 is 414201111201.

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 (102111102419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10352217 + ... + 10362075.

It is an arithmetic number, because the mean of its divisors is an integer number (2425293780).

Almost surely, 2102111102414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111102414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116414101440).

102111102414 is an abundant number, since it is smaller than the sum of its proper divisors (130717100466).

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

102111102414 is a wasteful number, since it uses less digits than its factorization.

102111102414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10176 counting only the distinct ones).

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

Adding to 102111102414 its reverse (414201111201), we get a palindrome (516312213615).

The spelling of 102111102414 in words is "one hundred two billion, one hundred eleven million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 211 243 303 422 486 606 633 909 1266 1818 1899 2727 3798 5454 5697 8181 9859 11394 16362 17091 19718 21311 24543 29577 34182 42622 49086 51273 59154 63933 88731 102546 127866 177462 191799 266193 383598 532386 575397 798579 995759 1150794 1597158 1726191 1991518 2080249 2395737 2987277 3452382 4160498 4791474 5178573 5974554 6240747 8961831 10357146 12481494 17923662 18722241 26885493 37444482 53770986 56166723 80656479 112333446 161312958 168500169 210105149 241969437 337000338 420210298 483938874 505500507 630315447 1011001014 1260630894 1890946341 3781892682 5672839023 11345678046 17018517069 34037034138 51055551207 102111102414