Search a number
-
+
102255302424 = 233112107329083
BaseRepresentation
bin101111100111011100…
…1000001011100011000
3100202221100101120120010
41133032321001130120
53133404324134144
6114550410001520
710246660505142
oct1371671013430
9322840346503
10102255302424
113a4034a8200
12179991162a0
139847b34b12
144d407b5c92
1529d722c5b9
hex17cee41718

102255302424 has 96 divisors (see below), whose sum is σ = 283617754560. Its totient is φ = 30696768960.

The previous prime is 102255302423. The next prime is 102255302449. The reversal of 102255302424 is 424203552201.

It is a super-2 number, since 2×1022553024242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102255302391 and 102255302400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102255302423) 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 23 ways as a sum of consecutive naturals, for example, 146187 + ... + 475269.

It is an arithmetic number, because the mean of its divisors is an integer number (2954351610).

Almost surely, 2102255302424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141808877280).

102255302424 is an abundant number, since it is smaller than the sum of its proper divisors (181362452136).

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

102255302424 is a wasteful number, since it uses less digits than its factorization.

102255302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329221 (or 329206 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 102255302424 its reverse (424203552201), we get a palindrome (526458854625).

The spelling of 102255302424 in words is "one hundred two billion, two hundred fifty-five million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 121 132 214 242 264 321 363 428 484 642 726 856 968 1177 1284 1452 2354 2568 2904 3531 4708 7062 9416 12947 14124 25894 28248 38841 51788 77682 103576 155364 310728 329083 658166 987249 1316332 1974498 2632664 3619913 3948996 7239826 7897992 10859739 14479652 21719478 28959304 35211881 39819043 43438956 70423762 79638086 86877912 105635643 119457129 140847524 159276172 211271286 238914258 281695048 318552344 387330691 422542572 477828516 774661382 845085144 955657032 1161992073 1549322764 2323984146 3098645528 4260637601 4647968292 8521275202 9295936584 12781912803 17042550404 25563825606 34085100808 51127651212 102255302424