Search a number
-
+
102302340400 = 24521328976791
BaseRepresentation
bin101111101000110110…
…0011101010100110000
3100210001121220100112101
41133101230131110300
53134003344343100
6114555210110144
710251101355121
oct1372154352460
9323047810471
10102302340400
113a428005567
12179b0a1b354
1398547c3c40
144d46b3c048
1529db41e86a
hex17d1b1d530

102302340400 has 120 divisors (see below), whose sum is σ = 264817988064. Its totient is φ = 37754572800.

The previous prime is 102302340377. The next prime is 102302340421. The reversal of 102302340400 is 4043203201.

It is an unprimeable number.

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, 15061005 + ... + 15067795.

Almost surely, 2102302340400 is an apocalyptic number.

102302340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102302340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132408994032).

102302340400 is an abundant number, since it is smaller than the sum of its proper divisors (162515647664).

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

102302340400 is a wasteful number, since it uses less digits than its factorization.

102302340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 102302340400 its reverse (4043203201), we get a palindrome (106345543601).

The spelling of 102302340400 in words is "one hundred two billion, three hundred two million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 2897 5200 5794 6791 11588 13582 14485 23176 27164 28970 33955 37661 46352 54328 57940 67910 72425 75322 88283 108656 115880 135820 144850 150644 169775 176566 188305 231760 271640 289700 301288 339550 353132 376610 441415 543280 579400 602576 679100 706264 753220 882830 941525 1158800 1358200 1412528 1506440 1765660 1883050 2207075 2716400 3012880 3531320 3766100 4414150 7062640 7532200 8828300 15064400 17656600 19673527 35313200 39347054 78694108 98367635 157388216 196735270 255755851 314776432 393470540 491838175 511511702 786941080 983676350 1023023404 1278779255 1573882160 1967352700 2046046808 2557558510 3934705400 4092093616 5115117020 6393896275 7869410800 10230234040 12787792550 20460468080 25575585100 51151170200 102302340400