Search a number
-
+
10302030300 = 22352431017907
BaseRepresentation
bin10011001100000110…
…01000000111011100
3222120222002100210210
421212003020013130
5132044304432200
64422132132420
7513202545522
oct114603100734
928528070723
1010302030300
114407255931
121bb6167110
13c82449423
146da304312
1540466d650
hex2660c81dc

10302030300 has 144 divisors (see below), whose sum is σ = 30806278272. Its totient is φ = 2656416000.

The previous prime is 10302030293. The next prime is 10302030341. The reversal of 10302030300 is 303020301.

It is a happy number.

It is a super-2 number, since 2×103020303002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298947 + ... + 1306853.

It is an arithmetic number, because the mean of its divisors is an integer number (213932488).

Almost surely, 210302030300 is an apocalyptic number.

10302030300 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 10302030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403139136).

10302030300 is an abundant number, since it is smaller than the sum of its proper divisors (20504247972).

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

10302030300 is a wasteful number, since it uses less digits than its factorization.

10302030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10302030300 its reverse (303020301), we get a palindrome (10605050601).

Subtracting from 10302030300 its reverse (303020301), we obtain a palindrome (9999009999).

The spelling of 10302030300 in words is "ten billion, three hundred two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 101 129 150 172 202 215 258 300 303 404 430 505 516 606 645 860 1010 1075 1212 1290 1515 2020 2150 2525 2580 3030 3225 4300 4343 5050 6060 6450 7575 7907 8686 10100 12900 13029 15150 15814 17372 21715 23721 26058 30300 31628 39535 43430 47442 52116 65145 79070 86860 94884 108575 118605 130290 158140 197675 217150 237210 260580 325725 340001 395350 434300 474420 593025 651450 680002 790700 798607 1020003 1186050 1302900 1360004 1597214 1700005 2040006 2372100 2395821 3194428 3400010 3993035 4080012 4791642 5100015 6800020 7986070 8500025 9583284 10200030 11979105 15972140 17000050 19965175 20400060 23958210 25500075 34000100 34340101 39930350 47916420 51000150 59895525 68680202 79860700 102000300 103020303 119791050 137360404 171700505 206040606 239582100 343401010 412081212 515101515 686802020 858502525 1030203030 1717005050 2060406060 2575507575 3434010100 5151015150 10302030300