Search a number
-
+
10200300240 = 2435133269327
BaseRepresentation
bin10010111111111110…
…00011101011010000
3222022212122221101210
421133333003223100
5131342234101430
64404055500120
7510526056444
oct113777035320
928285587353
1010200300240
1143648925a9
121b88087640
13c6734b320
146ca9c2824
153ea7762b0
hex25ffc3ad0

10200300240 has 80 divisors (see below), whose sum is σ = 34053320448. Its totient is φ = 2510842368.

The previous prime is 10200300191. The next prime is 10200300241. The reversal of 10200300240 is 4200300201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102003002402 (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 not an unprimeable number, because it can be changed into a prime (10200300241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631544 + ... + 1637783.

Almost surely, 210200300240 is an apocalyptic number.

10200300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200300240 is an abundant number, since it is smaller than the sum of its proper divisors (23853020208).

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

10200300240 is a wasteful number, since it uses less digits than its factorization.

10200300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269356 (or 3269350 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10200300240 its reverse (4200300201), we get a palindrome (14400600441).

The spelling of 10200300240 in words is "ten billion, two hundred million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3269327 6538654 9807981 13077308 16346635 19615962 26154616 32693270 39231924 42501251 49039905 52309232 65386540 78463848 85002502 98079810 127503753 130773080 156927696 170005004 196159620 212506255 255007506 261546160 340010008 392319240 425012510 510015012 637518765 680020016 784638480 850025020 1020030024 1275037530 1700050040 2040060048 2550075060 3400100080 5100150120 10200300240