Search a number
-
+
10200104010 = 234512592721
BaseRepresentation
bin10010111111111100…
…10011110001001010
3222022212021222020000
421133332103301022
5131342211312020
64404051343430
7510524311365
oct113776236112
928285258200
1010200104010
114364769128
121b87bb1b76
13c672acc05
146ca9710dc
153ea738090
hex25ff93c4a

10200104010 has 40 divisors (see below), whose sum is σ = 27426948516. Its totient is φ = 2720027520.

The previous prime is 10200103999. The next prime is 10200104011. The reversal of 10200104010 is 1040100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9838457721 + 361646289 = 99189^2 + 19017^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200103983 and 10200104001.

It is not an unprimeable number, because it can be changed into a prime (10200104011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6295551 + ... + 6297170.

Almost surely, 210200104010 is an apocalyptic number.

10200104010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200104010 is an abundant number, since it is smaller than the sum of its proper divisors (17226844506).

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

10200104010 is a wasteful number, since it uses less digits than its factorization.

10200104010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592740 (or 12592731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200104010 its reverse (1040100201), we get a palindrome (11240204211).

The spelling of 10200104010 in words is "ten billion, two hundred million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12592721 25185442 37778163 62963605 75556326 113334489 125927210 188890815 226668978 340003467 377781630 566672445 680006934 1020010401 1133344890 1700017335 2040020802 3400034670 5100052005 10200104010