Search a number
-
+
10521540200 = 235296754403
BaseRepresentation
bin10011100110010000…
…11111011001101000
31000011021010121210002
421303020133121220
5133022003241300
64500013042132
7521506421213
oct116310373150
930137117702
1010521540200
11450a153976
122057786348
13cb8a74a42
1471b52477a
15418a7d5d5
hex27321f668

10521540200 has 48 divisors (see below), whose sum is σ = 24488328480. Its totient is φ = 4204186560.

The previous prime is 10521540167. The next prime is 10521540203. The reversal of 10521540200 is 204512501.

10521540200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105215402002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10521540203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166199 + ... + 220601.

It is an arithmetic number, because the mean of its divisors is an integer number (510173510).

Almost surely, 210521540200 is an apocalyptic number.

10521540200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10521540200 is an abundant number, since it is smaller than the sum of its proper divisors (13966788280).

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

10521540200 is a wasteful number, since it uses less digits than its factorization.

10521540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55386 (or 55377 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10521540200 in words is "ten billion, five hundred twenty-one million, five hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 967 1934 3868 4835 7736 9670 19340 24175 38680 48350 54403 96700 108806 193400 217612 272015 435224 544030 1088060 1360075 2176120 2720150 5440300 10880600 52607701 105215402 210430804 263038505 420861608 526077010 1052154020 1315192525 2104308040 2630385050 5260770100 10521540200