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10045020210 = 2353131193463
BaseRepresentation
bin10010101101011101…
…01101100000110010
3221221001110220020120
421112232231200302
5131033011121320
64340431351110
7503632156131
oct112656554062
927831426216
1010045020210
1142951743a5
121b44082496
13c41121054
146b4121918
153dbd02440
hex256bad832

10045020210 has 64 divisors (see below), whose sum is σ = 24900894720. Its totient is φ = 2590683840.

The previous prime is 10045020113. The next prime is 10045020211. The reversal of 10045020210 is 1202054001.

10045020210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10045020210.

It is not an unprimeable number, because it can be changed into a prime (10045020211) 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 31 ways as a sum of consecutive naturals, for example, 2898939 + ... + 2902401.

It is an arithmetic number, because the mean of its divisors is an integer number (389076480).

Almost surely, 210045020210 is an apocalyptic number.

10045020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10045020210 is an abundant number, since it is smaller than the sum of its proper divisors (14855874510).

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

10045020210 is a wasteful number, since it uses less digits than its factorization.

10045020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10045020210 its reverse (1202054001), we get a palindrome (11247074211).

The spelling of 10045020210 in words is "ten billion, forty-five million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 3119 3463 6238 6926 9357 10389 15595 17315 18714 20778 31190 34630 46785 51945 93570 96689 103890 107353 193378 214706 290067 322059 483445 536765 580134 644118 966890 1073530 1450335 1610295 2900670 3220590 10801097 21602194 32403291 54005485 64806582 108010970 162016455 324032910 334834007 669668014 1004502021 1674170035 2009004042 3348340070 5022510105 10045020210