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10103024320 = 265123725523
BaseRepresentation
bin10010110100010111…
…11110101011000000
3222002002121210220221
421122023332223000
5131142333234240
64350302512424
7505235201254
oct113213765300
928062553827
1010103024320
114314991784
121b5b595714
13c5014c6cc
146bbb00264
153e1e5da4a
hex25a2feac0

10103024320 has 56 divisors (see below), whose sum is σ = 24078218544. Its totient is φ = 4037784576.

The previous prime is 10103024293. The next prime is 10103024357. The reversal of 10103024320 is 2342030101.

It is a happy number.

10103024320 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 2×101030243202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10103024294 and 10103024303.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 383079 + ... + 408601.

Almost surely, 210103024320 is an apocalyptic number.

10103024320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103024320 is an abundant number, since it is smaller than the sum of its proper divisors (13975194224).

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

10103024320 is a wasteful number, since it uses less digits than its factorization.

10103024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26777 (or 26767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10103024320 its reverse (2342030101), we get a palindrome (12445054421).

The spelling of 10103024320 in words is "ten billion, one hundred three million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1237 2474 4948 6185 9896 12370 19792 24740 25523 39584 49480 51046 79168 98960 102092 127615 197920 204184 255230 395840 408368 510460 816736 1020920 1633472 2041840 4083680 8167360 31571951 63143902 126287804 157859755 252575608 315719510 505151216 631439020 1010302432 1262878040 2020604864 2525756080 5051512160 10103024320