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100024400329 = 7311741264757
BaseRepresentation
bin101110100100111101…
…0110011100111001001
3100120011212120000012121
41131021322303213021
53114322221302304
6113541154011241
710140461242330
oct1351172634711
9316155500177
10100024400329
1139469191467
1217475b76b21
1395808a39c9
144bac3b2d17
152906459554
hex1749eb39c9

100024400329 has 16 divisors (see below), whose sum is σ = 118069359616. Its totient is φ = 82921579200.

The previous prime is 100024400309. The next prime is 100024400347. The reversal of 100024400329 is 923004420001.

It is a cyclic number.

It is not a de Polignac number, because 100024400329 - 29 = 100024399817 is a prime.

It is a super-2 number, since 2×1000244003292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100024400309) 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, 245419 + ... + 510175.

It is an arithmetic number, because the mean of its divisors is an integer number (7379334976).

Almost surely, 2100024400329 is an apocalyptic number.

It is an amenable number.

100024400329 is a deficient number, since it is larger than the sum of its proper divisors (18044959287).

100024400329 is a wasteful number, since it uses less digits than its factorization.

100024400329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266536.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 100024400329 in words is "one hundred billion, twenty-four million, four hundred thousand, three hundred twenty-nine".

Divisors: 1 7 31 217 1741 12187 53971 264757 377797 1853299 8207467 57452269 460941937 3226593559 14289200047 100024400329