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100021323330 = 23253217345461
BaseRepresentation
bin101110100100110111…
…1000100011001000010
3100120011122202200100200
41131021233010121002
53114320424321310
6113541004030030
710140423135435
oct1351157043102
9316148680320
10100021323330
113946747a695
1217474b32316
1395800672b6
144babc1181c
15290604c9c0
hex1749bc4642

100021323330 has 48 divisors (see below), whose sum is σ = 260137031544. Its totient is φ = 26663984640.

The previous prime is 100021323329. The next prime is 100021323359. The reversal of 100021323330 is 33323120001.

100021323330 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 1 + 323 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68119434009 + 31901889321 = 260997^2 + 178611^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 116800 + ... + 462260.

Almost surely, 2100021323330 is an apocalyptic number.

100021323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021323330 is an abundant number, since it is smaller than the sum of its proper divisors (160115708214).

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

100021323330 is a wasteful number, since it uses less digits than its factorization.

100021323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348691 (or 348688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100021323330 its reverse (33323120001), we get a palindrome (133344443331).

The spelling of 100021323330 in words is "one hundred billion, twenty-one million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3217 6434 9651 16085 19302 28953 32170 48255 57906 96510 144765 289530 345461 690922 1036383 1727305 2072766 3109149 3454610 5181915 6218298 10363830 15545745 31091490 1111348037 2222696074 3334044111 5556740185 6668088222 10002132333 11113480370 16670220555 20004264666 33340441110 50010661665 100021323330