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100240123032 = 233271402914177
BaseRepresentation
bin101110101011011000…
…1101110010010011000
3100120201220110212010100
41131112301232102120
53120242432414112
6114014421415400
710146020662440
oct1352661562230
9316656425110
10100240123032
1139569a33095
121751626a560
1395b64a458a
144bcccc9120
15291a36c2dc
hex1756c6e498

100240123032 has 96 divisors (see below), whose sum is σ = 310311050400. Its totient is φ = 28635973632.

The previous prime is 100240123021. The next prime is 100240123051. The reversal of 100240123032 is 230321042001.

100240123032 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 401 + 230 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100240122996 and 100240123014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7063528 + ... + 7077704.

It is an arithmetic number, because the mean of its divisors is an integer number (3232406775).

Almost surely, 2100240123032 is an apocalyptic number.

100240123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100240123032 is an abundant number, since it is smaller than the sum of its proper divisors (210070927368).

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

100240123032 is a wasteful number, since it uses less digits than its factorization.

100240123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100240123032 its reverse (230321042001), we get a palindrome (330561165033).

The spelling of 100240123032 in words is "one hundred billion, two hundred forty million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 14029 14177 28058 28354 42087 42531 56116 56708 84174 85062 98203 99239 112232 113416 126261 127593 168348 170124 196406 198478 252522 255186 294609 297717 336696 340248 392812 396956 505044 510372 589218 595434 785624 793912 883827 893151 1010088 1020744 1178436 1190868 1767654 1786302 2356872 2381736 3535308 3572604 7070616 7145208 198889133 397778266 596667399 795556532 1193334798 1392223931 1591113064 1790002197 2386669596 2784447862 3580004394 4176671793 4773339192 5568895724 7160008788 8353343586 11137791448 12530015379 14320017576 16706687172 25060030758 33413374344 50120061516 100240123032