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100032322332 = 22314960193089
BaseRepresentation
bin101110100101001100…
…1000001101100011100
3100120012102110111011010
41131022121001230130
53114331233303312
6113542035455220
710140615465465
oct1351231015434
9316172414133
10100032322332
1139472702378
1217478757510
139582418797
144bad475d6c
152906ec193c
hex174a641b1c

100032322332 has 48 divisors (see below), whose sum is σ = 235368756000. Its totient is φ = 33064857600.

The previous prime is 100032322321. The next prime is 100032322367. The reversal of 100032322332 is 233223230001.

It is a super-2 number, since 2×1000323223322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100032322299 and 100032322308.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1028044 + ... + 1121132.

It is an arithmetic number, because the mean of its divisors is an integer number (4903515750).

Almost surely, 2100032322332 is an apocalyptic number.

100032322332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100032322332 is an abundant number, since it is smaller than the sum of its proper divisors (135336433668).

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

100032322332 is a wasteful number, since it uses less digits than its factorization.

100032322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93846 (or 93844 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100032322332 its reverse (233223230001), we get a palindrome (333255552333).

The spelling of 100032322332 in words is "one hundred billion, thirty-two million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 149 298 447 596 601 894 1202 1788 1803 2404 3606 7212 89549 93089 179098 186178 268647 279267 358196 372356 537294 558534 1074588 1117068 13870261 27740522 41610783 55481044 55946489 83221566 111892978 166443132 167839467 223785956 335678934 671357868 8336026861 16672053722 25008080583 33344107444 50016161166 100032322332