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100221103332 = 223771636637
BaseRepresentation
bin101110101010110100…
…1001010110011100100
3100120200120200120000000
41131111221022303210
53120223100301312
6114012502021300
710145400215430
oct1352551126344
9316616616000
10100221103332
113955a222329
121750ba17830
1395b257540c
144bca5779c0
152918861adc
hex1755a4ace4

100221103332 has 96 divisors (see below), whose sum is σ = 300617667840. Its totient is φ = 28634583456.

The previous prime is 100221103331. The next prime is 100221103349. The reversal of 100221103332 is 233301122001.

100221103332 is a `hidden beast` number, since 10 + 0 + 221 + 103 + 332 = 666.

It is a super-3 number, since 3×1002211033323 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100221103331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 757083 + ... + 879554.

It is an arithmetic number, because the mean of its divisors is an integer number (3131434040).

Almost surely, 2100221103332 is an apocalyptic number.

100221103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221103332 is an abundant number, since it is smaller than the sum of its proper divisors (200396564508).

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

100221103332 is an equidigital number, since it uses as much as digits as its factorization.

100221103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636669 (or 1636649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100221103332 its reverse (233301122001), we get a palindrome (333522225333).

The spelling of 100221103332 in words is "one hundred billion, two hundred twenty-one million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6804 8748 10206 15309 20412 30618 61236 1636637 3273274 4909911 6546548 9819822 11456459 14729733 19639644 22912918 29459466 34369377 44189199 45825836 58918932 68738754 88378398 103108131 132567597 137477508 176756796 206216262 265135194 309324393 397702791 412432524 530270388 618648786 795405582 927973179 1193108373 1237297572 1590811164 1855946358 2386216746 2783919537 3579325119 3711892716 4772433492 5567839074 7158650238 8351758611 11135678148 14317300476 16703517222 25055275833 33407034444 50110551666 100221103332