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100220313330 = 232510111025337
BaseRepresentation
bin101110101010110011…
…0001001111011110010
3100120200112012102022200
41131111212021323302
53120222400011310
6114012433044030
710145360415264
oct1352546117362
9316615172280
10100220313330
1139559832835
121750b6b6616
1395b2359967
144bca40db34
1529187579c0
hex1755989ef2

100220313330 has 48 divisors (see below), whose sum is σ = 263152767384. Its totient is φ = 26460806400.

The previous prime is 100220313311. The next prime is 100220313341. The reversal of 100220313330 is 33313022001.

100220313330 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 313 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100158957441 + 61355889 = 316479^2 + 7833^2 .

It is a super-2 number, since 2×1002203133302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5503579 + ... + 5521758.

Almost surely, 2100220313330 is an apocalyptic number.

100220313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220313330 is an abundant number, since it is smaller than the sum of its proper divisors (162932454054).

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

100220313330 is a wasteful number, since it uses less digits than its factorization.

100220313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025451 (or 11025448 counting only the distinct ones).

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

Adding to 100220313330 its reverse (33313022001), we get a palindrome (133533335331).

The spelling of 100220313330 in words is "one hundred billion, two hundred twenty million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 11025337 22050674 33076011 55126685 66152022 99228033 110253370 165380055 198456066 330760110 496140165 992280330 1113559037 2227118074 3340677111 5567795185 6681354222 10022031333 11135590370 16703385555 20044062666 33406771110 50110156665 100220313330