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100211220 = 223253117959
BaseRepresentation
bin1011111100100…
…01101000010100
320222120020221200
411332101220110
5201123224340
613535512500
72324531664
oct576215024
9228506850
10100211220
115162619a
1229688730
13179b89a5
14d4481a4
158be7330
hex5f91a14

100211220 has 72 divisors (see below), whose sum is σ = 313797120. Its totient is φ = 25859520.

The previous prime is 100211183. The next prime is 100211231. The reversal of 100211220 is 22112001.

It is a super-2 number, since 2×1002112202 = 20084577227776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3400 + ... + 14559.

Almost surely, 2100211220 is an apocalyptic number.

100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211220 is an abundant number, since it is smaller than the sum of its proper divisors (213585900).

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

100211220 is a wasteful number, since it uses less digits than its factorization.

100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18005 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100211220 is about 10010.5554291458. Note that the first 3 decimals coincide. The cubic root of 100211220 is about 464.4854523406.

Adding to 100211220 its reverse (22112001), we get a palindrome (122323221).

The spelling of 100211220 in words is "one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 17959 35918 53877 71836 89795 107754 161631 179590 215508 269385 323262 359180 538770 556729 646524 808155 1077540 1113458 1616310 1670187 2226916 2783645 3232620 3340374 5010561 5567290 6680748 8350935 10021122 11134580 16701870 20042244 25052805 33403740 50105610 100211220