Search a number
-
+
210224014043100 = 22352798870211563
BaseRepresentation
bin101111110011001010010111…
…101011100010011111011100
31000120100012220222210210002220
4233303022113223202133130
5210023302240043334400
62023035325004545340
762165120020635441
oct5763122753423734
91016305828723086
10210224014043100
1160a9055a442582
121b6b29a4b52250
13903c06890b815
1439cac7a2879c8
1519486207bd7a0
hexbf3297ae27dc

210224014043100 has 72 divisors (see below), whose sum is σ = 615947491004160. Its totient is φ = 55350120146880.

The previous prime is 210224014043089. The next prime is 210224014043107. The reversal of 210224014043100 is 1340410422012.

It is a super-2 number, since 2×2102240140431002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210224014043107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435082082 + ... + 4435129481.

Almost surely, 2210224014043100 is an apocalyptic number.

210224014043100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210224014043100 is an abundant number, since it is smaller than the sum of its proper divisors (405723476961060).

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

210224014043100 is a wasteful number, since it uses less digits than its factorization.

210224014043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870211659 (or 8870211652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 210224014043100 its reverse (1340410422012), we get a palindrome (211564424465112).

The spelling of 210224014043100 in words is "two hundred ten trillion, two hundred twenty-four billion, fourteen million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 8870211563 17740423126 26610634689 35480846252 44351057815 53221269378 88702115630 106442538756 133053173445 177404231260 221755289075 266106346890 443510578150 532212693780 665265867225 700746713477 887021156300 1330531734450 1401493426954 2102240140431 2661063468900 2802986853908 3503733567385 4204480280862 7007467134770 8408960561724 10511200702155 14014934269540 17518667836925 21022401404310 35037335673850 42044802808620 52556003510775 70074671347700 105112007021550 210224014043100