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120100000212 = 223641186557
BaseRepresentation
bin110111111011010000…
…1001001000111010100
3102110222222100011000000
41233312201021013110
53431431100001322
6131101223451300
711451122105133
oct1576641110724
9373888304000
10120100000212
1146a30356825
121b3392b6b30
13b42cb2acaa
145b5473791a
1531cdb5a3ac
hex1bf68491d4

120100000212 has 42 divisors (see below), whose sum is σ = 315118355258. Its totient is φ = 40033332432.

The previous prime is 120100000201. The next prime is 120100000231. The reversal of 120100000212 is 212000001021.

It can be written as a sum of positive squares in only one way, i.e., 119029140036 + 1070860176 = 345006^2 + 32724^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120100000194 and 120100000203.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 20590363 + ... + 20596194.

Almost surely, 2120100000212 is an apocalyptic number.

120100000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100000212 is an abundant number, since it is smaller than the sum of its proper divisors (195018355046).

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

120100000212 is an equidigital number, since it uses as much as digits as its factorization.

120100000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41186579 (or 41186562 counting only the distinct ones).

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

Adding to 120100000212 its reverse (212000001021), we get a palindrome (332100001233).

The spelling of 120100000212 in words is "one hundred twenty billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 41186557 82373114 123559671 164746228 247119342 370679013 494238684 741358026 1112037039 1482716052 2224074078 3336111117 4448148156 6672222234 10008333351 13344444468 20016666702 30025000053 40033333404 60050000106 120100000212