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120002022222100 = 22524492672650829
BaseRepresentation
bin11011010010010000100101…
…111010000010100100010100
3120201220002012020221120011021
4123102100211322002210110
5111212103120142101400
61103120100140050524
734163600656611334
oct3322204572024424
9521802166846137
10120002022222100
1135266632109647
1211561242533a44
1351c61b03849b5
14218c1b38710c4
15dd17dbe5771a
hex6d2425e82914

120002022222100 has 36 divisors (see below), whose sum is σ = 260984353549500. Its totient is φ = 47893902837760.

The previous prime is 120002022222097. The next prime is 120002022222191. The reversal of 120002022222100 is 1222220200021.

It can be written as a sum of positive squares in 6 ways, for example, as 7711928945296 + 112290093276804 = 2777036^2 + 10596702^2 .

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 11 ways as a sum of consecutive naturals, for example, 1336280515 + ... + 1336370314.

It is an arithmetic number, because the mean of its divisors is an integer number (7249565376375).

Almost surely, 2120002022222100 is an apocalyptic number.

120002022222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002022222100 is an abundant number, since it is smaller than the sum of its proper divisors (140982331327400).

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

120002022222100 is a wasteful number, since it uses less digits than its factorization.

120002022222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672651292 (or 2672651285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120002022222100 its reverse (1222220200021), we get a palindrome (121224242422121).

The spelling of 120002022222100 in words is "one hundred twenty trillion, two billion, twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 449 898 1796 2245 4490 8980 11225 22450 44900 2672650829 5345301658 10690603316 13363254145 26726508290 53453016580 66816270725 133632541450 267265082900 1200020222221 2400040444442 4800080888884 6000101111105 12000202222210 24000404444420 30000505555525 60001011111050 120002022222100