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122000220000100 = 22521327218947929
BaseRepresentation
bin11011101111010101100011…
…110001101000111101100100
3120222222002220002121001022101
4123233111203301220331210
5111442322422310000400
61111250043301141444
734461140116516021
oct3357254361507544
9528862802531271
10122000220000100
1135967003718362
12118245629ba884
13530c75742b800
14221abb0c2a548
15e1878badd56a
hex6ef563c68f64

122000220000100 has 54 divisors (see below), whose sum is σ = 286671641248230. Its totient is φ = 45046235070720.

The previous prime is 122000220000077. The next prime is 122000220000121. The reversal of 122000220000100 is 1000022000221.

It can be written as a sum of positive squares in 9 ways, for example, as 88360150400064 + 33640069600036 = 9400008^2 + 5800006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3609457065 + ... + 3609490864.

Almost surely, 2122000220000100 is an apocalyptic number.

122000220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000220000100 is an abundant number, since it is smaller than the sum of its proper divisors (164671421248130).

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

122000220000100 is a wasteful number, since it uses less digits than its factorization.

122000220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218947969 (or 7218947949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122000220000100 its reverse (1000022000221), we get a palindrome (123000242000321).

The spelling of 122000220000100 in words is "one hundred twenty-two trillion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 7218947929 14437895858 28875791716 36094739645 72189479290 93846323077 144378958580 180473698225 187692646154 360947396450 375385292308 469231615385 721894792900 938463230770 1220002200001 1876926461540 2346158076925 2440004400002 4692316153850 4880008800004 6100011000005 9384632307700 12200022000010 24400044000020 30500055000025 61000110000050 122000220000100