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120220100022 = 23115379435041
BaseRepresentation
bin110111111110110101…
…1010010010110110110
3102111022100022211222010
41233331223102112312
53432202321200042
6131121153545050
711454110663301
oct1577553222666
9374270284863
10120220100022
1146a92126570
121b371575186
13b44b98b479
145b6667bb38
1531d948059c
hex1bfdad25b6

120220100022 has 64 divisors (see below), whose sum is σ = 270630927360. Its totient is φ = 35290444800.

The previous prime is 120220099999. The next prime is 120220100023. The reversal of 120220100022 is 220001022021.

It is a junction number, because it is equal to n+sod(n) for n = 120220099980 and 120220100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58822 + ... + 493862.

It is an arithmetic number, because the mean of its divisors is an integer number (4228608240).

Almost surely, 2120220100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135315463680).

120220100022 is an abundant number, since it is smaller than the sum of its proper divisors (150410827338).

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

120220100022 is a wasteful number, since it uses less digits than its factorization.

120220100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435189.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120220100022 its reverse (220001022021), we get a palindrome (340221122043).

The spelling of 120220100022 in words is "one hundred twenty billion, two hundred twenty million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 79 106 158 159 237 318 474 583 869 1166 1738 1749 2607 3498 4187 5214 8374 12561 25122 46057 92114 138171 276342 435041 870082 1305123 2610246 4785451 9570902 14356353 23057173 28712706 34368239 46114346 68736478 69171519 103104717 138343038 206209434 253628903 378050629 507257806 756101258 760886709 1134151887 1521773418 1821516667 2268303774 3643033334 5464550001 10929100002 20036683337 40073366674 60110050011 120220100022