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2022011210120 = 235118954139539
BaseRepresentation
bin11101011011001001010…
…000101000100110001000
321011022011102211011211112
4131123021100220212020
5231112034332210440
64144522113345452
7266041215463226
oct35331120504610
97138142734745
102022011210120
1170a591683830
12287a67568288
131188a080c965
146dc19d0bb16
15378e55c2965
hex1d6c9428988

2022011210120 has 128 divisors (see below), whose sum is σ = 5020337232000. Its totient is φ = 726804756480.

The previous prime is 2022011210117. The next prime is 2022011210189. The reversal of 2022011210120 is 210121102202.

It is a junction number, because it is equal to n+sod(n) for n = 2022011210095 and 2022011210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211968311 + ... + 211977849.

It is an arithmetic number, because the mean of its divisors is an integer number (39221384625).

Almost surely, 22022011210120 is an apocalyptic number.

2022011210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022011210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510168616000).

2022011210120 is an abundant number, since it is smaller than the sum of its proper divisors (2998326021880).

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

2022011210120 is a wasteful number, since it uses less digits than its factorization.

2022011210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2022011210120 its reverse (210121102202), we get a palindrome (2232132312322).

The spelling of 2022011210120 in words is "two trillion, twenty-two billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 5413 7832 9539 9790 10826 19078 19580 21652 27065 38156 39160 43304 47695 54130 59543 76312 95390 104929 108260 119086 190780 209858 216520 238172 297715 381560 419716 476344 481757 524645 595430 839432 848971 963514 1049290 1190860 1697942 1927028 2098580 2381720 2408785 3395884 3854056 4197160 4244855 4817570 5299327 6791768 8489710 9338681 9635140 10598654 16979420 18677362 19270280 21197308 26496635 33958840 37354724 42394616 46693405 51634607 52993270 74709448 93386810 103269214 105986540 186773620 206538428 211973080 258173035 373547240 413076856 516346070 567980677 1032692140 1135961354 2065384280 2271922708 2839903385 4543845416 4595480023 5679806770 9190960046 11359613540 18381920092 22719227080 22977400115 36763840184 45954800230 50550280253 91909600460 101100560506 183819200920 202201121012 252751401265 404402242024 505502802530 1011005605060 2022011210120