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10112022120 = 2335791066669
BaseRepresentation
bin10010110101011100…
…10011011001101000
3222002201112221120210
421122232103121220
5131202134201440
64351223421120
7505404525024
oct113256233150
928081487523
1010112022120
114319a77982
121b625b47a0
13c51c80055
146bcda3384
153e2b39a80
hex25ab93668

10112022120 has 64 divisors (see below), whose sum is σ = 30720096000. Its totient is φ = 2662403328.

The previous prime is 10112022103. The next prime is 10112022157. The reversal of 10112022120 is 2122021101.

10112022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10112022096 and 10112022105.

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 15 ways as a sum of consecutive naturals, for example, 523855 + ... + 542814.

It is an arithmetic number, because the mean of its divisors is an integer number (480001500).

Almost surely, 210112022120 is an apocalyptic number.

10112022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112022120 is an abundant number, since it is smaller than the sum of its proper divisors (20608073880).

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

10112022120 is a wasteful number, since it uses less digits than its factorization.

10112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066762 (or 1066758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112022120 its reverse (2122021101), we get a palindrome (12234043221).

The spelling of 10112022120 in words is "ten billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 1066669 2133338 3200007 4266676 5333345 6400014 8533352 10666690 12800028 16000035 21333380 25600056 32000070 42666760 64000140 84266851 128000280 168533702 252800553 337067404 421334255 505601106 674134808 842668510 1011202212 1264002765 1685337020 2022404424 2528005530 3370674040 5056011060 10112022120