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112022000000130 = 235113116996445169
BaseRepresentation
bin11001011110001000100111…
…100001000101110010000010
3112200122012100210021102201210
4121132020213201011302002
5104140332024000001010
61034130110225110550
732411215406113653
oct3136104741056202
9480565323242653
10112022000000130
113276a299657770
1210692745188456
134a6782468788c
141d93c7257152a
15ce3e38d1db20
hex65e227845c82

112022000000130 has 128 divisors (see below), whose sum is σ = 302933302272000. Its totient is φ = 26265348633600.

The previous prime is 112022000000089. The next prime is 112022000000213. The reversal of 112022000000130 is 31000000220211.

112022000000130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14158186 + ... + 20603354.

It is an arithmetic number, because the mean of its divisors is an integer number (2366666424000).

Almost surely, 2112022000000130 is an apocalyptic number.

112022000000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022000000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151466651136000).

112022000000130 is an abundant number, since it is smaller than the sum of its proper divisors (190911302271870).

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

112022000000130 is a wasteful number, since it uses less digits than its factorization.

112022000000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446920.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112022000000130 its reverse (31000000220211), we get a palindrome (143022000220341).

The spelling of 112022000000130 in words is "one hundred twelve trillion, twenty-two billion, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1699 1705 2046 3398 3410 5097 5115 8495 10194 10230 16990 18689 25485 37378 50970 52669 56067 93445 105338 112134 158007 186890 263345 280335 316014 526690 560670 579359 790035 1158718 1580070 1738077 2896795 3476154 5793590 6445169 8690385 12890338 17380770 19335507 32225845 38671014 64451690 70896859 96677535 141793718 193355070 199800239 212690577 354484295 399600478 425381154 599400717 708968590 999001195 1063452885 1198801434 1998002390 2126905770 2197802629 2997003585 4395605258 5994007170 6593407887 10950342131 10989013145 13186815774 21900684262 21978026290 32851026393 32967039435 54751710655 65702052786 65934078870 109503421310 120453763441 164255131965 240907526882 328510263930 339460606061 361361290323 602268817205 678921212122 722722580646 1018381818183 1204537634410 1697303030305 1806806451615 2036763636366 3394606060610 3613612903230 3734066666671 5091909090915 7468133333342 10183818181830 11202200000013 18670333333355 22404400000026 37340666666710 56011000000065 112022000000130