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2022011101120 = 265173251145517
BaseRepresentation
bin11101011011001001010…
…000001101111111000000
321011022011102121122022111
4131123021100031333000
5231112034320213440
64144522111145104
7266041214530363
oct35331120157700
97138142548274
102022011101120
1170a59160994a
12287a67515194
131188a07a216a
146dc19cc00da
15378e55a04ea
hex1d6c940dfc0

2022011101120 has 112 divisors (see below), whose sum is σ = 4862073027168. Its totient is φ = 800920064000.

The previous prime is 2022011101087. The next prime is 2022011101127. The reversal of 2022011101120 is 211011102202.

It is a self number, because there is not a number n which added to its sum of digits gives 2022011101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022011101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13822602 + ... + 13968118.

It is an arithmetic number, because the mean of its divisors is an integer number (43411366314).

Almost surely, 22022011101120 is an apocalyptic number.

2022011101120 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 2022011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431036513584).

2022011101120 is an abundant number, since it is smaller than the sum of its proper divisors (2840061926048).

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

2022011101120 is a wasteful number, since it uses less digits than its factorization.

2022011101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145958 (or 145948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2022011101120 its reverse (211011102202), we get a palindrome (2233022203322).

The spelling of 2022011101120 in words is "two trillion, twenty-two billion, eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 251 320 346 502 692 865 1004 1255 1384 1730 2008 2510 2768 3460 4016 5020 5536 6920 8032 10040 11072 13840 16064 20080 27680 40160 43423 55360 80320 86846 145517 173692 217115 291034 347384 434230 582068 694768 727585 868460 1164136 1389536 1455170 1736920 2328272 2779072 2910340 3473840 4656544 5820680 6947680 9313088 11641360 13895360 23282720 25174441 36524767 46565440 50348882 73049534 100697764 125872205 146099068 182623835 201395528 251744410 292198136 365247670 402791056 503488820 584396272 730495340 805582112 1006977640 1168792544 1460990680 1611164224 2013955280 2337585088 2921981360 4027910560 5843962720 6318784691 8055821120 11687925440 12637569382 25275138764 31593923455 50550277528 63187846910 101100555056 126375693820 202201110112 252751387640 404402220224 505502775280 1011005550560 2022011101120