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2022001221120 = 2935283930323
BaseRepresentation
bin11101011011001000101…
…010100001111000000000
321011022010202000200111120
4131123020222201320000
5231112024303033440
64144521115312240
7266041034540616
oct35331052417000
97138122020446
102022001221120
1170a586a80961
12287a6414b680
1311889b7230ca
146dc1886b6b6
15378e479cdd0
hex1d6c8aa1e00

2022001221120 has 160 divisors (see below), whose sum is σ = 6486933416832. Its totient is φ = 537294446592.

The previous prime is 2022001221091. The next prime is 2022001221167. The reversal of 2022001221120 is 211221002202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×20220012211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022001221120.

It is a congruent number.

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, 1708279 + ... + 2638601.

Almost surely, 22022001221120 is an apocalyptic number.

2022001221120 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 2022001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243466708416).

2022001221120 is an abundant number, since it is smaller than the sum of its proper divisors (4464932195712).

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

2022001221120 is an equidigital number, since it uses as much as digits as its factorization.

2022001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930632 (or 930616 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022001221120 its reverse (211221002202), we get a palindrome (2233222223322).

The spelling of 2022001221120 in words is "two trillion, twenty-two billion, one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 283 320 384 480 512 566 640 768 849 960 1132 1280 1415 1536 1698 1920 2264 2560 2830 3396 3840 4245 4528 5660 6792 7680 8490 9056 11320 13584 16980 18112 22640 27168 33960 36224 45280 54336 67920 72448 90560 108672 135840 144896 181120 217344 271680 362240 434688 543360 724480 930323 1086720 1860646 2173440 2790969 3721292 4651615 5581938 7442584 9303230 11163876 13954845 14885168 18606460 22327752 27909690 29770336 37212920 44655504 55819380 59540672 74425840 89311008 111638760 119081344 148851680 178622016 223277520 238162688 263281409 297703360 357244032 446555040 476325376 526562818 595406720 714488064 789844227 893110080 1053125636 1190813440 1316407045 1428976128 1579688454 1786220160 2106251272 2381626880 2632814090 3159376908 3572440320 3949221135 4212502544 5265628180 6318753816 7144880640 7898442270 8425005088 10531256360 12637507632 15796884540 16850010176 21062512720 25275015264 31593769080 33700020352 42125025440 50550030528 63187538160 67400040704 84250050880 101100061056 126375076320 134800081408 168500101760 202200122112 252750152640 337000203520 404400244224 505500305280 674000407040 1011000610560 2022001221120