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2022011100120 = 2335113149413761
BaseRepresentation
bin11101011011001001010…
…000001101101111011000
321011022011102121120221110
4131123021100031233120
5231112034320200440
64144522111140320
7266041214524434
oct35331120155730
97138142546843
102022011100120
1170a591609120
12287a675146a0
131188a07a187b
146dc19cbd9c4
15378e55a0080
hex1d6c940dbd8

2022011100120 has 128 divisors (see below), whose sum is σ = 6830958458880. Its totient is φ = 474372096000.

The previous prime is 2022011100119. The next prime is 2022011100121. The reversal of 2022011100120 is 210011102202.

It is an interprime number because it is at equal distance from previous prime (2022011100119) and next prime (2022011100121).

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 = 2022011100096 and 2022011100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022011100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24665961 + ... + 24747800.

It is an arithmetic number, because the mean of its divisors is an integer number (53366862960).

Almost surely, 22022011100120 is an apocalyptic number.

2022011100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022011100120 is an abundant number, since it is smaller than the sum of its proper divisors (4808947358760).

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

2022011100120 is a wasteful number, since it uses less digits than its factorization.

2022011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49413817 (or 49413813 counting only the distinct ones).

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

Adding to 2022011100120 its reverse (210011102202), we get a palindrome (2232022202322).

The spelling of 2022011100120 in words is "two trillion, twenty-two billion, eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 49413761 98827522 148241283 197655044 247068805 296482566 395310088 494137610 543551371 592965132 741206415 988275220 1087102742 1185930264 1482412830 1531826591 1630654113 1976550440 2174205484 2717756855 2964825660 3063653182 3261308226 4348410968 4595479773 5435513710 5929651320 6127306364 6522616452 7659132955 8153270565 9190959546 10871027420 12254612728 13045232904 15318265910 16306541130 16850092501 18381919092 21742054840 22977398865 30636531820 32613082260 33700185002 36763838184 45954797730 50550277503 61273063640 65226164520 67400370004 84250462505 91909595460 101100555006 134800740008 168500925010 183819190920 202201110012 252751387515 337001850020 404402220024 505502775030 674003700040 1011005550060 2022011100120