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2110122221020 = 2251123135215347
BaseRepresentation
bin11110101101001101000…
…101011101110111011100
321110201121001020022001121
4132231031011131313130
5234033012242033040
64253213214220324
7305310536640022
oct36551505356734
97421531208047
102110122221020
11743996a8a400
122a0b577b46a4
13123ca31850b8
14741b7daa712
1539d50bb8c4a
hex1eb4d15dddc

2110122221020 has 144 divisors (see below), whose sum is σ = 4896575790624. Its totient is φ = 763254835200.

The previous prime is 2110122220979. The next prime is 2110122221021. The reversal of 2110122221020 is 201222210112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2110122220985 and 2110122221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110122221021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394633987 + ... + 394639333.

It is an arithmetic number, because the mean of its divisors is an integer number (34003998546).

Almost surely, 22110122221020 is an apocalyptic number.

2110122221020 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 2110122221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448287895312).

2110122221020 is an abundant number, since it is smaller than the sum of its proper divisors (2786453569604).

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

2110122221020 is a wasteful number, since it uses less digits than its factorization.

2110122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2110122221020 its reverse (201222210112), we get a palindrome (2311344431132).

The spelling of 2110122221020 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 313 484 521 605 626 1042 1210 1252 1565 2084 2420 2605 3130 3443 5210 5347 5731 6260 6886 10420 10694 11462 13772 17215 21388 22924 26735 28655 34430 37873 53470 57310 58817 63041 68860 75746 106940 114620 117634 126082 151492 163073 189365 235268 252164 294085 315205 326146 378730 588170 630410 646987 652292 757460 815365 1176340 1260820 1293974 1630730 1673611 1793803 2587948 2785787 3234935 3261460 3347222 3587606 5571574 6469870 6694444 7175212 8368055 8969015 11143148 12939740 13928935 16736110 17938030 18409721 19731833 27857870 30643657 33472220 35876060 36819442 39463666 55715740 61287314 73638884 78927332 92048605 98659165 122574628 153218285 184097210 197318330 202506931 306436570 337080227 368194420 394636660 405013862 612873140 674160454 810027724 871951331 1012534655 1348320908 1685401135 1743902662 2025069310 3370802270 3487805324 4050138620 4359756655 6741604540 8719513310 9591464641 17439026620 19182929282 38365858564 47957323205 95914646410 105506111051 191829292820 211012222102 422024444204 527530555255 1055061110510 2110122221020