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2120212121020 = 2257173877229777
BaseRepresentation
bin11110110110100110011…
…111011000010110111100
321111200122020011022210121
4132312212133120112330
5234214143300333040
64302002331544324
7306115555450060
oct36664637302674
97450566138717
102120212121020
117481a4517634
122a2ab28bb0a4
13124c2068ab26
1474894051aa0
153a2418d3c4a
hex1eda67d85bc

2120212121020 has 96 divisors (see below), whose sum is σ = 5389246300032. Its totient is φ = 683989843968.

The previous prime is 2120212121009. The next prime is 2120212121023. The reversal of 2120212121020 is 201212120212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120212120985 and 2120212121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120212121023) 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, 9112372 + ... + 9342148.

It is an arithmetic number, because the mean of its divisors is an integer number (56137982292).

Almost surely, 22120212121020 is an apocalyptic number.

2120212121020 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 2120212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694623150016).

2120212121020 is an abundant number, since it is smaller than the sum of its proper divisors (3269034179012).

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

2120212121020 is a wasteful number, since it uses less digits than its factorization.

2120212121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233687 (or 233685 counting only the distinct ones).

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

Adding to 2120212121020 its reverse (201212120212), we get a palindrome (2321424241232).

The spelling of 2120212121020 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 3877 7754 15508 19385 27139 38770 54278 65909 77540 108556 131818 135695 229777 263636 271390 329545 459554 461363 542780 659090 919108 922726 1148885 1318180 1608439 1845452 2297770 2306815 3216878 3906209 4595540 4613630 6433756 7812418 8042195 9227260 15624836 16084390 19531045 27343463 32168780 39062090 54686926 78124180 109373852 136717315 273434630 546869260 890845429 1781690858 3563381716 4454227145 6235918003 8908454290 12471836006 15144372293 17816908580 24943672012 30288744586 31179590015 60577489172 62359180030 75721861465 106010606051 124718360060 151443722930 212021212102 302887445860 424042424204 530053030255 1060106060510 2120212121020