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2102222010020 = 2251124671860143
BaseRepresentation
bin11110100101110110001…
…100100011011010100100
321102222012110120222221012
4132211312030203122210
5233420322313310040
64245425241241352
7304611010152626
oct36456614433244
97388173528835
102102222010020
11740602579a00
1229b511a93258
13123314510732
1473a68a7ac16
1539a3c330865
hex1e9763236a4

2102222010020 has 72 divisors (see below), whose sum is σ = 4862877731712. Its totient is φ = 762807031360.

The previous prime is 2102222010017. The next prime is 2102222010023. The reversal of 2102222010020 is 200102222012.

It is an interprime number because it is at equal distance from previous prime (2102222010017) and next prime (2102222010023).

It is a junction number, because it is equal to n+sod(n) for n = 2102222009977 and 2102222010004.

It is not an unprimeable number, because it can be changed into a prime (2102222010023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200069 + ... + 2060211.

It is an arithmetic number, because the mean of its divisors is an integer number (67539968496).

Almost surely, 22102222010020 is an apocalyptic number.

2102222010020 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 2102222010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431438865856).

2102222010020 is an abundant number, since it is smaller than the sum of its proper divisors (2760655721692).

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

2102222010020 is a wasteful number, since it uses less digits than its factorization.

2102222010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860641 (or 1860628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102222010020 its reverse (200102222012), we get a palindrome (2302324232032).

The spelling of 2102222010020 in words is "two trillion, one hundred two billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 467 484 605 934 1210 1868 2335 2420 4670 5137 9340 10274 20548 25685 51370 56507 102740 113014 226028 282535 565070 1130140 1860143 3720286 7440572 9300715 18601430 20461573 37202860 40923146 81846292 102307865 204615730 225077303 409231460 450154606 868686781 900309212 1125386515 1737373562 2250773030 3474747124 4343433905 4501546060 8686867810 9555554591 17373735620 19111109182 38222218364 47777772955 95555545910 105111100501 191111091820 210222201002 420444402004 525555502505 1051111005010 2102222010020