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2010220102220 = 22511131106365617
BaseRepresentation
bin11101010000001010011…
…101001000001001001100
321010011201200202211120112
4131100022131020021030
5230413412321232340
64135252105135152
7265143061640321
oct35201235101114
97104650684515
102010220102220
11705590928960
1228571678a4b8
13117741a26935
146d41bd48b48
1537455366065
hex1d40a74824c

2010220102220 has 96 divisors (see below), whose sum is σ = 4644822099456. Its totient is φ = 724715596800.

The previous prime is 2010220102217. The next prime is 2010220102223. The reversal of 2010220102220 is 222010220102.

It is an interprime number because it is at equal distance from previous prime (2010220102217) and next prime (2010220102223).

It is a junction number, because it is equal to n+sod(n) for n = 2010220102195 and 2010220102204.

It is not an unprimeable number, because it can be changed into a prime (2010220102223) 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, 30602852 + ... + 30668468.

It is an arithmetic number, because the mean of its divisors is an integer number (48383563536).

Almost surely, 22010220102220 is an apocalyptic number.

2010220102220 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 2010220102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322411049728).

2010220102220 is an abundant number, since it is smaller than the sum of its proper divisors (2634601997236).

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

2010220102220 is a wasteful number, since it uses less digits than its factorization.

2010220102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66831 (or 66829 counting only the distinct ones).

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

Adding to 2010220102220 its reverse (222010220102), we get a palindrome (2232230322322).

The spelling of 2010220102220 in words is "two trillion, ten billion, two hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1063 1310 1441 2126 2620 2882 4252 5315 5764 7205 10630 11693 14410 21260 23386 28820 46772 58465 65617 116930 131234 139253 233860 262468 278506 328085 557012 656170 696265 721787 1312340 1392530 1443574 1531783 2785060 2887148 3063566 3608935 6127132 7217870 7658915 8595827 14435740 15317830 17191654 30635660 34383308 42979135 69750871 85958270 94554097 139501742 171916540 189108194 279003484 348754355 378216388 472770485 697508710 767259581 945540970 1395017420 1534519162 1891081940 3069038324 3836297905 7672595810 9137364101 15345191620 18274728202 36549456404 45686820505 91373641010 100511005111 182747282020 201022010222 402044020444 502555025555 1005110051110 2010220102220