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1020211220220 = 2235191409635147
BaseRepresentation
bin11101101100010010101…
…00111100111011111100
310121112100021101210101220
432312021110330323330
5113203343033021340
62100402323033340
7133464533201223
oct16661124747374
93545307353356
101020211220220
1136373a700885
1214588280b850
137528965884a
14375427d1cba
151b810d05ed0
hexed8953cefc

1020211220220 has 96 divisors (see below), whose sum is σ = 3009077164800. Its totient is φ = 257554243584.

The previous prime is 1020211220153. The next prime is 1020211220227. The reversal of 1020211220220 is 220221120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020211220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020211220227) 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, 1288687 + ... + 1923833.

It is an arithmetic number, because the mean of its divisors is an integer number (31344553800).

Almost surely, 21020211220220 is an apocalyptic number.

1020211220220 is a gapful number since it is divisible by the number (10) 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 1020211220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504538582400).

1020211220220 is an abundant number, since it is smaller than the sum of its proper divisors (1988865944580).

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

1020211220220 is a wasteful number, since it uses less digits than its factorization.

1020211220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636587 (or 636585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020211220220 its reverse (220221120201), we get a palindrome (1240432340421).

The spelling of 1020211220220 in words is "one trillion, twenty billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1409 2818 4227 5636 7045 8454 14090 16908 21135 26771 28180 42270 53542 80313 84540 107084 133855 160626 267710 321252 401565 535420 635147 803130 1270294 1606260 1905441 2540588 3175735 3810882 6351470 7621764 9527205 12067793 12702940 19054410 24135586 36203379 38108820 48271172 60338965 72406758 120677930 144813516 181016895 241355860 362033790 724067580 894922123 1789844246 2684766369 3579688492 4474610615 5369532738 8949221230 10739065476 13423831845 17003520337 17898442460 26847663690 34007040674 51010561011 53695327380 68014081348 85017601685 102021122022 170035203370 204042244044 255052805055 340070406740 510105610110 1020211220220