Search a number
-
+
2102323233220 = 2257241137381917
BaseRepresentation
bin11110100101111100001…
…110101100000111000100
321102222110112001200001121
4132211330032230013010
5233421024221430340
64245443255003324
7304613346431200
oct36457416540704
97388415050047
102102323233220
11740654726441
1229b53b969544
1312332c491c12
1473a782a9b00
1539a4617794a
hex1e97c3ac1c4

2102323233220 has 144 divisors (see below), whose sum is σ = 5299350566832. Its totient is φ = 698081341440.

The previous prime is 2102323233181. The next prime is 2102323233233. The reversal of 2102323233220 is 223323232012.

It can be written as a sum of positive squares in 8 ways, for example, as 178842718404 + 1923480514816 = 422898^2 + 1386896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5313702 + ... + 5695618.

It is an arithmetic number, because the mean of its divisors is an integer number (36801045603).

Almost surely, 22102323233220 is an apocalyptic number.

2102323233220 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 2102323233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649675283416).

2102323233220 is an abundant number, since it is smaller than the sum of its proper divisors (3197027333612).

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

2102323233220 is a wasteful number, since it uses less digits than its factorization.

2102323233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382118 (or 382109 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 2102323233220 its reverse (223323232012), we get a palindrome (2325646465232).

The spelling of 2102323233220 in words is "two trillion, one hundred two billion, three hundred twenty-three million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 137 140 164 196 205 245 274 287 410 490 548 574 685 820 959 980 1148 1370 1435 1918 2009 2740 2870 3836 4018 4795 5617 5740 6713 8036 9590 10045 11234 13426 19180 20090 22468 26852 28085 33565 39319 40180 56170 67130 78638 112340 134260 157276 196595 275233 381917 393190 550466 763834 786380 1100932 1376165 1527668 1909585 2673419 2752330 3819170 5346838 5504660 7638340 10693676 13367095 15658597 18713933 26734190 31317194 37427866 52322629 53468380 62634388 74855732 78292985 93569665 104645258 109610179 156585970 187139330 209290516 219220358 261613145 313171940 366258403 374278660 438440716 523226290 548050895 732516806 767271253 1046452580 1096101790 1465033612 1534542506 1831292015 2145227789 2192203580 2563808821 3069085012 3662584030 3836356265 4290455578 5127617642 7325168060 7672712530 8580911156 10255235284 10726138945 12819044105 15016594523 15345425060 21452277890 25638088210 30033189046 42904555780 51276176420 60066378092 75082972615 105116161661 150165945230 210232323322 300331890460 420464646644 525580808305 1051161616610 2102323233220