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2102230244100 = 2235274523221327
BaseRepresentation
bin11110100101110110101…
…011111101101100000100
321102222020001002022222010
4132211312223331230010
5233420331420302400
64245430133534220
7304611140145660
oct36456653755404
97388201068863
102102230244100
11740607193328
1229b5147a4370
1312331613457c
1473a69bc18a0
1539a3ce0a450
hex1e976afdb04

2102230244100 has 144 divisors (see below), whose sum is σ = 6952942983168. Its totient is φ = 480401362560.

The previous prime is 2102230244099. The next prime is 2102230244123. The reversal of 2102230244100 is 14420322012.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 9387637 + ... + 9608963.

It is an arithmetic number, because the mean of its divisors is an integer number (48284326272).

Almost surely, 22102230244100 is an apocalyptic number.

2102230244100 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 2102230244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476471491584).

2102230244100 is an abundant number, since it is smaller than the sum of its proper divisors (4850712739068).

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

2102230244100 is a wasteful number, since it uses less digits than its factorization.

2102230244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225874 (or 225867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2102230244100 its reverse (14420322012), we get a palindrome (2116650566112).

The spelling of 2102230244100 in words is "two trillion, one hundred two billion, two hundred thirty million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4523 9046 13569 18092 22615 27138 31661 45230 54276 63322 67845 90460 94983 113075 126644 135690 158305 189966 221327 226150 271380 316610 339225 379932 442654 452300 474915 633220 663981 678450 791525 885308 949830 1106635 1327962 1356900 1549289 1583050 1899660 2213270 2374575 2655924 3098578 3166100 3319905 4426540 4647867 4749150 5533175 6197156 6639810 7746445 9295734 9498300 11066350 13279620 15492890 16599525 18591468 22132700 23239335 30985780 33199050 38732225 46478670 66398100 77464450 92957340 116196675 154928900 232393350 464786700 1001062021 2002124042 3003186063 4004248084 5005310105 6006372126 7007434147 10010620210 12012744252 14014868294 15015930315 20021240420 21022302441 25026550525 28029736588 30031860630 35037170735 42044604882 50053101050 60063721260 70074341470 75079651575 84089209764 100106202100 105111512205 140148682940 150159303150 175185853675 210223024410 300318606300 350371707350 420446048820 525557561025 700743414700 1051115122050 2102230244100