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2102104140210 = 2325611193320953
BaseRepresentation
bin11110100101101111001…
…010111010100110110010
321102221220020210120221200
4132211233022322212302
5233420102124441320
64245405431032030
7304605046243104
oct36455712724662
97387806716850
102102104140210
11740551a92638
1229b49a50b616
131232c5c81299
1473a57157574
1539a31ceb290
hex1e96f2ba9b2

2102104140210 has 96 divisors (see below), whose sum is σ = 5559742354608. Its totient is φ = 550907688960.

The previous prime is 2102104140161. The next prime is 2102104140221. The reversal of 2102104140210 is 120414012012.

2102104140210 is a `hidden beast` number, since 2 + 1 + 0 + 210 + 41 + 402 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 424672485561 + 1677431654649 = 651669^2 + 1295157^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6389094 + ... + 6710046.

Almost surely, 22102104140210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102104140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779871177304).

2102104140210 is an abundant number, since it is smaller than the sum of its proper divisors (3457638214398).

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

2102104140210 is a wasteful number, since it uses less digits than its factorization.

2102104140210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322220 (or 322217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102104140210 its reverse (120414012012), we get a palindrome (2222518152222).

The spelling of 2102104140210 in words is "two trillion, one hundred two billion, one hundred four million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1193 1830 2386 2745 3579 5490 5965 7158 10737 11930 17895 21474 35790 53685 72773 107370 145546 218319 320953 363865 436638 641906 654957 727730 962859 1091595 1309914 1604765 1925718 2183190 2888577 3209530 3274785 4814295 5777154 6549570 9628590 14442885 19578133 28885770 39156266 58734399 97890665 117468798 176203197 195781330 293671995 352406394 382896929 587343990 765793858 881015985 1148690787 1762031970 1914484645 2297381574 3446072361 3828969290 5743453935 6892144722 11486907870 17230361805 23356712669 34460723610 46713425338 70070138007 116783563345 140140276014 210210414021 233567126690 350350690035 420420828042 700701380070 1051052070105 2102104140210