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2102201121210 = 235473976196067
BaseRepresentation
bin11110100101110100111…
…100110111100110111010
321102222011000021201212120
4132211310330313212322
5233420301441334320
64245423213422110
7304610334462411
oct36456474674672
97388130251776
102102201121210
117405a1801923
1229b506a9a936
131233100a88a8
1473a65da0478
1539a3a5a6440
hex1e974f379ba

2102201121210 has 128 divisors (see below), whose sum is σ = 5174805934080. Its totient is φ = 546303377664.

The previous prime is 2102201121127. The next prime is 2102201121217. The reversal of 2102201121210 is 121211022012.

It is a super-2 number, since 2×21022011212102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102201121210.

It is not an unprimeable number, because it can be changed into a prime (2102201121217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346494597 + ... + 346500663.

It is an arithmetic number, because the mean of its divisors is an integer number (40428171360).

Almost surely, 22102201121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102201121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587402967040).

2102201121210 is an abundant number, since it is smaller than the sum of its proper divisors (3072604812870).

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

2102201121210 is a wasteful number, since it uses less digits than its factorization.

2102201121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102201121210 its reverse (121211022012), we get a palindrome (2223412143222).

The spelling of 2102201121210 in words is "two trillion, one hundred two billion, two hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 397 470 619 705 794 1191 1238 1410 1857 1985 2382 3095 3714 3970 5955 6067 6190 9285 11910 12134 18201 18570 18659 29093 30335 36402 37318 55977 58186 60670 87279 91005 93295 111954 145465 174558 182010 186590 245743 279885 285149 290930 436395 491486 559770 570298 737229 855447 872790 1228715 1425745 1474458 1710894 2408599 2457430 2851490 3686145 3755473 4277235 4817198 7225797 7372290 7510946 8554470 11266419 11549921 12042995 14451594 18777365 22532838 23099842 24085990 34649763 36128985 37554730 56332095 57749605 69299526 72257970 112664190 113204153 115499210 173248815 176507231 226408306 339612459 346497630 353014462 529521693 566020765 679224918 882536155 1059043386 1132041530 1490922781 1698062295 1765072310 2647608465 2981845562 3396124590 4472768343 5295216930 7454613905 8945536686 14909227810 22363841715 44727683430 70073370707 140146741414 210220112121 350366853535 420440224242 700733707070 1051100560605 2102201121210