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2100000221010 = 2325374969126913
BaseRepresentation
bin11110100011110001110…
…001000110011101010010
321102202110121220102101100
4132203301301012131102
5233401300024033020
64244420552445230
7304501651233636
oct36436161063522
97382417812340
102100000221010
1173a672417a3a
1229abb19a9816
1312304c120593
14738d796adc6
153995c25ca90
hex1e8f1c46752

2100000221010 has 96 divisors (see below), whose sum is σ = 5608740861360. Its totient is φ = 544750977024.

The previous prime is 2100000220949. The next prime is 2100000221023. The reversal of 2100000221010 is 101220000012.

It can be written as a sum of positive squares in 8 ways, for example, as 1561242753009 + 538757468001 = 1249497^2 + 734001^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100000220983 and 2100000221001.

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, 16483314 + ... + 16610226.

Almost surely, 22100000221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100000221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804370430680).

2100000221010 is an abundant number, since it is smaller than the sum of its proper divisors (3508740640350).

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

2100000221010 is a wasteful number, since it uses less digits than its factorization.

2100000221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131932 (or 131929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100000221010 its reverse (101220000012), we get a palindrome (2201220221022).

The spelling of 2100000221010 in words is "two trillion, one hundred billion, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4969 9938 14907 24845 29814 44721 49690 74535 89442 126913 149070 183853 223605 253826 367706 380739 447210 551559 634565 761478 919265 1103118 1142217 1269130 1654677 1838530 1903695 2284434 2757795 3309354 3807390 4695781 5515590 5711085 8273385 9391562 11422170 14087343 16546770 23478905 28174686 42262029 46957810 70436715 84524058 140873430 211310145 422620290 630630697 1261261394 1891892091 3153153485 3783784182 5675676273 6306306970 9459460455 11351352546 18918920910 23333335789 28378381365 46666671578 56756762730 70000007367 116666678945 140000014734 210000022101 233333357890 350000036835 420000044202 700000073670 1050000110505 2100000221010