Search a number
-
+
2221321211010 = 23251111871890277
BaseRepresentation
bin100000010100110001000…
…011111100110010000010
321212100121200202021111100
4200110301003330302002
5242343231212223020
64420243314355230
7316325260521066
oct40246103746202
97770550667440
102221321211010
11787069a06430
122ba60bb8bb16
13131614bb1825
14797264d9aa6
153cbad19ca90
hex205310fcc82

2221321211010 has 96 divisors (see below), whose sum is σ = 6305785941312. Its totient is φ = 538048160640.

The previous prime is 2221321210991. The next prime is 2221321211063. The reversal of 2221321211010 is 101121231222.

2221321211010 is a `hidden beast` number, since 2 + 221 + 321 + 2 + 110 + 10 = 666.

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, 229992 + ... + 2120268.

It is an arithmetic number, because the mean of its divisors is an integer number (65685270222).

Almost surely, 22221321211010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221321211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152892970656).

2221321211010 is an abundant number, since it is smaller than the sum of its proper divisors (4084464730302).

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

2221321211010 is a wasteful number, since it uses less digits than its factorization.

2221321211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891488 (or 1891485 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2221321211010 its reverse (101121231222), we get a palindrome (2322442442232).

The spelling of 2221321211010 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1187 2374 3561 5935 7122 10683 11870 13057 17805 21366 26114 35610 39171 53415 65285 78342 106830 117513 130570 195855 235026 391710 587565 1175130 1890277 3780554 5670831 9451385 11341662 17012493 18902770 20793047 28354155 34024986 41586094 56708310 62379141 85062465 103965235 124758282 170124930 187137423 207930470 311895705 374274846 623791410 935687115 1871374230 2243758799 4487517598 6731276397 11218793995 13462552794 20193829191 22437587990 24681346789 33656381985 40387658382 49362693578 67312763970 74044040367 100969145955 123406733945 148088080734 201938291910 222132121101 246813467890 370220201835 444264242202 740440403670 1110660605505 2221321211010