Search a number
-
+
1221112210170 = 2351722970914747
BaseRepresentation
bin10001110001001111111…
…101011010001011111010
311022201220102001111202110
4101301033331122023322
5130001314211211140
62332545440313150
7154136204346126
oct21611775321372
94281812044673
101221112210170
11430964010076
121787b00127b6
138b1c5529b68
144316040a586
1521b6d400380
hex11c4ff5a2fa

1221112210170 has 128 divisors (see below), whose sum is σ = 3121219526400. Its totient is φ = 304685862912.

The previous prime is 1221112210169. The next prime is 1221112210177. The reversal of 1221112210170 is 710122111221.

It is a super-2 number, since 2×12211122101702 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221112210177) 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, 82796737 + ... + 82811483.

It is an arithmetic number, because the mean of its divisors is an integer number (24384527550).

Almost surely, 21221112210170 is an apocalyptic number.

1221112210170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221112210170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560609763200).

1221112210170 is an abundant number, since it is smaller than the sum of its proper divisors (1900107316230).

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

1221112210170 is a wasteful number, since it uses less digits than its factorization.

1221112210170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15712.

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 1221112210170 its reverse (710122111221), we get a palindrome (1931234321391).

The spelling of 1221112210170 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred ten thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 229 255 458 510 687 709 1145 1374 1418 2127 2290 3435 3545 3893 4254 6870 7090 7786 10635 11679 12053 14747 19465 21270 23358 24106 29494 36159 38930 44241 58395 60265 72318 73735 88482 116790 120530 147470 162361 180795 221205 250699 324722 361590 442410 487083 501398 752097 811805 974166 1253495 1504194 1623610 2435415 2506990 2760137 3377063 3760485 4870830 5520274 6754126 7520970 8280411 10131189 10455623 13800685 16560822 16885315 20262378 20911246 27601370 31366869 33770630 41402055 50655945 52278115 57410071 62733738 82804110 101311890 104556230 114820142 156834345 172230213 177745591 287050355 313668690 344460426 355491182 533236773 574100710 861151065 888727955 1066473546 1722302130 1777455910 2394337667 2666183865 4788675334 5332367730 7183013001 11971688335 14366026002 23943376670 35915065005 40703740339 71830130010 81407480678 122111221017 203518701695 244222442034 407037403390 610556105085 1221112210170