Search a number
-
+
1112210011110 = 2351137113806107
BaseRepresentation
bin10000001011110100111…
…000011111001111100110
310221022210211100121011110
4100023310320133033212
5121210301230323420
62210535304245450
7143232413052402
oct20136470371746
93838724317143
101112210011110
1139975a613070
1215b678a70886
1380b5b5c0a13
143bb8cd52102
151dde78a6ee0
hex102f4e1f3e6

1112210011110 has 128 divisors (see below), whose sum is σ = 3017139715584. Its totient is φ = 260017551360.

The previous prime is 1112210011091. The next prime is 1112210011111. The reversal of 1112210011110 is 111100122111.

It is a super-2 number, since 2×11122100111102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112210011111) 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, 976677 + ... + 1782783.

It is an arithmetic number, because the mean of its divisors is an integer number (23571404028).

Almost surely, 21112210011110 is an apocalyptic number.

1112210011110 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 1112210011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508569857792).

1112210011110 is an abundant number, since it is smaller than the sum of its proper divisors (1904929704474).

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

1112210011110 is a wasteful number, since it uses less digits than its factorization.

1112210011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806278.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1112210011110 its reverse (111100122111), we get a palindrome (1223310133221).

It can be divided in two parts, 111221001 and 1110, that added together give a palindrome (111222111).

The spelling of 1112210011110 in words is "one trillion, one hundred twelve billion, two hundred ten million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 113 165 185 222 226 330 339 370 407 555 565 678 814 1110 1130 1221 1243 1695 2035 2442 2486 3390 3729 4070 4181 6105 6215 7458 8362 12210 12430 12543 18645 20905 25086 37290 41810 45991 62715 91982 125430 137973 229955 275946 459910 689865 806107 1379730 1612214 2418321 4030535 4836642 8061070 8867177 12091605 17734354 24183210 26601531 29825959 44335885 53203062 59651918 88671770 89477877 91090091 133007655 149129795 178955754 182180182 266015310 273270273 298259590 328085549 447389385 455450455 546540546 656171098 894778770 910900910 984256647 1001991001 1366351365 1640427745 1968513294 2003982002 2732702730 3005973003 3280855490 3370333367 4921283235 5009955005 6011946006 6740666734 9842566470 10019910010 10111000101 15029865015 16851666835 20222000202 30059730030 33703333670 37073667037 50555000505 74147334074 101110001010 111221001111 185368335185 222442002222 370736670370 556105005555 1112210011110