Search a number
-
+
1112100111210 = 235112337909091
BaseRepresentation
bin10000001011101110010…
…101010000001101101010
310221022112011120002211210
4100023232111100031222
5121210040112024320
62210520340533550
7143226606655464
oct20135625201552
93838464502753
101112100111210
1139970357a700
1215b6480b12b6
1380b418c20aa
143bb7c505134
151dddcde90e0
hex102ee55036a

1112100111210 has 96 divisors (see below), whose sum is σ = 2942447167296. Its totient is φ = 268799731200.

The previous prime is 1112100111197. The next prime is 1112100111211. The reversal of 1112100111210 is 121110012111.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1112100111211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768765 + ... + 1677855.

It is an arithmetic number, because the mean of its divisors is an integer number (30650491326).

Almost surely, 21112100111210 is an apocalyptic number.

1112100111210 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 1112100111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471223583648).

1112100111210 is an abundant number, since it is smaller than the sum of its proper divisors (1830347056086).

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

1112100111210 is a wasteful number, since it uses less digits than its factorization.

1112100111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909460 (or 909449 counting only the distinct ones).

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

Adding to 1112100111210 its reverse (121110012111), we get a palindrome (1233210123321).

Subtracting from 1112100111210 its reverse (121110012111), we obtain a palindrome (990990099099).

The spelling of 1112100111210 in words is "one trillion, one hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 337 363 605 674 726 1011 1210 1685 1815 2022 3370 3630 3707 5055 7414 10110 11121 18535 22242 37070 40777 55605 81554 111210 122331 203885 244662 407770 611655 909091 1223310 1818182 2727273 4545455 5454546 9090910 10000001 13636365 20000002 27272730 30000003 50000005 60000006 100000010 110000011 150000015 220000022 300000030 306363667 330000033 550000055 612727334 660000066 919091001 1100000110 1531818335 1650000165 1838182002 3063636670 3300000330 3370000337 4595455005 6740000674 9190910010 10110001011 16850001685 20220002022 33700003370 37070003707 50550005055 74140007414 101100010110 111210011121 185350018535 222420022242 370700037070 556050055605 1112100111210