Search a number
-
+
1012112211110 = 2571113388925999
BaseRepresentation
bin11101011101001101001…
…01101011110010100110
310120202102211200111112112
432232212211223302212
5113040301211223420
62052542525121022
7133060040563610
oct16564645536246
93522384614475
101012112211110
11360263a59420
121441a23b9172
137459875ac70
1436db4d13db0
151b4d9c9e8c5
hexeba696bca6

1012112211110 has 128 divisors (see below), whose sum is σ = 2446778880000. Its totient is φ = 291111045120.

The previous prime is 1012112211109. The next prime is 1012112211119. The reversal of 1012112211110 is 111122112101.

It is a super-2 number, since 2×10121122111102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112211119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38915891 + ... + 38941889.

It is an arithmetic number, because the mean of its divisors is an integer number (19115460000).

Almost surely, 21012112211110 is an apocalyptic number.

1012112211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012112211110 is an abundant number, since it is smaller than the sum of its proper divisors (1434666668890).

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

1012112211110 is a wasteful number, since it uses less digits than its factorization.

1012112211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29926.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1012112211110 its reverse (111122112101), we get a palindrome (1123234323211).

Subtracting from 1012112211110 its reverse (111122112101), we obtain a palindrome (900990099009).

The spelling of 1012112211110 in words is "one trillion, twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 3889 5005 7778 10010 19445 25999 27223 38890 42779 50557 51998 54446 85558 101114 129995 136115 181993 213895 252785 259990 272230 285989 299453 337987 353899 363986 427790 505570 556127 571978 598906 675974 707798 909965 1112254 1429945 1497265 1689935 1769495 1819930 2001923 2365909 2780635 2859890 2994530 3379870 3538990 3717857 3892889 4003846 4731818 5561270 7435714 7785778 10009615 11829545 18589285 19464445 20019230 23659090 26024999 37178570 38928890 52049998 101110111 130124995 202220222 260249990 505550555 707770777 1011101110 1112211221 1314431443 1415541554 2224422442 2628862886 3538853885 5561056105 6572157215 7077707770 7785478547 9201020101 11122112210 13144314430 14458745873 15570957094 18402040202 28917491746 38927392735 46005100505 72293729365 77854785470 92010201010 101211221111 144587458730 202422442222 506056105555 1012112211110