Search a number
-
+
11110000000110 = 23511149719314257
BaseRepresentation
bin1010000110101011111110…
…0110100111110001101110
31110100002212000001122211120
42201222333212213301232
52424011240000000420
635343510305201410
72224446104564154
oct241527746476156
943302760048746
1011110000000110
1135a37a73aa110
1212b5238630266
1362788c92100b
142a5a267593d4
15143ee37a1d40
hexa1abf9a7c6e

11110000000110 has 128 divisors (see below), whose sum is σ = 29324042496000. Its totient is φ = 2671527966720.

The previous prime is 11110000000103. The next prime is 11110000000117. The reversal of 11110000000110 is 1100000001111.

It is an interprime number because it is at equal distance from previous prime (11110000000103) and next prime (11110000000117).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110000000117) 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, 35196102 + ... + 35510358.

It is an arithmetic number, because the mean of its divisors is an integer number (229094082000).

Almost surely, 211110000000110 is an apocalyptic number.

11110000000110 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 11110000000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662021248000).

11110000000110 is an abundant number, since it is smaller than the sum of its proper divisors (18214042495890).

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

11110000000110 is a wasteful number, since it uses less digits than its factorization.

11110000000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315146.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11110000000110 its reverse (1100000001111), we get a palindrome (12210000001221).

It can be divided in two parts, 1 and 1110000000110, that added together give a palindrome (1110000000111).

The spelling of 11110000000110 in words is "eleven trillion, one hundred ten billion, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 447 719 745 894 1438 1490 1639 2157 2235 3278 3595 4314 4470 4917 7190 7909 8195 9834 10785 15818 16390 21570 23727 24585 39545 47454 49170 79090 107131 118635 214262 237270 314257 321393 535655 628514 642786 942771 1071310 1178441 1571285 1606965 1885542 2356882 3142570 3213930 3456827 3535323 4713855 5892205 6913654 7070646 9427710 10370481 11784410 17284135 17676615 20740962 34568270 35353230 46824293 51852405 93648586 103704810 140472879 225950783 234121465 280945758 451901566 468242930 515067223 677852349 702364395 1030134446 1129753915 1355704698 1404728790 1545201669 2259507830 2485458613 2575336115 3090403338 3389261745 4970917226 5150672230 6778523490 7456375839 7726008345 12427293065 14912751678 15452016690 24854586130 33666666667 37281879195 67333333334 74563758390 101000000001 168333333335 202000000002 336666666670 370333333337 505000000005 740666666674 1010000000010 1111000000011 1851666666685 2222000000022 3703333333370 5555000000055 11110000000110