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111055010100 = 2235223113142433
BaseRepresentation
bin110011101101101100…
…1001111100100110100
3101121122121121001011020
41213123121033210310
53304420040310400
6123003514141140
711011022003436
oct1473331174464
9347577531136
10111055010100
1143109726891
12196341217b0
13a61ac57a38
145537370656
152d4ea432a0
hex19db64f934

111055010100 has 144 divisors (see below), whose sum is σ = 338259100032. Its totient is φ = 28076195840.

The previous prime is 111055010063. The next prime is 111055010119. The reversal of 111055010100 is 1010550111.

It is a super-2 number, since 2×1110550101002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111055010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708484 + ... + 850916.

It is an arithmetic number, because the mean of its divisors is an integer number (2349021528).

Almost surely, 2111055010100 is an apocalyptic number.

111055010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111055010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169129550016).

111055010100 is an abundant number, since it is smaller than the sum of its proper divisors (227204089932).

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

111055010100 is a wasteful number, since it uses less digits than its factorization.

111055010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142586 (or 142579 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 111055010100 its reverse (1010550111), we get a palindrome (112065560211).

It can be divided in two parts, 11105 and 5010100, that added together give a palindrome (5021205).

The spelling of 111055010100 in words is "one hundred eleven billion, fifty-five million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 113 115 138 150 226 230 276 300 339 345 452 460 565 575 678 690 1130 1150 1356 1380 1695 1725 2260 2300 2599 2825 3390 3450 5198 5650 6780 6900 7797 8475 10396 11300 12995 15594 16950 25990 31188 33900 38985 51980 64975 77970 129950 142433 155940 194925 259900 284866 389850 427299 569732 712165 779700 854598 1424330 1709196 2136495 2848660 3275959 3560825 4272990 6551918 7121650 8545980 9827877 10682475 13103836 14243300 16094929 16379795 19655754 21364950 32189858 32759590 39311508 42729900 48284787 49139385 64379716 65519180 80474645 81898975 96569574 98278770 160949290 163797950 193139148 196557540 241423935 245696925 321898580 327595900 370183367 402373225 482847870 491393850 740366734 804746450 965695740 982787700 1110550101 1207119675 1480733468 1609492900 1850916835 2221100202 2414239350 3701833670 4442200404 4828478700 5552750505 7403667340 9254584175 11105501010 18509168350 22211002020 27763752525 37018336700 55527505050 111055010100