Search a number
-
+
1113411344100 = 2235211361793281
BaseRepresentation
bin10000001100111100011…
…111001101011011100100
310221102220112212122012220
4100030330133031123210
5121220231301002400
62211254421112340
7143304241162056
oct20147437153344
93842815778186
101113411344100
1139a21674a350
1215b9532586b0
1380cc0460b43
143bc6470b8d6
151de680a77a0
hex1033c7cd6e4

1113411344100 has 144 divisors (see below), whose sum is σ = 3515340378816. Its totient is φ = 269840384000.

The previous prime is 1113411344029. The next prime is 1113411344117. The reversal of 1113411344100 is 14431143111.

It is a super-5 number, since 5×11134113441005 (a number of 61 digits) contains 55555 as substring.

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, 11889460 + ... + 11982740.

It is an arithmetic number, because the mean of its divisors is an integer number (24412085964).

Almost surely, 21113411344100 is an apocalyptic number.

1113411344100 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 1113411344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757670189408).

1113411344100 is an abundant number, since it is smaller than the sum of its proper divisors (2401929034716).

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

1113411344100 is a wasteful number, since it uses less digits than its factorization.

1113411344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96926 (or 96919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1113411344100 its reverse (14431143111), we get a palindrome (1127842487211).

The spelling of 1113411344100 in words is "one trillion, one hundred thirteen billion, four hundred eleven million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3617 7234 10851 14468 18085 21702 36170 39787 43404 54255 72340 79574 90425 93281 108510 119361 159148 180850 186562 198935 217020 238722 271275 279843 361700 373124 397870 466405 477444 542550 559686 596805 795740 932810 994675 1026091 1085100 1119372 1193610 1399215 1865620 1989350 2052182 2332025 2387220 2798430 2984025 3078273 3978700 4104364 4664050 5130455 5596860 5968050 6156546 6996075 9328100 10260910 11936100 12313092 13992150 15391365 20521820 25652275 27984300 30782730 51304550 61565460 76956825 102609100 153913650 307827300 337397377 674794754 1012192131 1349589508 1686986885 2024384262 3373973770 3711371147 4048768524 5060960655 6747947540 7422742294 8434934425 10121921310 11134113441 14845484588 16869868850 18556855735 20243842620 22268226882 25304803275 33739737700 37113711470 44536453764 50609606550 55670567205 74227422940 92784278675 101219213100 111341134410 185568557350 222682268820 278352836025 371137114700 556705672050 1113411344100