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1112313011100 = 2235259103160953
BaseRepresentation
bin10000001011111011000…
…001011001101110011100
310221100002000011112120220
4100023323001121232130
5121211004112323400
62210553424041340
7143235103411044
oct20137301315634
93840060145526
101112313011100
11399802773525
1215b6a7463250
1380b76a44b65
143bb9c8c4724
151de019507a0
hex102fb059b9c

1112313011100 has 144 divisors (see below), whose sum is σ = 3276067818240. Its totient is φ = 291301798400.

The previous prime is 1112313011077. The next prime is 1112313011101. The reversal of 1112313011100 is 11103132111.

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 1112313011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112313011101) 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, 18218224 + ... + 18279176.

It is an arithmetic number, because the mean of its divisors is an integer number (22750470960).

Almost surely, 21112313011100 is an apocalyptic number.

1112313011100 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 1112313011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638033909120).

1112313011100 is an abundant number, since it is smaller than the sum of its proper divisors (2163754807140).

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

1112313011100 is a wasteful number, since it uses less digits than its factorization.

1112313011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62060 (or 62053 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1112313011100 its reverse (11103132111), we get a palindrome (1123416143211).

The spelling of 1112313011100 in words is "one trillion, one hundred twelve billion, three hundred thirteen million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1031 1180 1475 1770 2062 2950 3093 3540 4124 4425 5155 5900 6186 8850 10310 12372 15465 17700 20620 25775 30930 51550 60829 60953 61860 77325 103100 121658 121906 154650 182487 182859 243316 243812 304145 304765 309300 364974 365718 608290 609530 729948 731436 912435 914295 1216580 1219060 1520725 1523825 1824870 1828590 3041450 3047650 3596227 3649740 3657180 4562175 4571475 6082900 6095300 7192454 9124350 9142950 10788681 14384908 17981135 18248700 18285900 21577362 35962270 43154724 53943405 62842543 71924540 89905675 107886810 125685086 179811350 188527629 215773620 251370172 269717025 314212715 359622700 377055258 539434050 628425430 754110516 942638145 1078868100 1256850860 1571063575 1885276290 3142127150 3707710037 3770552580 4713190725 6284254300 7415420074 9426381450 11123130111 14830840148 18538550185 18852762900 22246260222 37077100370 44492520444 55615650555 74154200740 92692750925 111231301110 185385501850 222462602220 278078252775 370771003700 556156505550 1112313011100