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1114112142100 = 225243811319477
BaseRepresentation
bin10000001101100110010…
…000100010101100010100
310221111201101112212100101
4100031212100202230110
5121223200202021400
62211452133423444
7143330510645656
oct20154620425424
93844641485311
101114112142100
1139a546294251
1215bb09a9ab84
13810a26bc509
143bccd8126d6
151dea988656a
hex10366422b14

1114112142100 has 72 divisors (see below), whose sum is σ = 2476905266528. Its totient is φ = 434742940800.

The previous prime is 1114112142083. The next prime is 1114112142133. The reversal of 1114112142100 is 12412114111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327562 + ... + 3647038.

Almost surely, 21114112142100 is an apocalyptic number.

1114112142100 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 1114112142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238452633264).

1114112142100 is an abundant number, since it is smaller than the sum of its proper divisors (1362793124428).

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

1114112142100 is a wasteful number, since it uses less digits than its factorization.

1114112142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320345 (or 320338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 1114112142100 its reverse (12412114111), we get a palindrome (1126524256211).

The spelling of 1114112142100 in words is "one trillion, one hundred fourteen billion, one hundred twelve million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 811 860 1075 1622 2150 3244 4055 4300 8110 16220 20275 34873 40550 69746 81100 139492 174365 319477 348730 638954 697460 871825 1277908 1597385 1743650 3194770 3487300 6389540 7986925 13737511 15973850 27475022 31947700 54950044 68687555 137375110 259095847 274750220 343437775 518191694 686875550 1036383388 1295479235 1373751100 2590958470 5181916940 6477396175 11141121421 12954792350 22282242842 25909584700 44564485684 55705607105 111411214210 222822428420 278528035525 557056071050 1114112142100